DISPERSIVE SCHEMES FOR THE CRITICAL KORTEWEG–DE VRIES EQUATION

DOI10.1142/S0218202513500413zbMath1278.65119OpenAlexW2101756117MaRDI QIDQ2868745

Corentin Audiard

Publication date: 19 December 2013

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513500413

zbMATH Keywords

finite differencesKorteweg-de Vries equationdiscrete dispersive estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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)

Related Items (2)

Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems ⋮ Convergence error estimates at low regularity for time discretizations of KdV

Cites Work

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• Fonctions entières et intégrales de Fourier multiples. II
• Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• FULLY DISCRETE SCHEMES FOR THE SCHRÖDINGER EQUATION: DISPERSIVE PROPERTIES

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