A Practical Guide to Deterministic Particle Methods

DOI10.1016/bs.hna.2016.11.004zbMath1368.65206OpenAlexW2565482624MaRDI QIDQ2988228

Alina E. Chertock

Publication date: 18 May 2017

Published in: Handbook of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/bs.hna.2016.11.004

zbMATH Keywords

convection-diffusion equationlinear transport equationsdispersion equationsdeterministic particle methodsparticle function approximationsremising techniques

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic equations (35L03) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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A Nonlocal Stokes System with Volume Constraints ⋮ Random Batch Particle Methods for the Homogeneous Landau Equation ⋮ Mathematics of smoothed particle hydrodynamics: a study via nonlocal Stokes equations ⋮ A particle method for the homogeneous Landau equation ⋮ opPINN: physics-informed neural network with operator learning to approximate solutions to the Fokker-Planck-Landau equation ⋮ Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits ⋮ Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime ⋮ A blob method for diffusion

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