A stochastic particle method for some one-dimensional nonlinear p.d.e

DOI10.1016/0378-4754(93)E0065-DzbMath0824.60067OpenAlexW2064319033MaRDI QIDQ1897656

Mireille Bossy, Denis Talay

Publication date: 6 November 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(93)e0065-d

zbMATH Keywords

convergenceapproximationnonlinear partial differential equationsstochastic particle algorithmcomputation of the cumulative distribution function

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

A probabilistic algorithm approximating solutions of a singular PDE of porous media type ⋮ Particle system algorithm and chaos propagation related to non-conservative McKean type stochastic differential equations

Cites Work

• A propagation of chaos result for a system of particles with moderate interaction
• Monte Carlo simulation of nonlinear diffusion processes
• Monte Carlo simulation of nonlinear diffusion processes. II
• Convergence of a Random Walk Method for the Burgers Equation
• A Study of the Vortex Sheet Method and its Rate of Convergence
• Convergence of a Random Particle Method to Solutions of the Kolmogorov Equation u t = νu xx + u(1 - u)
• On the McKean-Vlasov Limit for Interacting Diffusions
• Convergence of Random Methods for a Reaction-Diffusion Equation
• Rate of Convegence of a Stochastic Particle Method for the Kolmogorov Equation with Variable Coefficients
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