On the numerical solution to a nonlinear wave equation associated with the first Painlevé equation: an operator-splitting approach
type: Item
instance of: scholarly article
title: On the numerical solution to a nonlinear wave equation associated with the first Painlevé equation: an operator-splitting approach
zbMATH Open document ID: 1268.65112
author: Annalisa Quaini
author: Roland Glowinski
published in: Chinese Annals of Mathematics. Series B
publication date: 2013-05-29T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 6168086
zbMATH Keywords: Painlevé equation
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: blow-up solution
zbMATH Keywords: operator-splitting
zbMATH Keywords: finite difference method
zbMATH Keywords: semidiscretization
zbMATH Keywords: Galerkin/finite element space approximation
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: s11401-013-0764-1
OpenAlex ID: W2134748817
cites work: Monodromy problem and the boundary condition for some Painlevé equations
cites work: ON THE CONNECTION FORMULAS OF THE FOURTH PAINLEVÉ TRANSCENDENT
cites work: A numerical methodology for the Painlevé equations
cites work: On the Construction and Comparison of Difference Schemes
cites work: Q4426677
cites work: An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems
cites work: Numerical methods for a class of nonlinear integro-differential equations
cites work: Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation
cites work: Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
cites work: Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
cites work: Q3126807
cites work: Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
cites work: Q3321366
cites work: On solutions of nonlinear wave equations
DOI: 10.1007/S11401-013-0764-1
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 6168086