@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119522,
    title ="Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part I: the 3-Dimensional Case",
    author = "Hou, Thomas Y. and Zhang, Shumao",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194424192",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119523,
    title ="Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part II: the N-Dimensional Case",
    author = "Hou, Thomas Y. and Zhang, Shumao",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194427740",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119521,
    title ="Exponentially Convergent Multiscale Finite Element Method",
    author = "Chen, Yifan and Hou, Thomas Y. and Wang, Yixuan",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194420642",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118564,
    title ="Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators",
    author = "Maust, Haydn and Li, Zongyi and Wang, Yixuan and Leibovici, Daniel and Bruno, Oscar and Hou, Thomas and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "November",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221221-004750416",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119517,
    title ="Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data",
    author = "Chen, Jiajie and Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
    month = "October",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-191437852",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117078,
    title ="Potential Singularity of the 3D Euler Equations in the Interior Domain",
    author = "Hou, Thomas Y.",
    journal = "Foundations of Computational Mathematics",
    
    
    
    month = "September",
    year = "2022",
    doi = "https://doi.org/10.1007/s10208-022-09585-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220919-922490500",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117077,
    title ="Potentially Singular Behavior of the 3D Navier-Stokes Equations",
    author = "Hou, Thomas Y.",
    journal = "Foundations of Computational Mathematics",
    
    
    
    month = "September",
    year = "2022",
    doi = "https://doi.org/10.1007/s10208-022-09578-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220919-258327700",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/115058,
    title ="A potential two-scale traveling wave singularity for 3D incompressible Euler equations",
    author = "Hou, Thomas Y. and Huang, De",
    journal = "Physica D",
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    pages = "Art. No. 133257",
    month = "July",
    year = "2022",
    doi = "https://doi.org/10.1016/j.physd.2022.133257",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220607-425321000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119520,
    title ="On stability and instability of C^(1,α) singular solutions to the 3D Euler and 2D Boussinesq equations",
    author = "Chen, Jiajie and Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
    month = "June",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194417020",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118059,
    title ="Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations",
    author = "Chen, Jiajie and Hou, Thomas Y. and Huang, De",
    journal = "Annals of PDE",
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    number = "2",
    pages = "Art. No. 24",
    month = "June",
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    doi = "https://doi.org/10.1007/s40818-022-00140-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221128-494241100.17",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/115996,
    title ="Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data",
    author = "Chen, Yifan and Hou, Thomas Y.",
    journal = "Multiscale Modeling and Simulation",
    volume = "20",
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    pages = "188-219",
    month = "March",
    year = "2022",
    doi = "https://doi.org/10.1137/20M1372214",
    
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}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118574,
    title ="Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold",
    author = "Hou, Thomas Y. and Li, Zhenzhen and Zhang, Ziyun",
    journal = "arXiv",
    
    
    
    month = "July",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221221-220346410",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119519,
    title ="The potentially singular behavior of the 3D Navier-Stokes equations",
    author = "Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
    month = "July",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-193545252",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119518,
    title ="Potential singularity of the 3D Euler equations in the interior domain",
    author = "Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
    month = "July",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-192413744",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/115233,
    title ="Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference",
    author = "Zhang, Shumao and Zhang, Pengchuan and Hou, Thomas Y.",
    journal = "Proceedings of Machine Learning Research",
    volume = "139",
    
    pages = "12632-12641",
    month = "July",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220622-203755587",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/110985,
    title ="Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions",
    author = "Chen, Yifan and Hou, Thomas Y. and Wang, Yixuan",
    journal = "Multiscale Modeling and Simulation",
    volume = "19",
    number = "2",
    pages = "980-1010",
    month = "June",
    year = "2021",
    doi = "https://doi.org/10.1137/20m1352922",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-170252834",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100872,
    title ="On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations",
    author = "Chen, Jiajie and Hou, Thomas Y. and Huang, De",
    journal = "Communications on Pure and Applied Mathematics",
    volume = "74",
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    month = "June",
    year = "2021",
    doi = "https://doi.org/10.1002/cpa.21991",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100851,
    title ="Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with C^(1,α) Velocity and Boundary",
    author = "Chen, Jiajie and Hou, Thomas Y.",
    journal = "Communications in Mathematical Physics",
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    month = "May",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200122-142818756",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100823,
    title ="Function approximation via the subsampled Poincaré inequality",
    author = "Chen, Yifan and Hou, Thomas Y.",
    journal = "Discrete and Continuous Dynamical Systems - Series A",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118576,
    title ="Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization",
    author = "Hou, Thomas Y. and Li, Zhenzhen and Zhang, Ziyun",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221221-220354531",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100909,
    title ="A prototype knockoff filter for group selection with FDR control",
    author = "Chen, Jiajie and Hou, Anthony and Hou, Thomas Y.",
    journal = "Information and Inference",
    volume = "9",
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    month = "June",
    year = "2020",
    doi = "https://doi.org/10.1093/imaiai/iaz012",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100875,
    title ="A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates",
    author = "Zhang, Zhiwen and Rosakis, Phoebus and Hou, Thomas Y. and Ravichandran, Guruswami",
    journal = "Journal of the Royal Society Interface",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100844,
    title ="Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization",
    author = "Hou, Thomas Y. and Li, Zhenzhen and Zhang, Ziyun",
    journal = "arXiv",
    
