×

A note on the modified Crank-Nicolson difference schemes for Schrödinger equation. (English) Zbl 1144.65313

Aliyev Azeroğlu, Tahir (ed.) et al., Complex analysis and potential theory. Proceedings of the conference satellite to ICM 2006, Gebze, Turkey, September 8–14, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-598-3/hbk). 256-271 (2007).

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35Q40 PDEs in connection with quantum mechanics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
34G10 Linear differential equations in abstract spaces
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
65L12 Finite difference and finite volume methods for ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
PDF BibTeX XML Cite