[PDF.83hv] Taylor Approximations for Stochastic Partial Differential Equations (CBMS-NSF Regional Conference Series in Applied Mathematics)

Taylor Approximations for Stochastic Partial Differential Equations (CBMS-NSF Regional Conference Series in Applied Mathematics)

[PDF.ok55] Taylor Approximations for Stochastic Partial Differential Equations (CBMS-NSF Regional Conference Series in Applied Mathematics)

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 | #4106641 in Books |  2011-11-18 | Original language:English | PDF # 1 |  9.72 x.51 x6.85l,.85 | File type: PDF | 234 pages

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||About the Author|Arnulf Jentzen is appointed as a Visiting Fellow in the Department of Applied and Computational Mathematics at Princeton University. His research focuses on analytical and numerical aspects of stochastic differential equations with non-globally

This book presents a systematic theory of Taylor expansions of evolutionary-type stochastic partial differential equations (SPDEs). The authors show how Taylor expansions can be used to derive higher order numerical methods for SPDEs, with a focus on pathwise and strong convergence.

In the case of multiplicative noise, the driving noise process is assumed to be a cylindrical Wiener process, while in the case of additive noise the SPDE is assumed to be driven by an...

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