(orcid 0000-0001-9091-7266)
Li, Zongyi; Kovachki, Nikola et al. (2020) Multipole Graph Neural Operator for Parametric Partial Differential Equations In: Advances in Neural Information Processing Systems 33 pre-proceedings (NeurIPS 2020); arXiv; In: 34th Conference on Neural Information Processing Systems (NeurIPS 2020), 6-12 December 2020, [Online Only] https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366
Dashti, Masoumeh; Stuart, Andrew M. (2017) The Bayesian Approach to Inverse Problems In: Handbook of Uncertainty Quantification; https://doi.org/10.1007/978-3-319-12385-1_7
Pavliotis, Grigorios A.; Pokern, Yvo et al. (2012) Parameter estimation for multiscale diffusions: an overview In: Statistical Methods for Stochastic Differential Equations; In: Séminaire Européen de Statistique on “Statistics for Stochastic Differential Equations Models”, May 7-12, 2007, Cartagena, Spain https://doi.org/10.1201/b12126-8
Hairer, M.; Stuart, A. M. et al. (2011) Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods In: The Oxford Handbook of Nonlinear Filtering; https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824
Nolen, James; Pavliotis, Grigorios A. et al. (2011) Multiscale modelling and inverse problems In: Numerical Analysis of Multiscale Problems; Series Lecture Notes in Computational Science and Engineering; No. 83; https://doi.org/10.1007/978-3-642-22061-6_1
Beskos, Alexandros; Stuart, Andrew (2009) MCMC methods for sampling function space In: Sixth International Congress on Industrial and Applied Mathematics; Series EMS Monographs in Mathematics; In: 6th International Congress on Industrial and Applied Mathematics, 16-20 July 2007, Zürich, Switzerland https://doi.org/10.4171/056-1/16
Hairer, Martin; Stuart, Andrew et al. (2009) Sampling conditioned diffusions In: Trends in Stochastic Analysis; Series London Mathematical Society lecture note series; No. 353; https://doi.org/10.1017/CBO9781139107020.009
Beskos, Alexandros; Stuart, Andrew (2009) Computational Complexity of Metropolis-Hastings Methods in High Dimensions In: Monte Carlo and Quasi-Monte Carlo Methods 2008; In: Monte Carlo and Quasi-Monte Carlo Methods 2008, July 2008, Montreal, Quebec https://doi.org/10.1007/978-3-642-04107-5_4
White, David; Stuart, Andrew (2009) Green’s Functions by Monte Carlo In: Monte Carlo and Quasi-Monte Carlo Methods 2008; In: Eighth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, July 6-11, 2008, Montreal, Canada https://doi.org/10.1007/978-3-642-04107-5_41
Pavliotis, G. A.; Stuart, A. M. et al. (2006) Monte Carlo Studies of Effective Diffusivities for Inertial Particles In: Monte Carlo and Quasi-Monte Carlo Methods 2004; In: Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, 7–10 June 2004, Juan-les-Pins, France https://doi.org/10.1007/3-540-31186-6_26
Humphries, A. R.; Stuart, A. M. (2002) Deterministic and random dynamical systems: theory and numerics In: Modern Methods in Scientific Computing and Applications; Series NATO Science Series; No. 75; https://doi.org/10.1007/978-94-010-0510-4_6
Sigurgeirsson, Hersir; Stuart, A. M. (2001) Statistics From Computations In: Foundations of Computational Mathematics; Series London Mathematical Society lecture note series; No. 284; https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784
Lamba, Harbir; Stuart, Andrew (2000) Convergence Proofs for Numerical IVP Software In: Dynamics of Algorithms; Series IMA Volumes in Mathematics and its Applications; No. 118; https://doi.org/10.1007/978-1-4612-1274-4_6
Stuart, Andrew (1997) Convergence and stability in the numerical approximation of dynamical systems In: The State of the Art in Numerical Analysis; In: Conference on the State of the Art in Numerical Analysis, April 1996, University of York, England https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199
Stuart, Andrew (1995) Perturbation Theory for Infinite Dimensional Dynamical Systems In: Theory and Numerics of Ordinary and Partial Differential Equations; Series Advances in Numerical Analysis; No. 4; https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018
Humphries, A. R.; Jones, D. A. et al. (1994) Approximation of dissipative partial differential equations over long time intervals In: Numerical Analysis 1993; Series Pitman Research Notes in Mathematics Series ; No. 303; In: 15th Dundee Conference on Numerical Analysis, June-July, 1993, Dundee, Scotalnd https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052
Stuart, Andrew (1990) The Global Attractor Under Discretisation In: Continuation and Bifurcations: Numerical Techniques and Applications; Series NATO ASI Series; No. 313; https://doi.org/10.1007/978-94-009-0659-4_14
Stuart, A. M. (1988) The Mathematics of Porous Medium Combustion In: Nonlinear Diffusion Equations and Their Equilibrium States II; Series Mathematical Sciences Research Institute publications ; No. 13; In: Nonlinear Diffusion Equations and Their Equilibrium States II, August 25-September 12, 1986, Berkeley, CA https://doi.org/10.1007/978-1-4613-9608-6_18