An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations
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Publication:1742682
DOI10.1007/s10915-017-0482-zzbMath1398.65190OpenAlexW2744615916MaRDI QIDQ1742682
Publication date: 12 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0482-z
error analysis\(h\)-\(p\) versionnonlinear delay differential equationscontinuous Petrov-Galerkin method
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 (10)
Superconvergence of discontinuous Galerkin method for neutral delay differential equations ⋮ Ana priorierror analysis of thehp-version of theC0-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations ⋮ Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution ⋮ Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems ⋮ A very high order discontinuous Galerkin method for the numerical solution of stiff DDEs ⋮ Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations ⋮ 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 continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations ⋮ ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel
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