The numerical solution of an evolution problem of second order in time on a closed smooth boundary

DOI10.1016/S0377-0427(02)00351-5zbMath1004.65096MaRDI QIDQ1612420

R. S. Chapko

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical resultsboundary integral methodtrigonometric interpolationboundary integral equationssingle and double layer potentialsLaguerre transformationFourier-Laguerre seriesevolution problemNyström's method

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

On the numerical solution of a boundary value problem in the plane elasticity for a double-connected domain ⋮ An integral equation method for the numerical analysis of gravity waves in a channel with free boundary ⋮ The numerical solution of the axially symmetric linear sloshing problem by the boundary integral equation method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a full discretization scheme for a hypersingular boundary integral equation over smooth curves
• Linear integral equations.
• On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
• On the numerical solution of a hypersingular integral equation in scattering theory
• On the linear theory of gravity waves: the theorem of existence and uniqueness
• On the numerical solution of linear evolution problems with an integral operator coefficient

This page was built for publication: The numerical solution of an evolution problem of second order in time on a closed smooth boundary