Numerical analysis and simulation for a nonlinear wave equation
type: Item
instance of: scholarly article
title: Numerical analysis and simulation for a nonlinear wave equation
zbMATH Open document ID: 1331.65142
author: Mauro A. Rincon
author: N. P. Quintino
published in: Journal of Computational and Applied Mathematics
publication date: 2015-12-21T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6522814
zbMATH Keywords: blow-up
zbMATH Keywords: error estimate
zbMATH Keywords: numerical examples
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: finite element method in the spatial variable
zbMATH Keywords: finite difference method in time
zbMATH Keywords: Newton's method
MaRDI profile type: Publication
full work available at URL: j.cam.2015.09.024
OpenAlex ID: W1772423227
cites work: Q5890172
cites work: Q4613849
cites work: Blow-up theorems for nonlinear wave equations
cites work: Numerical studies of the damped Korteweg-de Vries system
cites work: Q5403849
cites work: Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string
cites work: $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
cites work: $L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations
cites work: Q3999241
cites work: Q4162607
cites work: Galerkin Methods for Parabolic Equations
cites work: Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
DOI: 10.1016/J.CAM.2015.09.024
description: scientific article; zbMATH DE number 6522814