- Li, Zongyi; Kovachki, Nikola; et el. (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; Springer: Cham, Switzerland;
311-428; 10.1007/978-3-319-12385-1_7
- Pavliotis, Grigorios A.; Pokern, Yvo; et el. (2012) Parameter
estimation for multiscale diffusions: an overview; ISBN
978-1-4398-4940-8; Statistical Methods for Stochastic Differential
Equations; Chapman and Hall/CRC: Boca Raton, FL; 429-472; 10.1201/b12126-8
- Hairer, M.; Stuart, A. M.; et el. (2011) Signal
processing problems on function space: Bayesian formulation, stochastic
PDEs and effective MCMC methods; ISBN 9780199532902; The Oxford
Handbook of Nonlinear Filtering; Oxford University Press: Oxford, UK;
833-873
- Nolen, James; Pavliotis, Grigorios A.; et el. (2011) Multiscale
modelling and inverse problems; ISBN 978-3-642-22061-6; Numerical
Analysis of Multiscale Problems; Springer-Verlag: Berlin; 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; European
Mathematical Society: Zurich; 337-364; 10.4171/056-1/16
- Hairer, Martin; Stuart, Andrew; et el. (2009) Sampling
conditioned diffusions; ISBN 9781139107020; Trends in Stochastic
Analysis; Cambridge University Press: Cambridge; 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;
Springer: New York; 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; Springer: Berlin; 627-636; 10.1007/978-3-642-04107-5_41
- Pavliotis, G. A.; Stuart, A. M.; et el. (2006) Monte
Carlo Studies of Effective Diffusivities for Inertial Particles;
ISBN 978-3-540-25541-3; Monte Carlo and Quasi-Monte Carlo Methods 2004;
Springer: New York, NY; 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; Springer: Dordrecht; 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; Cambridge University Press: New York, NY;
323-344
- Lamba, Harbir and Stuart, Andrew (2000) Convergence
Proofs for Numerical IVP Software; ISBN 9781461270737; Dynamics of
Algorithms; Springer: New York, NY; 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; Oxford
University Press: Oxford; 145-169
- Stuart, Andrew (1995) Perturbation
Theory for Infinite Dimensional Dynamical Systems; ISBN
978-0198511939; Theory and Numerics of Ordinary and Partial Differential
Equations; Oxford University Press: Oxford; 181-290
- Humphries, A. R.; Jones, D. A.; et el. (1994) Approximation
of dissipative partial differential equations over long time
intervals; ISBN 9780582225688; Numerical Analysis 1993; Longman
Scientific & Technical; 180-207
- Stuart, Andrew (1990) The
Global Attractor Under Discretisation; ISBN 978-94-010-6781-2;
Continuation and Bifurcations: Numerical Techniques and Applications;
Springer Netherlands: Dordrecht; 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; Springer:
New York, NY; 295-313; 10.1007/978-1-4613-9608-6_18