    
    
    month = "November",
    year = "2019",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200122-133158689",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100143,
    title ="Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study",
    author = "Luo, Guo and Hou, Thomas Y.",
    journal = "SIAM Review",
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    month = "November",
    year = "2019",
    doi = "https://doi.org/10.1137/19m1288061",
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100852,
    title ="A class of robust numerical methods for solving dynamical systems with multiple time scales",
    author = "Hou, Thomas Y. and Wang, Zhongjian and Zhang, Zhiwen",
    journal = "arXiv",
    
    
    
    month = "September",
    year = "2019",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200122-143531561",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/96584,
    title ="Solving Bayesian inverse problems from the perspective of deep generative networks",
    author = "Hou, Thomas Y. and Lam, Ka Chun and Zhang, Pengchuan and Zhang, Shumao",
    journal = "Computational Mechanics",
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    month = "August",
    year = "2019",
    doi = "https://doi.org/10.1007/s00466-019-01739-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190620-093003600",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97052,
    title ="A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach",
    author = "Hou, Thomas Y. and Ma, Dingjiong and Zhang, Zhiwen",
    journal = "Multiscale Modeling and Simulation",
    volume = "17",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/99835,
    title ="A pseudo knockoff filter for correlated features",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94725,
    title ="A Fast Hierarchically Preconditioned Eigensolver Based on Multiresolution Matrix Decomposition",
    author = "Hou, Thomas Y. and Huang, De and Lam, Ka Chun and Zhang, Ziyun",
    journal = "Multiscale Modeling and Simulation",
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    year = "2019",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190416-073721627",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/74783,
    title ="Potential Singularity for a Family of Models of the Axisymmetric Incompressible Flow",
    author = "Hou, Thomas Y. and Jin, Tianling and Liu, Pengfei",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85641,
    title ="Global regularity for a family of 3D models of the axi-symmetric Navier–Stokes equations",
    author = "Hou, Thomas Y. and Liu, Pengfei and Wang, Fei",
    journal = "Nonlinearity",
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    month = "May",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/87972,
    title ="An Adaptive Fast Solver for a General Class of Positive Definite Matrices Via Energy Decomposition",
    author = "Hou, Thomas Y. and Huang, De and Lam, Ka Chun and Zhang, Pengchuan",
    journal = "Multiscale Modeling and Simulation",
    volume = "16",
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    month = "April",
    year = "2018",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180718-150855095",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83693,
    title ="Sparse operator compression of higher-order elliptic operators with rough coefficients",
    author = "Hou, Thomas Y. and Zhang, Pengchuan",
    journal = "Research in the Mathematical Sciences",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/77284,
    title ="On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations",
    author = "Choi, Kyudong and Hou, Thomas Y. and Kiselev, Alexander and Luo, Guo and Sverak, Vladimir and Yao, Yao",
    journal = "Communications on Pure and Applied Mathematics",
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    month = "November",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/79201,
    title ="A two-level method for sparse time-frequency representation of multiscale data",
    author = "Liu, ChunGuang and Shi, ZuoQiang and Hou, Thomas Yizhao",
    journal = "Science China Mathematics",
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    month = "October",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170719-100127267",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/77020,
    title ="An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients",
    author = "Hou, Thomas Y. and Hwang, Feng-Nan and Liu, Pengfei and Yao, Chien-Chou",
    journal = "Journal of Computational Physics",
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    pages = "375-400",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/76556,
    title ="Exploring the locally low dimensional structure in solving random elliptic PDEs",
    author = "Hou, Thomas Y. and Li, Qin and Zhang, Pengchuan",
    journal = "Multiscale Modeling & Simulation",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/76554,
    title ="A sparse decomposition of low rank symmetric positive semi-definite matrices",
    author = "Hou, Thomas Y. and Li, Qin and Zhang, Pengchuan",
    journal = "Multiscale Modeling and Simulation",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/74288,
    title ="Identification of time-varying cable tension forces based on adaptive sparse time-frequency analysis of cable vibrations",
    author = "Bao, Yuequan and Shi, Zuoqiang and Beck, James L. and Li, Hui and Hou, Thomas Y.",
    journal = "Structural Control and Health Monitoring",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71705,
    title ="An Accelerated Method for Nonlinear Elliptic PDE",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/68668,
    title ="Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods",
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    pages = "69-95",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65370,
    title ="Optimal Local Multi-scale Basis Functions for Linear Elliptic Equations with Rough Coefficient",
    author = "Hou, Thomas Y. and Liu, Pengfei",
    journal = "Discrete and Continuous Dynamical Systems",
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    month = "August",
    year = "2016",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65353,
    title ="Adaptive data analysis: theory and applications",
    author = "Huang, Norden E. and Daubechies, Ingrid and Hou, Thomas Y.",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65355,
    title ="Extracting a shape function for a signal with intra-wave frequency modulation",
    author = "Hou, Thomas Y. and Shi, Zuoqiang",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65354,
    title ="Sparse time-frequency decomposition based on dictionary adaptation",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160315-095503958",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71103,
    title ="A Model Reduction Method for Elliptic PDEs with Random Input Using the Heterogeneous Stochastic FEM Framework",
    author = "Hou, Thomas Y. and Liu, Pengfei and Zhang, Zhiwen",
    journal = "Bulletin of the Intitute of Mathematics Academia Sinica",
    volume = "11",
    number = "1",
    pages = "179-216",
    month = "January",
    year = "2016",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161014-130127343",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78416,
    title ="Stable Self-Similar Profiles for Two 1D Models of the 3D Axisymmetric Euler Equations",
    author = "Hou, Thomas Y. and Liu, Pengfei",
    
