Geodesic
An adaptive grid method for solving the time-dependent Schroedinger equation
Numerical methods and programming, Tome 5 (2004) no. 1, pp. 18-30

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A new numerical algorithm is proposed to solve the Cauchy problem for the time-dependent Schroedinger equation on adaptive grids. The results of application of this method to model (test) problems are presented. The influence of various parameters of the method on accuracy of solutions is discussed.
Keywords: time-dependent Schroedinger Equation, adoptive grid, Gaussian wave packets dynamics
Mots-clés : Fourier-Gauss transform. 
@article{VMP_2004_5_1_a1,
     author = {G. R. Aidagulov},
     title = {An adaptive grid method for solving the time-dependent {Schroedinger} equation},
     journal = {Numerical methods and programming},
     pages = {18--30},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a1/}
}
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G. R. Aidagulov. An adaptive grid method for solving the time-dependent Schroedinger equation. Numerical methods and programming, Tome 5 (2004) no. 1, pp. 18-30. http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a1/