On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1

DOI10.3934/dcdsb.2023168OpenAlexW4387464146MaRDI QIDQ6192453

Hui Liang, Hecong Gao

Publication date: 11 March 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2023168

zbMATH Keywords

convergencediscontinuous Galerkin methodsuperconvergenceindex-1integral-algebraic equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• 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
• Numerical solutions for second-kind Volterra integral equations by Galerkin methods.
• The semi-explicit Volterra integral algebraic equations with weakly singular kernels: The numerical treatments
• Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type
• The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods
• Integral-Algebraic Equations: Theory of Collocation Methods II
• Numerical solution of integral-algebraic equations for multistep methods
• Integral-Algebraic Equations: Theory of Collocation Methods I
• Volterra Integral Equations
• Direct regularization for system of integral-algebraic equations of index-1
• Differential Algebraic Equations, Indices, and Integral Algebraic Equations
• Discontinuous Galerkin approximations for Volterra integral equations of the first kind
• 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
• On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

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