    
    
    pages = "1-31",
    month = "January",
    year = "2016",
    doi = "https://doi.org/10.1007/978-3-319-10151-4_17-1",
    isbn = "978-3-319-10151-4",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170621-112302718",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65883,
    title ="On the convergence and accuracy of the cardiovascular intrinsic frequency method",
    author = "Tavallali, Peyman and Hou, Thomas Y. and Rinderknecht, Derek G. and Pahlevan, Niema M.",
    journal = "Royal Society Open Science",
    volume = "2",
    number = "12",
    pages = "Art. No. 150475",
    month = "December",
    year = "2015",
    doi = "https://doi.org/10.1098/rsos.150475",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160404-090937429",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65365,
    title ="On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations",
    author = "Choi, Kyudong and Hou, Thomas Y. and Kiselev, Alexander and Luo, Guo and Sverak, Vladimir and Yao, Yao",
    
    
    
    
    month = "September",
    year = "2015",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160315-123826115",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/61483,
    title ="On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data",
    author = "Liu, Chunguang and Shi, Zuoqiang and Hou, Thomas Y.",
    journal = "Multiscale Modeling and Simulation",
    volume = "13",
    number = "3",
    pages = "790-811",
    month = "July",
    year = "2015",
    doi = "https://doi.org/10.1137/141002098",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20151023-103928257",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65372,
    title ="Sparse Time-Frequency decomposition for multiple signals with same frequencies",
    author = "Hou, Thomas Y. and Shi, Zuoqiang",
    
    
    
    
    month = "July",
    year = "2015",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160315-152129723",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65368,
    title ="Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations",
    author = "Hou, Thomas Y. and Liu, Pengfei",
    
    
    
    
    month = "February",
    year = "2015",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160315-133921211",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/57147,
    title ="A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients",
    author = "Zhang, Zhiwen and Ci, Maolin and Hou, Thomas Y.",
    journal = "Multiscale Modeling and Simulation",
    volume = "13",
    number = "1",
    pages = "173-204",
    month = "January",
    year = "2015",
    doi = "https://doi.org/10.1137/130948136",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150501-105112539",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/53802,
    title ="A heterogeneous stochastic FEM framework for elliptic PDEs",
    author = "Hou, Thomas Y. and Liu, Pengfei",
    journal = "Journal of Computational Physics",
    volume = "281",
    
    pages = "942-969",
    month = "January",
    year = "2015",
    doi = "https://doi.org/10.1016/j.jcp.2014.10.020",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150115-154548810",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/57633,
    title ="Sparse Time Frequency Representations and Dynamical Systems",
    author = "Hou, Thomas Y. and Shi, Zuoqiang and Tavallali, Peyman",
    journal = "Communications in Mathematical Sciences",
    volume = "13",
    number = "3",
    pages = "673-694",
    month = "January",
    year = "2015",
    doi = "https://doi.org/10.4310/CMS.2015.v13.n3.a4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150519-083002339",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/54284,
    title ="Extraction of Intrawave Signals Using the Sparse Time-Frequency Representation Method",
    author = "Tavallali, Peyman and Hou, Thomas Y. and Shi, Zuoqiang",
    journal = "Multiscale Modeling and Simulation",
    volume = "12",
    number = "4",
    pages = "1458-1493",
    month = "October",
    year = "2014",
    doi = "https://doi.org/10.1137/140957767",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150202-093859868",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/48880,
    title ="Potentially singular solutions of the 3D axisymmetric Euler equations",
    author = "Luo, Guo and Hou, Thomas Y.",
    journal = "Proceedings of the National Academy of Sciences of the United States of America",
    volume = "111",
    number = "36",
    pages = "12968-12973",
    month = "September",
    year = "2014",
    doi = "https://doi.org/10.1073/pnas.1405238111",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140825-230506377",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/53563,
    title ="Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient",
    author = "Zhang, Zhiwen and Hu, Xin and Hou, Thomas Y. and Lin, Guang and Yan, Mike",
    journal = "Communications in Computational Physics",
    volume = "16",
    number = "3",
    pages = "571-598",
    month = "September",
    year = "2014",
    doi = "https://doi.org/10.4208/cicp.270913.020414a",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150112-104708436",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/47705,
    title ="Convergence of a data-driven time–frequency analysis method",
    author = "Hou, Thomas Y. and Shi, Zuoqiang and Tavallali, Peyman",
    journal = "Applied and Computational Harmonic Analysis",
    volume = "37",
    number = "2",
    pages = "235-270",
    month = "September",
    year = "2014",
    doi = "https://doi.org/10.1016/j.acha.2013.12.004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140731-103641810",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/48854,
    title ="Intrinsic frequency for a systems approach to haemodynamic waveform analysis with clinical applications",
    author = "Pahlevan, Niema M. and Tavallali, Peyman and Rinderknecht, Derek and Petrasek, Danny and Matthews, Ray V. and Hou, Thomas Y. and Gharib, Morteza",
    journal = "Journal of the Royal Society Interface",
    volume = "11",
    number = "98",
    pages = "Art. No. 20140617 ",
    month = "September",
    year = "2014",
    doi = "https://doi.org/10.1098/​rsif.2014.0617 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140825-134136758",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/45116,
    title ="On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations",
    author = "Hou, Thomas Y. and Lei, Zhen and Luo, Guo and Wang, Shu and Zou, Chen",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "212",
    number = "2",
    pages = "683-706",
    month = "May",
    year = "2014",
    doi = "https://doi.org/10.1007/s00205-013-0717-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140422-134241808",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/54275,
    title ="Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation",
    author = "Luo, Guo and Hou, Thomas Y.",
    journal = "Multiscale Modeling & Simulation",
    volume = "12",
    number = "4",
    pages = "1722-1776",
    month = "April",
    year = "2014",
    doi = "https://doi.org/10.1137/140966411",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150202-082208889",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/44693,
    title ="A Multiscale Model Reduction Method for Partial Differential Equations",
    author = "Ci, Maolin and Hou, Thomas Y. and Shi, Zuoqiang",
    journal = "ESAIM-Mathematical Modelling and Numerical Analysis",
    volume = "48",
    number = "2",
    pages = "449-474",
    month = "March",
    year = "2014",
    doi = "https://doi.org/10.1051/m2an/2013115",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140407-110251743",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/43324,
    title ="Sparse time-frequency representation of nonlinear and nonstationary data",
    author = "Hou, Thomas Yizhao and Shi, Zuoqiang",
    journal = "Science China Mathematics",
    volume = "56",
    number = "12",
    pages = "2489-2506",
    month = "December",
    year = "2013",
    doi = "https://doi.org/10.1007/s11425-013-4733-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140113-074436396",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65369,
    title ="On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations",
    author = "Hou, Thomas Y. and Luo, Guo",
    
