A modified equation for dispersive difference schemes

DOI10.1016/0168-9274(95)00035-SzbMath0832.65096OpenAlexW2002626357MaRDI QIDQ1899311

Donald J. Estep

Publication date: 9 November 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00035-s

zbMATH Keywords

dispersiontransport equationdiscontinuitiesdispersive difference scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations ⋮ A new combined stable and dispersion relation preserving compact scheme for non-periodic problems

Cites Work

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• The validity of the modified equation for nonlinear shock waves
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Heuristic stability theory for finite-difference equations
• The first differential approximation to finite-difference schemes for hyperbolic systems of equations
• Boundedness of Dispersive Difference Schemes
• Beijing Lectures in Harmonic Analysis. (AM-112)
• Models of Difference Schemes for u t + u x = 0 by Partial Differential Equations
• A Dispersion Analysis for Difference Schemes: Tables of Generalized Airy Functions
• On the Scope of the Method of Modified Equations
• The Rate of Convergence of Some Difference Schemes
• Stability and Convergence Rates in $L^p$ for Certain Difference Schemes.

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