A spline collocation method for parabolic pseudodifferential equations

DOI10.1016/S0377-0427(01)00401-0zbMath1013.65109MaRDI QIDQ1602765

Juha Anttila

Publication date: 24 June 2002

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

zbMATH Keywords

stabilityconvergencecollocation methodGalerkin methodboundary integral equationheat conduction problemspline functionparabolic pseudodifferential equation

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• The boundary element spline collocation for nonuniform meshes on the torus
• The spline collocation method for parabolic boundary integral equations on smooth curves
• Spline collocation for convolutional parabolic boundary integral equations
• An approximation method for the hypersingular heat operator equation
• Une classe d'opérateurs pseudo-différentiels du type de Volterra
• Problèmes aux limites généraux pour des opérateurs différentiels paraboliques dans un domaine borné
• On the Asymptotic Convergence of Collocation Methods
• On the Asymptotic Convergence of Spline Collocation Methods for Partial Differential Equations
• Boundary integral solution of the two-dimensional heat equation
• On the Spline Collocation Method for the Single-Layer Heat Operator Equation
• Parabolic boundary integral operators symbolic representation and basic properties
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