Stochastic Methods for Boundary Value Problems

Zusatztext

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. Contents: Introduction Random walk algorithms for solving integral equations Random walkonboundary algorithms for the Laplace equation Walkonboundary algorithms for the heat equation Spatial problems of elasticity Variants of the random walk on boundary for solving stationary potential problems Splitting and survival probabilities in random walk methods and applications A random WOSbased KMC method for electronhole recombinations Monte Carlo methods for computing macromolecules properties and solving related problems Bibliography

Autorenportrait

Karl K. Sabelfeld, Novosibirsk State University, Russia; Nikolai A. Simonov, Novosibirsk State University, Russia.

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