The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods

DOI10.1090/S0025-5718-00-01257-6zbMath0979.65122MaRDI QIDQ2723525

Jean-Paul Kauthen

Publication date: 5 July 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

systemssuperconvergencespline collocation methodVolterra equationintegral-algebraic equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15)

Related Items (29)

Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials ⋮ Numerical solution of integral-algebraic equations with weakly singular kernels by \(k\)-step methods ⋮ Numerical solution of Volterra integral-algebraic equations using block pulse functions ⋮ On the solvability and numerical methods for solution of linear integro-algebraic equations ⋮ Jacobi spectral solution for integral algebraic equations of index-2 ⋮ Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type ⋮ An error estimation of a Nyström type method for integral-algebraic equations of index-1 ⋮ Structural analysis of linear integral-algebraic equations ⋮ Wavelets direct method for solving Volterra integral-algebraic equations ⋮ On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1 ⋮ Two-dimensional integral-algebraic systems: analysis and computational methods ⋮ Optimal convergence results of piecewise polynomial collocation solutions for integral-algebraic equations of index-3 ⋮ Continuous collocation method for third kind integral-algebraic equations ⋮ On the convergence of multistep collocation methods for integral-algebraic equations of index 1 ⋮ Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1 ⋮ An analysis of multistep methods for solving integral-algebraic equations: Construction of stability domains ⋮ Error analysis of the ultraspherical spectral-collocation method for high-index IAEs ⋮ Retracted article: Jacobi spectral solution for integral algebraic equations of index 1 ⋮ The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation ⋮ On sinc discretization for systems of Volterra integral-algebraic equations ⋮ Structural analysis of integro-differential-algebraic equations ⋮ The spectral method for solving systems of Volterra integral equations ⋮ Operational tau method for singular system of Volterra integro-differential equations ⋮ On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels ⋮ Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method ⋮ Unnamed Item ⋮ Direct regularization for system of integral-algebraic equations of index-1 ⋮ NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS ⋮ Multistep collocation methods for integral-algebraic equations with non-vanishing delays

Uses Software

• RODAS

Cites Work

• Unnamed Item
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• A survey of singularly perturbed Volterra equations
• Differential Algebraic Equations, Indices, and Integral Algebraic Equations
• Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind
• Identification of Weakly Singular Memory Kernels in Heat Conduction
• Continuous collocation approximations to solutions of first kind Volterra equations
• Inverse problems for identification of memory kernels in heat flow

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