Method of total approximation for the solution of a system of nonstationary nonlinear equations of Schrödinger type in the multidimensional case
DOI10.1007/BF01027191zbMath0666.65087OpenAlexW2087953480MaRDI QIDQ1116679
Publication date: 1988
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01027191
convergencemethod of total approximationfinite difference systemdifferential-difference equationsmultidimensional casenon- stationary nonlinear equations of Schrödinger typesummary approximation method
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)
Cites Work
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- Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
- A method for the integration in time of certain partial differential equations
- Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
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