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Explicit second-order accurate schemes for the nonlinear Schrödinger equations (1999)

Čiegis, R. ; Štikonienè, O.

Springer

Lithuanian mathematical journal 39 (1999), S. 20-32

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ISSN: 1573-8825

Keywords: Schrödinger equation ; explicit finite-difference schemes ; stability ; energy conservation ; convergence

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract 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 diffenrence schemes.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02465532

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