On the numerical solution of linear evolution problems with an integral operator coefficient

DOI10.1216/jiea/1181074261zbMath0974.65057OpenAlexW1976522101MaRDI QIDQ5939731

R. S. Chapko, Volodymyr L. Makarov, Ivan P. Gavrilyuk

Publication date: 30 July 2001

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL11-1/CONT11-1/CONT11-1.html

zbMATH Keywords

convergenceerror estimatesfast Fourier transformToeplitz matrixcollocationcirculant matrixCayley transformexplicit representationhypersingular integral equationsintegral operator coefficientlinear evolution problemsspectral propertytrigonometric interpolation quadrature

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

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

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