The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems

DOI10.1016/0045-7930(83)90005-1zbMath0511.76003OpenAlexW1994973951MaRDI QIDQ1839113

Liviu Lustman, David Gottlieb

Publication date: 1983

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(83)90005-1

zbMATH Keywords

initial boundary value problemsstability theoremDuFort-Frankel Chebyshev methodpseudospectral explicit method

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Basic methods in fluid mechanics (76M99) Higher-order parabolic equations (35K25)

Related Items (10)

Analysis of the Du Fort-Frankel method for linear systems ⋮ Polynomial collocation using a domain decomposition solution to parabolic PDE's via the penalty method and explicit/implicit time marching ⋮ New analysis of the Du Fort-Frankel methods ⋮ A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions ⋮ Orthogonal collocation revisited ⋮ Pseudospectral matrix element methods for flow in complex geometry ⋮ Preconditioned minimal residual methods for Chebyshev spectral calculations ⋮ High-order structure-preserving Du Fort-Frankel schemes and their analyses for the nonlinear Schrödinger equation with wave operator ⋮ Spectral methods for exterior elliptic problems ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations

Cites Work

• Spectral methods for problems in complex geometries
• On Time Discretizations for Spectral Methods
• The Stability of Pseudospectral-Chebyshev Methods
• Generalized Du Fort–Frankel Methods for Parabolic Initial-Boundary Value Problems
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows

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