scientific article

zbMath0745.65071MaRDI QIDQ3987499

Georgios D. Akrivis, Vassilios A. Dougalis

Publication date: 28 June 1992

Full work available at URL: https://eudml.org/doc/237171

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

numerical resultserror estimatesSchrödinger equationlong rangevariable meshvariable domainCrank-Nicolson finite difference solutionlow-frequency underwater acousticssecond- order convergence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Hydro- and aero-acoustics (76Q05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Palindromic control and mirror symmetries in finite difference discretizations of 1-D Schrödinger equations ⋮ A finite difference method for the wide-angle “parabolic” equation in a waveguide with downsloping bottom ⋮ Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain ⋮ Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions

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