The use of Chebyshev polynomials in the space-time least-squares spectral element method

zbMath1066.65110MaRDI QIDQ1773079

Bart De Maerschalck, M. I. Gerritsma

Publication date: 25 April 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

numerical resultsexponential convergencediscontinuous solutionlinear and nonlinear hyperbolic scalar equations

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (17)

Haar wavelet approximation for magnetohydrodynamic flow equations ⋮ Least-squares spectral method for solving advective population balance problems ⋮ An adaptive spectral least-squares scheme for the Burgers equation ⋮ Fictitious domain approach via Lagrange multipliers with least squares spectral element method ⋮ A novel numerical scheme for solving Burgers' equation ⋮ Least‐squares spectral element method applied to the Euler equations ⋮ An approximation method for solving Burgers' equation using Legendre wavelets ⋮ A predictor-corrector compact finite difference scheme for Burgers' equation ⋮ Spectral element method for parabolic interface problems ⋮ \(hp\)-adaptive least squares spectral element method for population balance equations ⋮ Least-squares spectral element method for non-linear hyperbolic differential equations ⋮ \(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations ⋮ Direct minimization of the discontinuous least-squares spectral element method for viscoelastic fluids ⋮ Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations ⋮ A time-spectral method for initial-value problems using a novel spatial subdomain scheme ⋮ Spectral solution of the breakage-coalescence population balance equation Picard and Newton iteration methods ⋮ Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions

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