On the convergence in \(C\) norm of symmetric difference schemes for nonlinear evolution problems

DOI10.1007/BF02450414zbMath0794.65072MaRDI QIDQ1324852

Raimondas Čiegis

Publication date: 19 July 1994

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

convergencenonlinear Schrödinger equationnumerical experimentnonlinear evolution problemssymmetric difference scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

On convergence in the \(L_ 2\) norm of difference schemes for systems of parabolic partial differential equations ⋮ On a general method for investigation of finite difference schemes ⋮ Stability and convergence of Dufort-Frankel-type difference schemes for a nonlinear Schrödinger-type equation ⋮ Explicit second-order accurate schemes for the nonlinear Schrödinger equations ⋮ ON STABILITY ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR GENERALIZED KURAMOTO-TSUZUKI EQUATION WITH NONLOCAL BOUNDARY CONDITIONS ⋮ On the difference scheme for a nonlinear diffusion-reaction-type problem

Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Convergence and stability of the difference schemes for a system of nonlinear Schrödinger type equations
• Mathematical modeling of laser heating of metal. Spatial problem
• A numerical study of the nonlinear Schrödinger equation involving quintic terms
• The Backward Euler Method for Numerical Solution of the Hodgkin–Huxley Equations of Nerve Conduction
• Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
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