P-adaptive Hermite methods for initial value problems

DOI10.1051/M2AN/2011050zbMath1272.65077OpenAlexW2155182848MaRDI QIDQ2842476

Ronald Chen, Thomas M. Hagstrom

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011050

zbMATH Keywords

singular perturbationnumerical examplesinitial value problemsadaptivityhigh-order methodsparabolic equationshyperbolic equationsHermite methods

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (6)

Hermite Methods for the Scalar Wave Equation ⋮ A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations ⋮ An Explicit Hermite-Taylor Method for the Schrödinger Equation ⋮ A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations ⋮ Solving PDEs with Hermite Interpolation ⋮ Leapfrog time-stepping for Hermite methods

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