    
    
    
    month = "November",
    year = "2013",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160315-134409579",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/41036,
    title ="Generalized multiscale finite element methods (GMsFEM)",
    author = "Efendiev, Yalchin and Galvis, Juan and Hou, Thomas Y.",
    journal = "Journal of Computational Physics",
    volume = "251",
    
    pages = "116-135",
    month = "October",
    year = "2013",
    doi = "https://doi.org/10.1016/j.jcp.2013.04.045   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130830-131942975",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/48819,
    title ="A decadal microwave record of tropical air temperature from AMSU-A/aqua observations",
    author = "Shi, Yuan and Li, King-Fai and Yung, Yuk L. and Aumann, Hartmut H. and Shi, Zuoqiang and Hou, Thomas Y.",
    journal = "Climate Dynamics",
    volume = "41",
    number = "5-6",
    pages = "1385-1405",
    month = "September",
    year = "2013",
    doi = "https://doi.org/10.1007/s00382-013-1696-x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140822-131136037",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/39587,
    title ="Data-driven time–frequency analysis",
    author = "Hou, Thomas Y. and Shi, Zuoqiang",
    journal = "Applied and Computational Harmonic Analysis",
    volume = "35",
    number = "2",
    pages = "284-308",
    month = "September",
    year = "2013",
    doi = "https://doi.org/10.1016/j.acha.2012.10.001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130725-100732399",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/39189,
    title ="A dynamically bi-orthogonal method for time-dependent\r stochastic partial differential equations I: Derivation and\r algorithms",
    author = "Cheng, Mulin and Hou, Thomas Y. and Zhang, Zhiwen",
    journal = "Journal of Computational Physics",
    volume = "242",
    
    pages = "843-868",
    month = "June",
    year = "2013",
    doi = "https://doi.org/10.1016/j.jcp.2013.02.033",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130702-134527463",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/39174,
    title ="A dynamically bi-orthogonal method for time-dependent\r stochastic partial differential equations II: Adaptivity and\r generalizations",
    author = "Cheng, Mulin and Hou, Thomas Y. and Zhang, Zhiwen",
    journal = "Journal of Computational Physics",
    volume = "242",
    
    pages = "753-776",
    month = "June",
    year = "2013",
    doi = "https://doi.org/10.1016/j.jcp.2013.02.020",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130701-154101667",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/36167,
    title ="Multiscale modeling of incompressible turbulent flows",
    author = "Hou, T. Y. and Hu, X. and Hussain, F.",
    journal = "Journal of Computational Physics",
    volume = "232",
    number = "1",
    pages = "383-396",
    month = "January",
    year = "2013",
    doi = "https://doi.org/10.1016/j.jcp.2012.08.029",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130104-102700776",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/37298,
    title ="Numerical simulation of water resources problems: Models, methods, and trends",
    author = "Miller, Cass T. and Dawson, Clint N. and Farthing, Matthew W. and Hou, Thomas Y. and Huang, Jingfang and Kees, Christopher E. and Kelley, C. T. and Langtangen, Hans Petter",
    journal = "Advances in Water Resources",
    volume = "51",
    
