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Continuous-Time Random Walks for the Numerical Solution of Stochastic Differential Equations
Language: en
Pages: 136
Authors: Nawaf Bou-Rabee
Categories: Mathematics
Type: BOOK - Published: 2019-01-08 - Publisher: American Mathematical Soc.

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This paper introduces time-continuous numerical schemes to simulate stochastic differential equations (SDEs) arising in mathematical finance, population dynamic
Applied Stochastic Differential Equations
Language: en
Pages: 327
Authors: Simo Särkkä
Categories: Business & Economics
Type: BOOK - Published: 2019-05-02 - Publisher: Cambridge University Press

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With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Random Walks in the Quarter-Plane
Language: en
Pages: 169
Authors: Guy Fayolle
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Promoting original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries, the authors use Using Rie
Numerical Solution of Stochastic Differential Equations
Language: en
Pages: 666
Authors: Peter E. Kloeden
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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The numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an eas
Random Walk and the Heat Equation
Language: en
Pages: 170
Authors: Gregory F. Lawler
Categories: Mathematics
Type: BOOK - Published: 2010-11-22 - Publisher: American Mathematical Soc.

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The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an