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Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications - Hardcover
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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:IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography
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Karl K. Sabelfeld, Novosibirsk State University, Russia;Nikolai A. Simonov, Novosibirsk State University, Russia.
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Stochastic Methods for Boundary Value Problems
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De Gruyter, De Gruyter Sep 2016, 2016
ISBN 10: 3110479060
ISBN 13: 9783110479065
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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:IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography 208 pp. Englisch. Bestandsnummer des Verkäufers 9783110479065
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book will be of great interest to any researcher who works in the eld of numerical solution of PDEs and integral equations. Nikolaos Halidias in: Mathematical Review Clippings MR3676590 (2018)Karl K. Sabelfeld. Bestandsnummer des Verkäufers 123619389
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Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
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Stochastic Methods for Boundary Value Problems
Verlag:
De Gruyter, De Gruyter Sep 2016, 2016
ISBN 10: 3110479060
ISBN 13: 9783110479065
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Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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:IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron¿hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliographyWalter de Gruyter, Genthiner Straße 13, 10785 Berlin 208 pp. Englisch. Bestandsnummer des Verkäufers 9783110479065
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Stochastic Methods for Boundary Value Problems : Numerics for High-dimensional PDEs and Applications
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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:IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography. Bestandsnummer des Verkäufers 9783110479065
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Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
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Hardback. Zustand: New. 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:IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography. Bestandsnummer des Verkäufers LU-9783110479065
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Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
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