An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays

DOI10.1007/s10915-019-01083-1zbMath1429.65326OpenAlexW2987004404MaRDI QIDQ2291911

Lijun Yi, Li-na Wang

Publication date: 31 January 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-01083-1

zbMATH Keywords

discontinuous Galerkin method\(h\)-\(p\) versionexponential rate of convergenceVolterra delay-integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Volterra integral equations (45D05)

Related Items (3)

Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution ⋮ ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel

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