Justification of difference schemes for solving a nonlinear nonstationary Schrödinger-type equation system (Q1901194)
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scientific article; zbMATH DE number 813133
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Justification of difference schemes for solving a nonlinear nonstationary Schrödinger-type equation system |
scientific article; zbMATH DE number 813133 |
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Justification of difference schemes for solving a nonlinear nonstationary Schrödinger-type equation system (English)
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7 November 1995
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Conservative difference schemes for the numerical solution of complex nonlinear wave equations of Schrödinger type are considered. Motion integrals are constructed and discrete analogues are obtained. Solution estimates are obtained in \(W^1_2\) and convergence of the difference scheme is proven in \(\mathbb{C}\) as well as in \(L^2\), and the convergence proof is based on a new a priori estimate.
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conservative difference schemes
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complex nonlinear wave equations of Schrödinger type
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convergence
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