Stuart, Andrew

Book Chapter from CaltechAUTHORS

• Li, Zongyi and Kovachki, Nikola, el al. (2020) Multipole Graph Neural Operator for Parametric Partial Differential Equations; 10.48550/arXiv.2006.09535
• Dashti, Masoumeh and Stuart, Andrew M. (2017) The Bayesian Approach to Inverse Problems; ISBN 978-3-319-12384-4; Handbook of Uncertainty Quantification; 311-428; 10.1007/978-3-319-12385-1_7
• Pavliotis, Grigorios A. and Pokern, Yvo, el al. (2012) Parameter estimation for multiscale diffusions: an overview; ISBN 978-1-4398-4940-8; Statistical Methods for Stochastic Differential Equations; 429-472; 10.1201/b12126-8
• Hairer, M. and Stuart, A. M., el al. (2011) Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods; ISBN 9780199532902; The Oxford Handbook of Nonlinear Filtering; 833-873
• Nolen, James and Pavliotis, Grigorios A., el al. (2011) Multiscale modelling and inverse problems; ISBN 978-3-642-22061-6; Numerical Analysis of Multiscale Problems; 1-34; 10.1007/978-3-642-22061-6_1
• Beskos, Alexandros and Stuart, Andrew (2009) MCMC methods for sampling function space; ISBN 978-3-03719-056-2; Sixth International Congress on Industrial and Applied Mathematics; 337-364; 10.4171/056-1/16
• Hairer, Martin and Stuart, Andrew, el al. (2009) Sampling conditioned diffusions; ISBN 9781139107020; Trends in Stochastic Analysis; 159-186; 10.1017/CBO9781139107020.009
• Beskos, Alexandros and Stuart, Andrew (2009) Computational Complexity of Metropolis-Hastings Methods in High Dimensions; ISBN 978-3-642-04106-8; Monte Carlo and Quasi-Monte Carlo Methods 2008; 61-71; 10.1007/978-3-642-04107-5_4
• White, David and Stuart, Andrew (2009) Green's Functions by Monte Carlo; ISBN 978-3-642-04106-8; Monte Carlo and Quasi-Monte Carlo Methods 2008; 627-636; 10.1007/978-3-642-04107-5_41
• Pavliotis, G. A. and Stuart, A. M., el al. (2006) Monte Carlo Studies of Effective Diffusivities for Inertial Particles; ISBN 978-3-540-25541-3; Monte Carlo and Quasi-Monte Carlo Methods 2004; 431-441; 10.1007/3-540-31186-6_26
• Humphries, A. R. and Stuart, A. M. (2002) Deterministic and random dynamical systems: theory and numerics; ISBN 978-1-4020-0782-8; Modern Methods in Scientific Computing and Applications; 211-254; 10.1007/978-94-010-0510-4_6
• Sigurgeirsson, Hersir and Stuart, A. M. (2001) Statistics From Computations; ISBN 978-0-521-00349-0; Foundations of Computational Mathematics; 323-344
• Lamba, Harbir and Stuart, Andrew (2000) Convergence Proofs for Numerical IVP Software; ISBN 9781461270737; Dynamics of Algorithms; 107-125; 10.1007/978-1-4612-1274-4_6
• Stuart, Andrew (1997) Convergence and stability in the numerical approximation of dynamical systems; ISBN 9780198500148; The State of the Art in Numerical Analysis; 145-169
• Stuart, Andrew (1995) Perturbation Theory for Infinite Dimensional Dynamical Systems; ISBN 978-0198511939; Theory and Numerics of Ordinary and Partial Differential Equations; 181-290
• Humphries, A. R. and Jones, D. A., el al. (1994) Approximation of dissipative partial differential equations over long time intervals; ISBN 9780582225688; Numerical Analysis 1993; 180-207
• Stuart, Andrew (1990) The Global Attractor Under Discretisation; ISBN 978-94-010-6781-2; Continuation and Bifurcations: Numerical Techniques and Applications; 211-225; 10.1007/978-94-009-0659-4_14
• Stuart, A. M. (1988) The Mathematics of Porous Medium Combustion; ISBN 978-1-4613-9610-9; Nonlinear Diffusion Equations and Their Equilibrium States II; 295-313; 10.1007/978-1-4613-9608-6_18