On a mixed Galerkin method for semi-explicit index-1 integro-differential algebraic equations

DOI10.1007/S40314-023-02554-WMaRDI QIDQ6192339

Hui Liang, Haiyan Zhang

Publication date: 12 February 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergence analysisdiscontinuous Galerkin methodscontinuous Galerkin methodsintegro-differential algebraic equationsiterated discontinuous Galerkin methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Two-dimensional integral-algebraic systems: analysis and computational methods
• Operational tau method for singular system of Volterra integro-differential equations
• Implicit Runge-Kutta methods for some integrodifferential-algebraic equations
• Numerical solutions for second-kind Volterra integral equations by Galerkin methods.
• Integro-differential systems with a degenerate matrix multiplying the derivative
• Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
• Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods
• Discontinuous Galerkin approximations for Volterra integral equations of the first kind
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Collocation methods for integro-differential algebraic equations with index 1

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