Li, Zongyi; Kovachki, Nikola et al. (2020) Multipole Graph Neural Operator for Parametric Partial Differential Equations Advances in Neural Information Processing Systems 33 pre-proceedings (NeurIPS 2020); arXiv; 34th Conference on Neural Information Processing Systems (NeurIPS 2020), 6-12 December 2020 , [Online Only]

Dashti, Masoumeh; Stuart, Andrew M. (2017) The Bayesian Approach to Inverse Problems Handbook of Uncertainty Quantification;

Pavliotis, Grigorios A.; Pokern, Yvo et al. (2012) Parameter estimation for multiscale diffusions: an overview Statistical Methods for Stochastic Differential Equations; Séminaire Européen de Statistique on “Statistics for Stochastic Differential Equations Models”, May 7-12, 2007 , Cartagena, Spain

Hairer, M.; Stuart, A. M. et al. (2011) Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods The Oxford Handbook of Nonlinear Filtering;

Nolen, James; Pavliotis, Grigorios A. et al. (2011) Multiscale modelling and inverse problems Numerical Analysis of Multiscale Problems; Series.Lecture Notes in Computational Science and Engineering; No. 83;

Beskos, Alexandros; Stuart, Andrew (2009) MCMC methods for sampling function space Sixth International Congress on Industrial and Applied Mathematics; Series.EMS Monographs in Mathematics; 6th International Congress on Industrial and Applied Mathematics, 16-20 July 2007 , Zürich, Switzerland

Hairer, Martin; Stuart, Andrew et al. (2009) Sampling conditioned diffusions Trends in Stochastic Analysis; Series.London Mathematical Society lecture note series; No. 353;

Beskos, Alexandros; Stuart, Andrew (2009) Computational Complexity of Metropolis-Hastings Methods in High Dimensions Monte Carlo and Quasi-Monte Carlo Methods 2008; Monte Carlo and Quasi-Monte Carlo Methods 2008, July 2008 , Montreal, Quebec

White, David; Stuart, Andrew (2009) Green’s Functions by Monte Carlo Monte Carlo and Quasi-Monte Carlo Methods 2008; Eighth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, July 6-11, 2008 , Montreal, Canada

Pavliotis, G. A.; Stuart, A. M. et al. (2006) Monte Carlo Studies of Effective Diffusivities for Inertial Particles Monte Carlo and Quasi-Monte Carlo Methods 2004; Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, 7–10 June 2004 , Juan-les-Pins, France

Humphries, A. R.; Stuart, A. M. (2002) Deterministic and random dynamical systems: theory and numerics Modern Methods in Scientific Computing and Applications; Series.NATO Science Series; No. 75;

Sigurgeirsson, Hersir; Stuart, A. M. (2001) Statistics From Computations Foundations of Computational Mathematics; Series.London Mathematical Society lecture note series; No. 284;

Lamba, Harbir; Stuart, Andrew (2000) Convergence Proofs for Numerical IVP Software Dynamics of Algorithms; Series.IMA Volumes in Mathematics and its Applications; No. 118;

Stuart, Andrew (1997) Convergence and stability in the numerical approximation of dynamical systems The State of the Art in Numerical Analysis; Conference on the State of the Art in Numerical Analysis, April 1996 , University of York, England

Stuart, Andrew (1995) Perturbation Theory for Infinite Dimensional Dynamical Systems Theory and Numerics of Ordinary and Partial Differential Equations; Series.Advances in Numerical Analysis; No. 4;

Humphries, A. R.; Jones, D. A. et al. (1994) Approximation of dissipative partial differential equations over long time intervals Numerical Analysis 1993; Series.Pitman Research Notes in Mathematics Series ; No. 303; 15th Dundee Conference on Numerical Analysis, June-July, 1993 , Dundee, Scotalnd

Stuart, Andrew (1990) The Global Attractor Under Discretisation Continuation and Bifurcations: Numerical Techniques and Applications; Series.NATO ASI Series; No. 313;

Stuart, A. M. (1988) The Mathematics of Porous Medium Combustion Nonlinear Diffusion Equations and Their Equilibrium States II; Series.Mathematical Sciences Research Institute publications ; No. 13; Nonlinear Diffusion Equations and Their Equilibrium States II, August 25-September 12, 1986 , Berkeley, CA