Convergence of Methods for the Numerical Solution of the Korteweg—de Vries Equation
From MaRDI portal
Publication:3904007
DOI10.1093/imanum/1.2.215zbMath0455.65082OpenAlexW2047410722MaRDI QIDQ3904007
Pen-Yu Kuo, Jesús María Sanz-Serna
Publication date: 1981
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/1.2.215
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)
Related Items
A Galerkin method for a nonlinear integro-differential wave system, Convergence of a finite difference method for the KdV and modified KdV equations with \(L^2\) data, The numerical analysis of two linearized difference schemes for the <scp>Benjamin–Bona–Mahony–Burgers</scp> equation, Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations, Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy, Numerical solution of K.D.V. equation, An explicit finite-difference scheme with exact conservation properties, Unnamed Item, Unnamed Item, Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property, Exact analysis of nonlinear instability in a discrete Burgers' equation, The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation, A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation, Convergence of a two-layer scheme for equations of gas dynamics in Eulerian variables with geo-physical applications, The convergence of a differential-difference scheme of gas dynamic equations in Lagrangian mass variables, Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity, A method for the integration in time of certain partial differential equations, Convergence of the Lambert-McLeod trajectory solver and of the CELF method, Numerical solution of a nonlinear wave equation in polar coordinates, A second-order accurate Crank-Nicolson finite difference method on uniform meshes for nonlinear partial integro-differential equations with weakly singular kernels, On the stability of the nonlinear Schrödinger equation
