A Spectral Method of Characteristics for Hyperbolic Problems

DOI10.1137/0728024zbMath0743.65080OpenAlexW2002021826MaRDI QIDQ3971868

Antony Ware, Endre Süli

Publication date: 25 June 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0728024

zbMATH Keywords

stabilityconvergencenumerical examplesmethod of characteristicsoptimal error estimatesspectral methodcharacteristic finite element methodtimestepping

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

A spectral Lagrange-Galerkin method for convection-dominated diffusion problems, Fast and accurate polar Fourier transform, An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT, Numerical method of characteristics for one-dimensional blood flow, A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws, A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis, A stabilized finite element method for stochastic incompressible Navier–Stokes equations, ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows, Conservative semi-Lagrangian finite volume schemes, The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials, A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid, A second order characteristics finite element scheme for natural convection problems, Fully discrete semi-Lagrangian methods for advection of differential forms, An Adaptive Multi-level method for Convection Diffusion Problems, A Partial Fourier Transform Method for a Class of Hypoelliptic Kolmogorov Equations, A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models, The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids