On the numerical solution to a nonlinear wave equation associated with the first Painlevé equation: an operator-splitting approach
DOI10.1007/s11401-013-0764-1zbMath1268.65112OpenAlexW2134748817MaRDI QIDQ1951207
Annalisa Quaini, Roland Glowinski
Publication date: 29 May 2013
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-013-0764-1
finite difference methodPainlevé equationnumerical experimentsnonlinear wave equationblow-up solutionsemidiscretizationoperator-splittingGalerkin/finite element space approximation
Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Uses Software
Cites Work
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