@other{https://resolver.caltech.edu/CaltechTHESIS:05232024-182937115, title = "Discrete Constrained Willmore Surfaces", year = "2024", url = "https://resolver.caltech.edu/CaltechTHESIS:05232024-182937115", id = "record", doi = "10.7907/ks49-mj38" } @other{https://resolver.caltech.edu/CaltechTHESIS:05232024-182937115, title = "Discrete Constrained Willmore Surfaces", year = "2024", url = "https://resolver.caltech.edu/CaltechTHESIS:05232024-182937115", id = "record", doi = "10.7907/ks49-mj38" } @other{https://resolver.caltech.edu/CaltechTHESIS:06012023-233806562, title = "Numerical Analysis of Folding and Deployment Dynamics of Thin Shell Structures with Localized Folds", year = "2023", url = "https://resolver.caltech.edu/CaltechTHESIS:06012023-233806562", id = "record", doi = "10.7907/gt81-0s18" } @other{https://resolver.caltech.edu/CaltechTHESIS:07072022-003500251, title = {The "Interpolated Factored Green Function" Method}, year = "2023", url = "https://resolver.caltech.edu/CaltechTHESIS:07072022-003500251", id = "record", doi = "10.7907/1cnc-s558" } @other{https://resolver.caltech.edu/CaltechTHESIS:05292023-175108484, title = "On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems", year = "2023", url = "https://resolver.caltech.edu/CaltechTHESIS:05292023-175108484", id = "record", doi = "10.7907/83p4-c644" } @other{https://resolver.caltech.edu/CaltechTHESIS:06012023-194820518, title = "Geometry and Dynamical Systems in Machine Learning and Control", year = "2023", url = "https://resolver.caltech.edu/CaltechTHESIS:06012023-194820518", id = "record", doi = "10.7907/x271-r088" } @other{https://resolver.caltech.edu/CaltechTHESIS:09042020-172204130, title = "Hybrid Frequency-Time Analysis and Numerical Methods for Time-Dependent Wave Propagation", year = "2021", url = "https://resolver.caltech.edu/CaltechTHESIS:09042020-172204130", id = "record", doi = "10.7907/hmv1-r869" } @other{https://resolver.caltech.edu/CaltechTHESIS:09062020-172055989, title = "Learning Patterns with Kernels and Learning Kernels from Patterns", year = "2021", url = "https://resolver.caltech.edu/CaltechTHESIS:09062020-172055989", id = "record", doi = "10.7907/c5fn-ac81" } @other{https://resolver.caltech.edu/CaltechTHESIS:09062020-172055989, title = "Learning Patterns with Kernels and Learning Kernels from Patterns", year = "2021", url = "https://resolver.caltech.edu/CaltechTHESIS:09062020-172055989", id = "record", doi = "10.7907/c5fn-ac81" } @other{https://resolver.caltech.edu/CaltechTHESIS:06082021-005706263, title = "Inference, Computation, and Games", year = "2021", url = "https://resolver.caltech.edu/CaltechTHESIS:06082021-005706263", id = "record", doi = "10.7907/esyv-2181" } @other{https://resolver.caltech.edu/CaltechTHESIS:05222020-162227420, title = "Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration", year = "2020", url = "https://resolver.caltech.edu/CaltechTHESIS:05222020-162227420", id = "record", doi = "10.7907/g2nt-yy27" } @other{https://resolver.caltech.edu/CaltechTHESIS:08252019-170117522, title = "Wave-Scattering by Periodic Media", year = "2020", url = "https://resolver.caltech.edu/CaltechTHESIS:08252019-170117522", id = "record", doi = "10.7907/G7XQ-RT85" } @other{https://resolver.caltech.edu/CaltechTHESIS:06052017-102338732, title = "Fluid Dynamics with Incompressible Schrödinger Flow", year = "2017", url = "https://resolver.caltech.edu/CaltechTHESIS:06052017-102338732", id = "record", doi = "10.7907/Z98050N3" } @other{https://resolver.caltech.edu/CaltechTHESIS:08182016-124629380, title = "Windowed Integral Equation Methods for Problems of Scattering by Defects and Obstacles in Layered Media", year = "2017", url = "https://resolver.caltech.edu/CaltechTHESIS:08182016-124629380", id = "record", doi = "10.7907/Z9GQ6VQT" } @other{https://resolver.caltech.edu/CaltechTHESIS:05312015-134909133, title = "Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids", year = "2015", url = "https://resolver.caltech.edu/CaltechTHESIS:05312015-134909133", id = "record", doi = "10.7907/Z9KK98QG" } @other{https://resolver.caltech.edu/CaltechTHESIS:05222014-134831171, title = "Geometric Discretization through Primal-Dual Meshes", year = "2014", url = "https://resolver.caltech.edu/CaltechTHESIS:05222014-134831171", id = "record", doi = "10.7907/32CA-7376" } @other{https://resolver.caltech.edu/CaltechTHESIS:12052013-121547860, title = "Geometric Elasticity for Graphics, Simulation, and Computation", year = "2014", url = "https://resolver.caltech.edu/CaltechTHESIS:12052013-121547860", id = "record", doi = "10.7907/DF7X-F354" } @other{https://resolver.caltech.edu/CaltechTHESIS:07092012-144406693, title = "GPU-Accelerated Fourier-Continuation Solvers and Physically Exact Computational Boundary Conditions for Wave Scattering Problems", year = "2013", url = "https://resolver.caltech.edu/CaltechTHESIS:07092012-144406693", id = "record", doi = "10.7907/A5ZM-NK18" } @other{https://resolver.caltech.edu/CaltechTHESIS:06052013-020706629, title = "Conformal Geometry Processing", year = "2013", url = "https://resolver.caltech.edu/CaltechTHESIS:06052013-020706629", id = "record", doi = "10.7907/8V9Z-N286" } @other{https://resolver.caltech.edu/CaltechTHESIS:09092011-162631888, title = "Eulerian Geometric Discretizations of Manifolds and Dynamics", year = "2012", url = "https://resolver.caltech.edu/CaltechTHESIS:09092011-162631888", id = "record", doi = "10.7907/5GSC-W341" } @other{https://resolver.caltech.edu/CaltechTHESIS:06082012-153445274, title = "Discrete Differential Form Subdivision and Vector Field Generation over Volumetric Domain", year = "2012", url = "https://resolver.caltech.edu/CaltechTHESIS:06082012-153445274", id = "record", doi = "10.7907/FXF2-4447" } @other{https://resolver.caltech.edu/CaltechTHESIS:11172009-224005473, title = "Geometric Interpretation of Physical Systems for Improved Elasticity Simulations", year = "2010", url = "https://resolver.caltech.edu/CaltechTHESIS:11172009-224005473", id = "record", doi = "10.7907/8ZF3-XN72" } @other{https://resolver.caltech.edu/CaltechETD:etd-08042008-005339, title = "High-Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities", year = "2009", url = "https://resolver.caltech.edu/CaltechETD:etd-08042008-005339", id = "record", doi = "10.7907/VEEB-AV75" } @other{https://resolver.caltech.edu/CaltechETD:etd-12312008-173851, title = "Geometric Discretization of Lagrangian Mechanics and Field Theories", year = "2009", url = "https://resolver.caltech.edu/CaltechETD:etd-12312008-173851", id = "record", doi = "10.7907/K943-VJ44" } @other{https://resolver.caltech.edu/CaltechETD:etd-12312008-173851, title = "Geometric Discretization of Lagrangian Mechanics and Field Theories", year = "2009", url = "https://resolver.caltech.edu/CaltechETD:etd-12312008-173851", id = "record", doi = "10.7907/K943-VJ44" } @other{https://resolver.caltech.edu/CaltechETD:etd-07312008-102751, title = "High-Order Unconditionally-Stable FC-AD PDE Solvers for General Domains", year = "2009", url = "https://resolver.caltech.edu/CaltechETD:etd-07312008-102751", id = "record", doi = "10.7907/3FFW-GK56" } @other{https://resolver.caltech.edu/CaltechETD:etd-05212008-164705, title = "Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator", year = "2008", url = "https://resolver.caltech.edu/CaltechETD:etd-05212008-164705", id = "record", doi = "10.7907/S4S7-8T31" } @other{https://resolver.caltech.edu/CaltechETD:etd-05212008-164705, title = "Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator", year = "2008", url = "https://resolver.caltech.edu/CaltechETD:etd-05212008-164705", id = "record", doi = "10.7907/S4S7-8T31" } @other{https://resolver.caltech.edu/CaltechETD:etd-02282008-112022, title = "A Subdivision Approach to the Construction of Smooth Differential Forms", year = "2008", url = "https://resolver.caltech.edu/CaltechETD:etd-02282008-112022", id = "record", doi = "10.7907/K0DE-9P44" } @other{https://resolver.caltech.edu/CaltechETD:etd-05292007-211950, title = "Structure and Evolution of Martensitic Phase Boundaries", year = "2007", url = "https://resolver.caltech.edu/CaltechETD:etd-05292007-211950", id = "record", doi = "10.7907/89AW-3S87" } @other{https://resolver.caltech.edu/CaltechETD:etd-06022005-174844, title = "Towards More Efficient Interval Analysis: Corner Forms and a Remainder Interval Newton Method", year = "2005", url = "https://resolver.caltech.edu/CaltechETD:etd-06022005-174844", id = "record", doi = "10.7907/C196-9R88" } @other{https://resolver.caltech.edu/CaltechETD:etd-05242005-164959, title = "Approximation of Surfaces by Normal Meshes", year = "2005", url = "https://resolver.caltech.edu/CaltechETD:etd-05242005-164959", id = "record", doi = "10.7907/FVSZ-GF75" } @other{https://resolver.caltech.edu/CaltechETD:etd-05312005-224704, title = "Variational Methods in Surface Parameterization", year = "2005", url = "https://resolver.caltech.edu/CaltechETD:etd-05312005-224704", id = "record", doi = "10.7907/EW4Q-0727" } @other{https://resolver.caltech.edu/CaltechETD:etd-06022005-174844, title = "Towards More Efficient Interval Analysis: Corner Forms and a Remainder Interval Newton Method", year = "2005", url = "https://resolver.caltech.edu/CaltechETD:etd-06022005-174844", id = "record", doi = "10.7907/C196-9R88" } @other{https://resolver.caltech.edu/CaltechETD:etd-05272004-003252, title = "3-D Interfaces for Spatial Construction", year = "2004", url = "https://resolver.caltech.edu/CaltechETD:etd-05272004-003252", id = "record", doi = "10.7907/8VWJ-TX38" } @other{https://resolver.caltech.edu/CaltechETD:etd-06072004-161416, title = "Variational Integrators", year = "2004", url = "https://resolver.caltech.edu/CaltechETD:etd-06072004-161416", id = "record", doi = "10.7907/CMZ1-RQ16" } @other{https://resolver.caltech.edu/CaltechETD:etd-06072004-161416, title = "Variational Integrators", year = "2004", url = "https://resolver.caltech.edu/CaltechETD:etd-06072004-161416", id = "record", doi = "10.7907/CMZ1-RQ16" } @other{https://resolver.caltech.edu/CaltechETD:etd-05282004-085345, title = "Discrete Differential Operators for Computer Graphics", year = "2004", url = "https://resolver.caltech.edu/CaltechETD:etd-05282004-085345", id = "record", doi = "10.7907/M3NP-4G18" } @other{https://resolver.caltech.edu/CaltechETD:etd-05282004-085345, title = "Discrete Differential Operators for Computer Graphics", year = "2004", url = "https://resolver.caltech.edu/CaltechETD:etd-05282004-085345", id = "record", doi = "10.7907/M3NP-4G18" } @other{https://resolver.caltech.edu/CaltechETD:etd-05202003-095403, title = "Discrete Exterior Calculus", year = "2003", url = "https://resolver.caltech.edu/CaltechETD:etd-05202003-095403", id = "record", doi = "10.7907/ZHY8-V329" } @other{https://resolver.caltech.edu/CaltechETD:etd-05302003-161403, title = "Computational Topology Algorithms for Discrete 2-Manifolds", year = "2003", url = "https://resolver.caltech.edu/CaltechETD:etd-05302003-161403", id = "record", doi = "10.7907/BQT9-SS34" } @other{https://resolver.caltech.edu/CaltechETD:etd-05312003-133558, title = "The Basis Refinement Method", year = "2003", url = "https://resolver.caltech.edu/CaltechETD:etd-05312003-133558", id = "record", doi = "10.7907/QH6Z-0276" } @other{https://resolver.caltech.edu/CaltechETD:etd-05202003-170423, title = "Efficient Algorithms for Solving Static Hamilton-Jacobi Equations", year = "2003", url = "https://resolver.caltech.edu/CaltechETD:etd-05202003-170423", id = "record", doi = "10.7907/5R5P-Y603" } @other{https://resolver.caltech.edu/CaltechETD:etd-05202003-095403, title = "Discrete Exterior Calculus", year = "2003", url = "https://resolver.caltech.edu/CaltechETD:etd-05202003-095403", id = "record", doi = "10.7907/ZHY8-V329" } @other{https://resolver.caltech.edu/CaltechTHESIS:08272010-091235772, title = "Mathematical Methods for Image Synthesis", year = "2002", url = "https://resolver.caltech.edu/CaltechTHESIS:08272010-091235772", id = "record", doi = "10.7907/WDPH-N912" } @other{https://resolver.caltech.edu/CaltechTHESIS:08272010-091235772, title = "Mathematical Methods for Image Synthesis", year = "2002", url = "https://resolver.caltech.edu/CaltechTHESIS:08272010-091235772", id = "record", doi = "10.7907/WDPH-N912" } @other{https://resolver.caltech.edu/CaltechETD:etd-01232008-111520, title = "Analysis of scalable algorithms for dynamic load balancing and mapping with application to photo-realistic rendering", year = "1998", url = "https://resolver.caltech.edu/CaltechETD:etd-01232008-111520", id = "record", doi = "10.7907/ZVYW-H876" } @other{https://resolver.caltech.edu/CaltechETD:etd-01232008-111520, title = "Analysis of scalable algorithms for dynamic load balancing and mapping with application to photo-realistic rendering", year = "1998", url = "https://resolver.caltech.edu/CaltechETD:etd-01232008-111520", id = "record", doi = "10.7907/ZVYW-H876" } @other{https://resolver.caltech.edu/CaltechETD:etd-01042008-085720, title = "A parallel programming model with sequential semantics", year = "1996", url = "https://resolver.caltech.edu/CaltechETD:etd-01042008-085720", id = "record", doi = "10.7907/mytw-er77" } @other{https://resolver.caltech.edu/CaltechETD:etd-01042008-085720, title = "A parallel programming model with sequential semantics", year = "1996", url = "https://resolver.caltech.edu/CaltechETD:etd-01042008-085720", id = "record", doi = "10.7907/mytw-er77" }