    pages = "405-437",
    month = "January",
    year = "2013",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130305-095227632",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/31616,
    title ="On singularity formation of a 3D model for incompressible Navier–Stokes equations",
    author = "Hou, Thomas Y. and Shi, Zuoqiang and Wang, Shu",
    journal = "Advances in Mathematics",
    volume = "230",
    number = "2",
    pages = "607-641",
    month = "June",
    year = "2012",
    doi = "https://doi.org/10.1016/j.aim.2012.02.015",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120523-112912673",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/29846,
    title ="Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model",
    author = "Hou, Thomas Y. and Shi, Zuoqiang",
    journal = "Discrete and Continuous Dynamical Systems",
    volume = "32",
    number = "5",
    pages = "1449-1463",
    month = "May",
    year = "2012",
    doi = "https://doi.org/10.3934/dcds.2012.32.1449   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120326-132813054",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/101080,
    title ="Numerical Analysis of Multiscale Problems",
    author = "Graham, Ivan G. and Hou, Thomas Y. and Lakkis, Omar and Scheichl, Robert",
    
    volume = "83",
    
    
    month = "January",
    year = "2012",
    
    isbn = "978-3-642-22060-9",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200203-134704241",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65367,
    title ="On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity",
    author = "Hou, Thomas Y. and Shi, Zuoqiang and Wang, Shu",
    
    
    
    
    month = "July",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160315-133702384",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/29719,
    title ="Adaptive data analysis via sparse time-frequency representation",
    author = "Hou, Thomas Y. and Shi, Zuoqiang",
    journal = "Advances in Adaptive Data Analysis",
    volume = "3",
    number = "1-2",
    pages = "1-28",
    month = "April",
    year = "2011",
    doi = "https://doi.org/10.1142/S1793536911000647",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120314-131024684",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/89350,
    title ="Introduction",
    author = "Hou, Thomas Y. and Tai, Xue-Cheng",
    journal = "Advances in Adaptive Data Analysis",
    volume = "3",
    number = "1-2",
    pages = "v-vi",
    month = "April",
    year = "2011",
    doi = "https://doi.org/10.1142/S1793536911000672",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180904-093329630",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/22550,
    title ="On Singularity Formation of a Nonlinear Nonlocal System",
    author = "Hou, Thomas Y. and Li, Congming and Shi, Zuoqiang and Wang, Shu and Yu, Xinwei",
    journal = "Archive for Rational Mechanics and Analysis",
    volume = "199",
    number = "1",
    pages = "117-144",
    month = "January",
    year = "2011",
    doi = "https://doi.org/10.1007/s00205-010-0319-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110228-113453092",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/29801,
    title ="Introduction",
    author = "Hou, Thomas Y. and Tai, Xue-Cheng",
    journal = "Advances in Adaptive Data Analysis",
    volume = "3",
    number = "1-2",
    pages = "v-vi",
    month = "January",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120322-080850518",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20397,
    title ="A new multiscale finite element method for high-contrast elliptic interface problems",
    author = "Chu, C.-C. and Graham, I. G. and Hou, T.-Y.",
    journal = "Mathematics of Computation",
    volume = "79",
    number = "272",
    pages = "1915-1955",
    month = "October",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101012-100934632",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/88644,
    title ="Introduction to the Theory of Incompressible Inviscid Flows",
    author = "Hou, Thomas Y. and Yu, Xinwei",
    
    
    number = "13",
    pages = "1-71",
    month = "June",
    year = "2009",
    doi = "https://doi.org/10.1142/9789814273282_0001",
    isbn = "978-981-4273-27-5",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180808-083855888",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/88643,
    title ="Multi-Scale Phenomena in Complex Fluids: Modeling, Analysis and Numerical Simulation",
    author = "Hou, Thomas Y. and Liu, Chun and Liu, Jian-Guo",
    
    
    number = "12",
    
    month = "June",
    year = "2009",
    
    isbn = "978-981-4273-25-1",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180808-083034185",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14443,
    title ="On the Partial Regularity of a 3D Model of the Navier-Stokes Equations",
    author = "Hou, Thomas Y. and Lei, Zhen",
    journal = "Communications in Mathematical Physics",
    volume = "287",
    number = "2",
    pages = "589-612",
    month = "April",
    year = "2009",
    doi = "https://doi.org/10.1007/s00220-008-0689-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090624-105309162",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14326,
    title ="On the stabilizing effect of convection in three-dimensional incompressible flows",
    author = "Hou, Thomas Y. and Lei, Zhen",
    journal = "Communications on Pure and Applied Mathematics",
    volume = "62",
    number = "4",
    pages = "501-564",
    month = "April",
    year = "2009",
    doi = "https://doi.org/10.1002/cpa.20254",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090528-090507806",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/12553,
    title ="Multiscale analysis for convection dominated transport equations",
    author = "Hou, Thomas Y. and Liang, Dong",
    journal = "Discrete and Continuous Dynamical Systems",
    volume = "23",
    number = "1-2",
    pages = "281-298",
    month = "January",
    year = "2009",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUdcds09",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23018,
    title ="Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations  ",
    author = "Hou, Thomas Y.",
    journal = "Acta Numerica",
    volume = "18",
    
    pages = "277-346",
    month = "January",
    year = "2009",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110321-155230291",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/88755,
    title ="Multiscale Finite Element Methods: Theory and Applications",
    author = "Hou, Thomas and Efendiev, Yalchin",
    
