A splitting method for the nonlinear Schrödinger equation
We introduce a splitting method for the semilinear Schrödinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L2(Rd)-theory. More precisely, we prove that the scheme is of first order in the L2(Rd)-norm for H2(Rd)-initial data.
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/591 |
| Acesso em linha: | http://hdl.handle.net/20.500.11824/591 |
| Access Level: | acceso abierto |
| Palavra-chave: | Error analysis Semilinear Schrödinger equation Split-step method Stability |
| Resumo: | We introduce a splitting method for the semilinear Schrödinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L2(Rd)-theory. More precisely, we prove that the scheme is of first order in the L2(Rd)-norm for H2(Rd)-initial data. |
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