Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics

DOI10.1051/m2an/2010050zbMath1204.82020OpenAlexW2112417612MaRDI QIDQ4933352

Sylvain Maire, Mireille Bossy, Denis Talay, Nicolas Champagnat

Publication date: 12 October 2010

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44670

zbMATH Keywords

Poisson-Boltzmann equationdivergence form operatorFeyman-Kac formularandom walk on sphere

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Monte Carlo methods (65C05) PDEs in connection with optics and electromagnetic theory (35Q60) Biochemistry, molecular biology (92C40) Diffusion processes (60J60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

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Uses Software

• APBS

Cites Work

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