An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations
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Publication:1693590
DOI10.1007/s10444-017-9531-2zbMath1387.65077OpenAlexW2601261086MaRDI QIDQ1693590
Publication date: 31 January 2018
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-017-9531-2
error analysis\(hp\) versionVolterra delay-integro-differential equationscontinuous Petrov-Galerkin method
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)
Related Items (6)
Exponential convergence of the \textit{hp}-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities ⋮ An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems ⋮ An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays ⋮ An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays ⋮ An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays ⋮ Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay
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