TY  - BOOK
AU  - Lord,Gabriel J.
AU  - Powell,Catherine E.
AU  - Shardlow,Tony
TI  - An Introduction to Computational Stochastic PDEs
T2  - Cambridge Texts in Applied Mathematics
SN  - 9781139017329 (ebook)
AV  - QA274.25 .L67 2014
U1  - 519.2/2 23
PY  - 2014///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Stochastic partial differential equations
N1  - Title from publisher's bibliographic system (viewed on 07 Mar 2017)
N2  - This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi-level Monte Carlo method. Later chapters apply the theory of random fields to the numerical solution of elliptic PDEs with correlated random data, discuss the Monte Carlo method, and introduce stochastic Galerkin finite-element methods. Finally, stochastic parabolic PDEs are developed. Assuming little previous exposure to probability and statistics, theory is developed in tandem with state-of-the-art computational methods through worked examples, exercises, theorems and proofs. The set of MATLAB codes included (and downloadable) allows readers to perform computations themselves and solve the test problems discussed. Practical examples are drawn from finance, mathematical biology, neuroscience, fluid flow modelling and materials science
UR  - https://eresourcesptsl.ukm.remotexs.co/user/login?url=https://doi.org/10.1017/CBO9781139017329
ER  -