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Stochastic Numerics for Mathematical Physics

Name: Stochastic Numerics for Mathematical Physics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01559105
Price: 215.79 EUR
Availability: InStock
Author: G. Milstein
ISBN: 9783540211105

G. Milstein

M. V. Tretyakov

Language

English

Book Hardback

Libristo code: 01559105

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, May 2004

Stochastic differential equations have many applications in the natural sciences. Besides, the emplo... Full description

Libristo code: 01559105

528 b

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Stochastic differential equations have many applications in the natural sciences. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce solution of multi-dimensional problems for partial differential equations to integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. The authors propose many new special schemes, some published here for the first time. In the second part of the book they construct numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, physics, chemistry, and engineering as well as mathematical biology and financial mathematics.