The numerical behavior of high-order finite difference methods

DOI10.1007/BF01575102zbMath0822.76062MaRDI QIDQ1892129

Pelle Olsson

Publication date: 8 June 1995

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

convergenceEuler equationsbackward-facing stepsecond-order methodartificial viscosity operatorsdataparallel implementationfourth-order accurate methodhyperbolic model equation

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Unnamed Item
• A dataparallel implementation of an explicit method for the three- dimensional compressible Navier-Stokes equations
• Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I: The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics
• High order centered difference methods for the compressible Navier-Stokes equations
• The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
• On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods
• Third-order nonoscillatory schemes for the Euler equations
• Higher‐order difference approximations of the Navier‐Stokes equations