Solving PDEs with Hermite Interpolation

DOI10.1007/978-3-319-19800-2_3zbMath1352.65452OpenAlexW2338996026MaRDI QIDQ2831181

Daniel Appelö, Thomas M. Hagstrom

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_3

zbMATH Keywords

discontinuous Galerkin methodHermite interpolationFORTRANPDE solverMatlab program

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Packaged methods for numerical algorithms (65Y15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (9)

Flux-conservative Hermite methods for simulation of nonlinear conservation laws ⋮ An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions ⋮ Unnamed Item ⋮ Variations on Hermite Methods for Wave Propagation ⋮ An Explicit Hermite-Taylor Method for the Schrödinger Equation ⋮ A Diffusion-Driven Characteristic Mapping Method for Particle Management ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation ⋮ An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems

Uses Software

• Matlab
• CHIDES

Cites Work

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• Hermite methods for hyperbolic initial-boundary value problems
• Numerical Methods in Scientific Computing, Volume I
• Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes
• A comparative study of the efficiency of jet schemes

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