A particle method and numerical study of a quasilinear partial differential equation

DOI10.3934/cpaa.2011.10.1503zbMath1269.65091OpenAlexW2889269657MaRDI QIDQ652055

Roberto Camassa, W.-H. Sheu, Pao-Hsiung Chiu, Long Lee

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1503

zbMATH Keywords

algorithmintegro-differential equationsregularizationnumerical examplesHelmholtz operatoradvection equationparticle methodfast summation algorithmHopf equationquasilinear partial differential equationinviscid Burgersmethod of charasteristics

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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