Boundedness of Dispersive Difference Schemes

DOI10.2307/2008792zbMath0729.65065OpenAlexW4249817554MaRDI QIDQ3355169

Donald J. Estep, Jeffrey Rauch, Michael Loss

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2008792

zbMATH Keywords

initial value problemBesov spacespointwise boundednessdispersive difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (3)

A modified equation for dispersive difference schemes ⋮ The Green's function of the Lax-Wendroff and beam-warming schemes ⋮ The selection of mesh size for computation of waves over long times

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Transformation of an analytic function of several variables to a canonical form
• Partial differential equations. 4th ed
• Besov spaces and applications to difference methods for initial value problems
• Dispersion and Gibbs phenomenon associated with difference approximations to initial boundary-value problems for hyperbolic equations
• The near-stability of the Lax-Wendroff method
• Group Velocity in Finite Difference Schemes
• A Dispersion Analysis for Difference Schemes: Tables of Generalized Airy Functions
• The Rate of Convergence of Some Difference Schemes
• On Difference Schemes for Hyperbolic Equations with Discontinuous Initial Values
• On the Rate of Convergence for Discrete Initial-Value Problems.
• Stability and Convergence Rates in $L^p$ for Certain Difference Schemes.
• Estimates Near Discontinuities for Some Difference Schemes.

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