Stochastic Methods for Boundary Value Problems Numerics for High-dimensional PDEs and Applications

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Karl K. Sabelfeld, "Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications"
English | ISBN: 3110479060 | 2016 | 208 pages | EPUB | 33 MB
This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach.

The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics.
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