Explicit second-order accurate schemes for the nonlinear Schrödinger equations

被引：0
|
作者：
Čiegis R.
Štikoniene O.
机构：
来源：
Lithuanian Mathematical Journal | 1999年 / 39卷 / 1期
关键词：
Convergence; Energy conservation; Explicit finite-difference schemes; Schrödinger equation; Stability;
D O I：
10.1007/BF02465532
中图分类号：
学科分类号：
摘要：
We consider three-level explicit schemes for solving the nonlinear variable coefficient Schrödinger-type equation. Using spectral and energy methods we establish the stability and convergence of these schemes. The existence of discrete conservation laws is investigated. General results are applied for the DuFort-Frankel and leap-frog difference schemes. © 1999 Kluwer Academic/Plenum Publishers.
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页码：20 / 32
页数：12
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