On convergence and stability of difference schemes for nonlinear Schrödinger type equations

DOI10.1007/BF02986898zbMath0879.65064MaRDI QIDQ1366389

Mindaugas Radziunas

Publication date: 30 October 1997

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

zbMATH Keywords

stabilityconvergencenonlinear Schrödinger equationCrank-Nicolson difference method

Mathematics Subject Classification ID

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 (2)

Galilei's relativity principle for a system of reaction-convection-diffusion equations ⋮ Systems of reaction-convection-diffusion equations invariant under Galilean algebras

Cites Work

• A numerical scheme for the nonlinear Schrödinger equation
• On convergence of difference schemes for nonlinear Schrödinger equations, the Kuramoto-Tsuzuki equation, and reaction-diffusion type systems
• Dipole-like nonlinear excitations in an inhomogeneous two-dimensional system
• Optimal H¹ Estimates for two Time-discrete Galerkin Approximations of a Nonlinear Schrödinger Equation
• Some pointwise estimates for the finite element solution of a radial nonlinear Schrödinger equation on a class of nonuniform grids
• Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity
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