On dispersive difference schemes

DOI10.1016/0167-2789(86)90185-5zbMath0613.65127OpenAlexW2068601811MaRDI QIDQ1819557

Peter D. Lax

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90185-5

zbMATH Keywords

KdV equationdiscontinuous solutionsemidiscrete approximationcompressible flows with shocksvon Neumann scheme

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

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Cites Work

• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
• The generation of modulated wavetrains in the solution of the Korteweg—de vries equation
• Systems of conservation laws
• Unnamed Item