Hermite methods for hyperbolic initial-boundary value problems

DOI10.1090/S0025-5718-05-01808-9zbMath1103.35065OpenAlexW1987803285MaRDI QIDQ3376986

Jens Lorenz, John W. Goodrich, Thomas M. Hagstrom

Publication date: 27 March 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01808-9

zbMATH Keywords

numerical experimentsTaylor seriesstaggered gridshyperbolic initial-boundary value problemsHermite methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (14)

Hermite Methods for the Scalar Wave Equation ⋮ A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations ⋮ Flux-conservative Hermite methods for simulation of nonlinear conservation laws ⋮ A characteristic mapping method for the three-dimensional incompressible Euler equations ⋮ Solving the Korteweg-de Vries equation with Hermite-based finite differences ⋮ Variations on Hermite Methods for Wave Propagation ⋮ An Explicit Hermite-Taylor Method for the Schrödinger Equation ⋮ Linear hybrid-variable methods for advection equations ⋮ Shock structure in numerical solutions of the Navier-Stokes and Bhatnagar-Gross-Krook equations ⋮ Solving PDEs with Hermite Interpolation ⋮ Leapfrog time-stepping for Hermite methods ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation ⋮ Improvement of the stability and accuracy of solid-wall immersed boundary schemes for the linearized Euler equations using boundary constraints

Uses Software

• Taylor

Cites Work

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