Explicit second-order accurate schemes for the nonlinear Schrödinger equations (Q1567712)
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scientific article; zbMATH DE number 1465829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit second-order accurate schemes for the nonlinear Schrödinger equations |
scientific article; zbMATH DE number 1465829 |
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Explicit second-order accurate schemes for the nonlinear Schrödinger equations (English)
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6 December 2000
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The authors consider three levels explicit schemes for solving nonlinear variable coefficient Schrödinger type equations. The stability and convergence of these schemes are obtained. The existence of discrete conservation laws is investigated. These results are suitable for DuFort-Frankel and leap-frog difference schemes.
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nonlinear Schrödinger equations
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stability
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energy conservation
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convergence
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DuFort-Frankel method
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explicit finite difference method
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discrete conservation laws
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