Stochastic algorithm for solving transient diffusion equations with a precise accounting of reflection boundary conditions on a substrate surface-Reference-Cited by-同舟云学术

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Stochastic algorithm for solving transient diffusion equations with a precise accounting of reflection boundary conditions on a substrate surface

Published:2019-10 Issue: Volume:96 Page:187-194
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Karl Sabelfeld

Funder

Russian Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference20 articles.

1. Diffusion Processes and Their Sample Paths;Ito,1965

2. Random Processes for Classical Equations of Mathematical Physics;Ermakov,1989

3. Monte Carlo Methods in Boundary Value Problems;Sabelfeld,1991

4. Stochastic Methods for Boundary Value Problems. Numerics for High-Imensional PDEs and Applications;Sabelfeld,2016

5. The floating random walk and its application to Monte Carlo solutions of heat equations;Haji-Sheikh;SIAM J. Appl. Math.,1966

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1. Coupled stochastic systems of Skorokhod type: Well‐posedness of a mathematical model and its applications;Mathematical Methods in the Applied Sciences;2022-12-29

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