On the Spline Collocation Method for the Single-Layer Heat Operator Equation

DOI10.2307/2153395zbMath0797.65077OpenAlexW2055264135MaRDI QIDQ4286585

Martti Hamina, Jukka Saranen

Publication date: 1994

Full work available at URL: https://doi.org/10.2307/2153395

zbMATH Keywords

stabilityconvergencesplinesheat equationnumerical examplesboundary element methodcollocationheat potentials

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

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• On the Asymptotic Convergence of Spline Collocation Methods for Partial Differential Equations
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
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• Boundary integral solution of the two-dimensional heat equation
• Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
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