Development of the Normal Spline Method for Linear Integro-Differential Equations

DOI10.1007/3-540-44862-4_52zbMath1143.45002OpenAlexW187453196MaRDI QIDQ3527838

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Publication date: 30 September 2008

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-44862-4_52

zbMATH Keywords

Sobolev spacereproducing kerneladaptive gridintegro-differential-algebraic equationsnormal spline-collocation method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey ⋮ Least-squares collocation for linear higher-index differential-algebraic equations ⋮ A parametrization method for the numerical solution of singular differential equations ⋮ The method of normal splines for linear DAEs on the number semi-axis ⋮ The parameterization method in optimal control problems and differential-algebraic equations

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