    volume = "4",
    
    
    month = "January",
    year = "2009",
    
    isbn = "978-0-387-09495-3",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-134356708",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18758,
    title ="Multiscale computations for flow and transport in porous media",
    author = "Hou, Thomas Y.",
    journal = "unknown",
    
    number = "12",
    pages = "175-285",
    month = "January",
    year = "2009",
    
    isbn = "9789814273268",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100622-112319775",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15179,
    title ="Stable Fourth Order Stream-Function Methods for Incompressible Flows with Boundaries",
    author = "Hou, Thomas Y. and Wetton, Brian R.",
    journal = "Journal of Computational Mathematics",
    volume = "27",
    number = "4",
    pages = "441-458",
    month = "January",
    year = "2009",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090819-164116745",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/13788,
    title ="Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations",
    author = "Hou, Thomas Y. and Shi, Zuoqiang",
    journal = "Journal of Computational Physics",
    volume = "227",
    number = "21",
    pages = "9138-9169",
    month = "November",
    year = "2008",
    doi = "https://doi.org/10.1016/j.jcp.2008.03.002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUjcp08b",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/13608,
    title ="An efficient semi-implicit immersed boundary method\r for the Navier–Stokes equations",
    author = "Hou, T. Y. and Shi, Z.",
    journal = "Journal of Computational Physics",
    volume = "227",
    number = "20",
    pages = "8968-8991",
    month = "October",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUjcp08a",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/16343,
    title ="Global Regularity of the 3D Axi-symmetric\r Navier-Stokes Equations with Anisotropic Data",
    author = "Hou, Thomas Y. and Lei, Zhen and Li, Congming",
    journal = "Communications in Partial Differential Equation",
    volume = "33",
    number = "9",
    pages = "1622-1637",
    month = "September",
    year = "2008",
    doi = "https://doi.org/10.1080/03605300802108057 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20091014-100827184",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/11759,
    title ="Multiscale simulations of porous media flows in flow-based coordinate system",
    author = "Efendiev, Y. and Hou, T. and Strinopoulos, T.",
    journal = "Computational Geosciences",
    volume = "12",
    number = "3",
    pages = "257-272",
    month = "September",
    year = "2008",
    doi = "https://doi.org/10.1007/s10596-007-9073-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:EFEcg08",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/11915,
    title ="Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification",
    author = "Dostert, P. and Efendiev, Y. and Hou, T. Y.",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    volume = "197",
    number = "43-44",
    pages = "3445-3455",
    month = "August",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:DOScmame08",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/11984,
    title ="Multiscale Computations for Flow and Transport in Heterogeneous Media",
    author = "Efendiev, Yalchin and Hou, Thomas Y.",
    
    
    number = "1946",
    pages = "169-248",
    month = "July",
    year = "2008",
    doi = "https://doi.org/10.1007/978-3-540-79574-2_4",
    isbn = "978-3-540-79573-5",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:EFElnm08",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65578,
    title ="Dynamic stability of the three-dimensional axisymmetric Navier-Stokes equations with swirl",
    author = "Hou, Thomas Y. and Li, Congming",
    journal = "Communications on Pure and Applied Mathematics",
    volume = "61",
    number = "5",
    pages = "661-697",
    month = "May",
    year = "2008",
    doi = "https://doi.org/10.1002/cpa.20212",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160322-093035560",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/10548,
    title ="Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier–Stokes Equations",
    author = "Hou, Thomas Y. and Yang, Danping and Ran, Hongyu",
    journal = "Multiscale Modeling and Simulation",
    volume = "6",
    number = "4",
    pages = "1317-1346",
    month = "March",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUmms08",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100935,
    title ="Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations",
    author = "Hou, Thomas Y. and Li, Ruo",
    
    
    number = "3",
    pages = "39-66",
    month = "January",
    year = "2008",
    doi = "https://doi.org/10.1007/978-3-540-68850-1_3",
    isbn = "978-3-540-68848-8",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200127-092428769",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65572,
    title ="Computing nearly singular solutions using pseudo-spectral methods",
    author = "Hou, Thomas Y. and Li, Ruo",
    journal = "Journal of Computational Physics",
    volume = "226",
    number = "1",
    pages = "379-397",
    month = "September",
    year = "2007",
    doi = "https://doi.org/10.1016/j.jcp.2007.04.014",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160322-083351617",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/101841,
    title ="Mathematical modeling and simulation of aquatic and aerial animal locomotion",
    author = "Hou, T. Y. and Stredie, V. G. and Wu, T. Y.",
    journal = "Journal of Computational Physics",
    volume = "225",
    number = "2",
    pages = "1603-1631",
    month = "August",
    year = "2007",
    doi = "https://doi.org/10.1016/j.jcp.2007.02.015",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200310-145803950",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65576,
    title ="Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations",
    author = "Hou, Thomas Y. and Li, Ruo",
    journal = "Discrete and Continuous Dynamical Systems",
    volume = "18",
    number = "4",
    pages = "637-642",
    month = "August",
    year = "2007",
    doi = "https://doi.org/10.3934/dcds.2007.18.637",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160322-091323469",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19675,
    title ="Multiscale finite element methods for porous media flows and their applications",
    author = "Efendiev, Y. and Hou, T. Y.",
    journal = "Applied Numerical Mathematics",
    volume = "57",
    number = "5-7",
    pages = "577-596",
    month = "May",
    year = "2007",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100826-114814124",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9102,
    title ="Organized structures, memory, and the decay of turbulence",
    author = "Hou, Thomas Y.",
    journal = "Proceedings of the National Academy of Sciences of the United States of America",
    volume = "104",
    number = "16",
    pages = "6498-6499",
    month = "April",
    year = "2007",
    doi = "https://doi.org/10.1073/pnas.0700639104",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUpnas07",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/7178,
    title ="Bridging Atomistic/Continuum Scales in Solids with Moving Dislocations",
    author = "Tang, Shao-Qiang and Liu, Wing K. and Karpov, Eduard G. and Hou, Thomas Y.",
    journal = "Chinese Physics Letters",
    volume = "24",
    number = "1",
    pages = "161-164",
    month = "January",
    year = "2007",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:TANcpl07",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/98052,
    title ="A Relay-Zone Technique for Computing Dynamic Dislocations",
    author = "Tang, S. Q. and Liu, W. K. and Karpov, E. G. and Hou, T. Y.",
    
