Integral-Algebraic Equations: Theory of Collocation Methods II

DOI10.1137/15M1049300zbMath1347.65196OpenAlexW4232726081MaRDI QIDQ2817785

Hui Liang, Hermann Brunner

Publication date: 2 September 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1049300

zbMATH Keywords

numerical examplestractability indexoptimal order of convergenceVolterra integral equations of the first kindcollocation solutions\(\nu \)-smoothingintegral-algebraic equations of index \(2\)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for differential-algebraic equations (65L80) Volterra integral equations (45D05)

Related Items (12)

Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials ⋮ Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type ⋮ A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions ⋮ Structural analysis of linear integral-algebraic equations ⋮ On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1 ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels ⋮ On the convergence of multistep collocation methods for integral-algebraic equations of index 1 ⋮ Structural analysis of integro-differential-algebraic equations ⋮ Direct regularization for system of integral-algebraic equations of index-1 ⋮ Multistep collocation methods for integral-algebraic equations with non-vanishing delays ⋮ Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

Cites Work

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• Differential-algebraic equations. A projector based analysis
• Optimal convergence results of piecewise polynomial collocation solutions for integral-algebraic equations of index-3
• Jacobi spectral solution for integral algebraic equations of index-2
• Differential algebraic systems anew
• Integral-Algebraic Equations: Theory of Collocation Methods I
• Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
• ON THE CONVERGENCE ANALYSIS OF THE SPLINE COLLOCATION METHOD FOR SYSTEM OF INTEGRAL ALGEBRAIC EQUATIONS OF INDEX-2
• Differential Algebraic Equations, Indices, and Integral Algebraic Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS

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