A supraconvergent scheme for the Korteweg-de Vries equation

DOI10.1007/BF01385511zbMath0762.65077OpenAlexW335369337MaRDI QIDQ1203397

Bosco García-Archilla

Publication date: 8 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133623

zbMATH Keywords

stabilitysecond-order convergencenumerical experimentsperiodic boundary conditionsfinite difference schemesnonuniform gridssupraconvergenceKorteweg- de Vries equationformal inconsistencyrandomly- generated grids

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Applications to the sciences (65Z05)

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Solutions of an extended KdV equation describing single stationary waves with strong or weak downstream decay in turbulent open‐channel flow, Supraconvergent cell-centered scheme for two dimensional elliptic problems, A nonstandard linear finite element method for a planar elasticity problem, A superconvergent linear FE approximation for the solution of an elliptic system of PDEs, Supraconvergence and Supercloseness of a Scheme for Elliptic Equations on Nonuniform Grids, On the supraconvergence of elliptic finite difference schemes, Operator splitting methods for generalized Korteweg-de Vries equations, A priori error estimates for numerical methods for scalar conservation laws. Part II : flux-splitting monotone schemes on irregular Cartesian grids

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