Dufort-frankel-type methods for linear and nonlinear Schrödinger equations

SIAM Journal on Numerical Analysis

Volumn 33, Issue 4, 1996, Pages 1526-1533

  Wu, Lixin ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

DuFort Frankel scheme; Energy method; Schr dinger equation

Indexed keywords

EID: 0011495032     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994270636     Document Type: Article

References (8)

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5. W. DAI, Absolute stable explicit and semi-explicit schemes for Schrödinger equations, Math. Numer. Sinica, 11 (1989), pp. 1-9.
6. _, An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient, SIAM J. Numer. Anal., 29 (1992), pp. 174-181.
7. W. A. STRAUSS, Nonlinear Wave Equations, Regional Conference Series in Mathematics, Vol. 73, American Mathematical Society, Providence, RI, 1989.
8. J. C. STRIKWERDA, Finite Difference Schemes and Partial Differential Equations, Wadsworth & Brooks/Cole, Pacific Grove, CA, 1989.