Random walk on spheres method for solving anisotropic transient diffusion problems and flux calculations

DOI10.1515/mcma-2023-2022OpenAlexW4388658229MaRDI QIDQ6123188

K. K. Sabel'fel'd, Irina A. Shalimova

Publication date: 4 March 2024

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mcma-2023-2022

zbMATH Keywords

random walk on spheresexcitonsreciprocity relationanisotropic diffusion equationexciton's fluxesthreading dislocation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical analysis or methods applied to Markov chains (65C40) Applications to the sciences (65Z05)

Cites Work

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• Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems
• Spherical and Plane Integral Operators for PDEs
• Some Continuous Monte Carlo Methods for the Dirichlet Problem
• The Series Method for Random Variate Generation and Its Application to the Kolmogorov-Smirnov Distribution
• Monte Carlo Methods for Calculating Some Physical Properties of Large Molecules
• The Floating Random Walk and Its Application to Monte Carlo Solutions of Heat Equations

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