    
    
    pages = "228-228",
    month = "January",
    year = "2007",
    doi = "https://doi.org/10.1007/978-3-540-75999-7_28",
    isbn = "978-3-540-75998-0",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190820-155926497",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/7553,
    title ="A Framework for Modeling Subgrid Effects for Two-Phase Flows in Porous Media",
    author = "Hou, Thomas Y. and Westhead, Andrew and Yang, Danping",
    journal = "Multiscale Modeling & Simulation",
    volume = "5",
    number = "4",
    pages = "1087-1127",
    month = "December",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUmms06",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65575,
    title ="Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations",
    author = "Hou, Thomas Y. and Li, Ruo",
    journal = "Journal of Nonlinear Science",
    volume = "16",
    number = "6",
    pages = "639-664",
    month = "December",
    year = "2006",
    doi = "https://doi.org/10.1007/s00332-006-0800-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160322-090700507",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/6811,
    title ="On Global Well-Posedness of the Lagrangian Averaged Euler Equations",
    author = "Hou, Thomas Y. and Li, Congming",
    journal = "SIAM Journal on Mathematical Analysis",
    volume = "38",
    number = "3",
    pages = "782-794",
    month = "August",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUsiamjma06",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65567,
    title ="Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation",
    author = "Deng, J. and Hou, T. Y. and Li, R. and Yu, X.",
    
    
    
    
    month = "April",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160322-071936317",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9623,
    title ="A 3D Numerical Method for Studying Vortex Formation Behind a Moving Plate",
    author = "Hou, T. Y. and Stredie, V. G. and Wu, T. Y.",
    journal = "Communications in Computational Physics",
    volume = "1",
    number = "2",
    pages = "207-228",
    month = "April",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUccp06",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/75864,
    title ="Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation",
    author = "Deng, Jian and Hou, Thomas Y. and Yu, Xinwei",
    journal = "Communications in Partial Differential Equations",
    volume = "31",
    number = "2",
    pages = "293-306",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1080/03605300500358152",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-133541409",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/23868,
    title ="Multiscale computation of isotropic homogeneous turbulent\r flow",
    author = "Hou, Tom and Yang, Danping and Ran, Hongyu",
    
