scientific article; zbMATH DE number 1547982

zbMath0964.65100MaRDI QIDQ4521944

Jian Li, Sun, Weiwei, He-Ping Ma

Publication date: 26 June 2001

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zbMATH Keywords

algorithmnumerical exampleserror analysissemidiscretizationKorteweg-de Vries equationnonperiodic boundary conditionsLegendre pseudo-spectral method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

A Legendre spectral method in time for first-order hyperbolic equations ⋮ A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations ⋮ Optimal error estimates of the Legendre tau method for second-order differential equations ⋮ A collocation method with exact imposition of mixed boundary conditions ⋮ Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain ⋮ Error estimates of a space-time Legendre spectral method for solving the Korteweg-de Vries equation ⋮ Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D

Cites Work

• Single and multidomain Chebyshev collocation methods for the Korteweg-de Vries equation
• Truncation versus mapping in the spectral approximation to the Korteweg- de Vries equation
• The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
• Approximations of the KdV equation by least squares finite elements
• Polynomial interpolation results in Sobolev spaces
• Properties of collocation third-derivative operators
• Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations
• Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation
• Error analysis for spectral approximation of the Korteweg-de Vries equation
• The Pseudospectral Method for Third-Order Differential Equations
• Spectral Methods and Their Applications
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials

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