Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels

DOI10.1016/j.jmaa.2009.03.061zbMath1169.65122OpenAlexW2029697110MaRDI QIDQ1025048

Jingtang Ma

Publication date: 18 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.061

zbMATH Keywords

finite element methodssemi-discretizationa priori error estimatestime stepping methoddiscontinuous Galerkin time-stepping methodsRitz Volterra projection operatorVolterra integro differential equations of neutral type with weakly singular kernels

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels ⋮ Collocation methods for cordial Volterra integro-differential equations

Cites Work

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• Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations
• An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
• Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
• Finite Element Methods for Integrodifferential Equations
• Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
• Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

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