    
    number = "408",
    pages = "111-135",
    month = "January",
    year = "2006",
    
    isbn = "0-8218-3968-3",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110602-094821767",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/4466,
    title ="Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models",
    author = "Efendiev, Y. and Hou, T. and Luo, W.",
    journal = "SIAM Journal on Scientific Computing",
    volume = "28",
    number = "2",
    pages = "776-803",
    month = "January",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:EFEsiamjsc06",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/76154,
    title ="Multiscale analysis in Lagrangian formulation for the 2-D incompressible Euler equation",
    author = "Hou, Thomas Y. and Yang, Danping and Ran, Hongyu",
    journal = "Discrete and Continuous Dynamical Systems",
    volume = "13",
    number = "5",
    pages = "1153-1186",
    month = "December",
    year = "2005",
    doi = "https://doi.org/10.3934/dcds.2005.13.1153",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-161459048",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85587,
    title ="Multiscale modelling and computation of fluid flow",
    author = "Hou, Thomas Y.",
    journal = "International Journal for Numerical Methods in Fluids",
    volume = "47",
    number = "8-9",
    pages = "707-719",
    month = "March",
    year = "2005",
    doi = "https://doi.org/10.1002/fld.866",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180404-083725024",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65571,
    title ="Geometric Properties and Nonblowup of 3D Incompressible Euler Flow",
    author = "Deng, Jian and Hou, Thomas Y. and Yu, Xinwei",
    journal = "Communications in Partial Differential Equations",
    volume = "30",
    number = "1-2",
    pages = "225-243",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1081/PDE-200044488",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160322-075428588",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/27203,
    title ="A modified particle method for semilinear hyperbolic systems with oscillatory solutions    ",
    author = "Fetecau, R. C. and Hou, T. Y.",
    journal = "Methods and Applications of Analysis",
    volume = "11",
    number = "4",
    pages = "573-604",
    month = "December",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111013-071805594",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/27179,
    title ="Multiscale Finite Element Methods for Nonlinear Problems and their Applications",
    author = "Efendiev, Y. and Hou, T. Y. and Ginting, V.",
    journal = "Communications in Mathematical Sciences",
    volume = "2",
    number = "4",
    pages = "553-589",
    month = "December",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111012-093928630",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/27219,
    title ="Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation\r ",
    author = "Hou, Thomas Y. and Wu, Xiao-Hui and Zhang, Yu",
    journal = "Communications in Mathematical Sciences",
    volume = "2",
    number = "2",
    pages = "185-205",
    month = "June",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111014-070953819",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24952,
    title ="Homogenization of incompressible Euler equations",
    author = "Hou, Thomas Y. and Yang, Dan-ping and Wang, Ke",
    journal = "Journal of Computational Mathematics",
    volume = "22",
    number = "2",
    pages = "220-229",
    month = "March",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110819-082640450",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/3127,
    title ="Singularity formation in three-dimensional vortex sheets",
    author = "Hou, Thomas Y. and Hu, Gang and Zhang, Pingwen",
    journal = "Physics of Fluids",
    volume = "15",
    number = "1",
    pages = "147-172",
    month = "January",
    year = "2003",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUpof03",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/7271,
    title ="A mixed multiscale finite element method for elliptic problems with oscillating coefficients",
    author = "Chen, Zhiming and Hou, Thomas Y.",
    journal = "Mathematics of Computation",
    volume = "72",
    number = "242",
    pages = "541-576",
    month = "June",
    year = "2002",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:CHEmc03",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/101478,
    title ="Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios",
    author = "Aarnes, Jørg and Hou, Thomas Y.",
    journal = "Acta Mathematicae Applicatae Sinica, English Series",
    volume = "18",
    number = "1",
    pages = "63-76",
    month = "March",
    year = "2002",
    doi = "https://doi.org/10.1007/s102550200004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200221-160350446",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/101589,
    title ="Coastal hydrodynamics of ocean waves on beach",
    author = "Zhang, Jin E. and Wu, Theodore Y. and Hou, Thomas Y.",
    journal = "Advances in Applied Mechanics",
    volume = "37",
    
    pages = "89-165",
    month = "January",
    year = "2001",
    doi = "https://doi.org/10.1016/s0065-2156(00)80005-8",
    isbn = "9780120020379",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200226-133732456",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1900,
    title ="The singular perturbation of surface tension in Hele-Shaw flows",
    author = "Ceniceros, Hector D. and Hou, Thomas Y.",
    journal = "Journal of Fluid Mechanics",
    volume = "409",
    
    pages = "251-272",
    month = "April",
    year = "2000",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:CENjfm00",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/856,
    title ="Convergence of a nonconforming multiscale finite element method",
    author = "Efendiev, Yalchin R. and Hou, Thomas Y. and Wu, Xiao-Hui",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "37",
    number = "3",
    pages = "888-910",
    month = "March",
    year = "2000",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:EFEsiam00",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/1917,
    title ="Numerical study of Hele-Shaw flow with suction",
    author = "Ceniceros, Hector D. and Hou, Thomas Y. and Si, Helen",
    journal = "Physics of Fluids",
    volume = "11",
    number = "9",
    pages = "2471-2486",
    month = "September",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:CENpof99",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/7556,
    title ="Dynamic generation of capillary waves",
    author = "Ceniceros, Hector D. and Hou, Thomas Y.",
    journal = "Physics of Fluids",
    volume = "11",
    number = "5",
    pages = "1042-1050",
    month = "May",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:CENpof99a",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/7554,
    title ="Effect of finite computational domain on turbulence scaling law in both physical and spectral spaces",
    author = "Hou, Thomas Y. and Wu, Xiao-Hui and Chen, Shiyi and Zhou, Ye",
    journal = "Physical Review E",
    volume = "58",
    number = "5",
    pages = "5841-5844",
    month = "November",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUpre98",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/760,
    title ="Numerical Study of Free Interface Problems Using Boundary Integral Methods",
    author = "Hou, Thomas Yizhao",
    journal = "Documenta Mathematica",
    volume = "Extra ",
    number = "Volume",
    pages = "601-610",
    month = "January",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUdmicm98",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78863,
    title ="A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media",
    author = "Hou, Thomas Y. and Wu, Xiao-Hui",
    journal = "Journal of Computational Physics",
    volume = "134",
    number = "1",
    pages = "169-189",
    month = "June",
    year = "1997",
    doi = "https://doi.org/10.1006/jcph.1997.5682",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170707-134035089",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9080,
    title ="Convergence of a Boundary Integral Method for Water Waves",
    author = "Beale, J. Thomas and Hou, Thomas Y. and Lowengrub, John",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "33",
    number = "5",
    pages = "1797-1843",
    month = "October",
    year = "1996",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:BEAsiamjna96",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/9081,
    title ="Second-Order Convergence of a Projection Scheme for the Incompressible Navier–Stokes Equations with Boundaries",
    author = "Hou, Thomas Y. and Wetton, Brian T. R.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "30",
    number = "3",
    pages = "609-629",
    month = "June",
    year = "1993",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:HOUsiamjna93",
}