A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(98)10127-3 ◽

1999 ◽

Vol 106 (2-3) ◽

pp. 245-264 ◽

Author(s):

T.E. Simos

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Numerical Solution ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Phase Lag ◽

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A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf02941979 ◽

2001 ◽

Vol 8 (3) ◽

pp. 459-467 ◽

Author(s):

A. G. Bratsos

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Numerical Solution ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Cubic Schrödinger Equation

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Finite-difference scheme for the numerical solution of the Schrödinger equation

Physical Review A ◽

10.1103/physreva.45.2074 ◽

1992 ◽

Vol 45 (3) ◽

pp. 2074-2075 ◽

Author(s):

Ronald E. Mickens ◽

Issa Ramadhani

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Numerical Solution ◽

Finite Difference Scheme ◽

Schrodinger Equation

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A new finite-difference scheme for the numerical solution of the Schrödinger equation

Canadian Journal of Physics ◽

10.1139/p96-135 ◽

1997 ◽

Vol 75 (5) ◽

pp. 325-335 ◽

Author(s):

T E Simos

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Numerical Solution ◽

Finite Difference Scheme ◽

Schrodinger Equation

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A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.09.051 ◽

2012 ◽

Vol 219 (6) ◽

pp. 3187-3197 ◽

Author(s):

Xin Li ◽

Luming Zhang ◽

Shanshan Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Analysis of a conservative high-order compact finite difference scheme for the Klein–Gordon–Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.02.018 ◽

2019 ◽

Vol 358 ◽

pp. 84-96 ◽

Author(s):

Jialing Wang ◽

Dong Liang ◽

Yushun Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

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On the conservative finite difference scheme for 2D nonlinear Schrödinger equation

Computer Physics Communications ◽

10.1016/s0010-4655(06)70082-0 ◽

1999 ◽

Vol 121-122 ◽

pp. 677

Author(s):

Yu.F. Kir'yanov ◽

M.L. Kudryavtseva ◽

M.V. Maslov ◽

I.V. Shestakova

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Conservative Finite Difference Scheme

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A nonlinear nonstandard finite difference scheme for the linear time-dependent Schrödinger equation

The Journal of Difference Equations and Applications ◽

10.1080/10236190500489426 ◽

2006 ◽

Vol 12 (3-4) ◽

pp. 313-320 ◽

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Linear Time ◽

Time Dependent ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Stability of a symmetric finite-difference scheme with approximate transparent boundary conditions for the time-dependent Schrödinger equation

Doklady Mathematics ◽

10.1134/s1064562407020214 ◽

2007 ◽

Vol 75 (2) ◽

pp. 260-265

Author(s):

A. A. Zlotnik ◽

B. Ducomet

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Time Dependent ◽

Transparent Boundary Conditions

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New insights in the development of Numerov-type methods with minimal phase-lag for the numerical solution of the Schrödinger equation

Computers & Chemistry ◽

10.1016/s0097-8485(00)00090-5 ◽

2001 ◽

Vol 25 (1) ◽

pp. 77-82 ◽

Author(s):

T.E. Simos ◽

P.S. Williams

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Phase Lag ◽

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A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian

Journal of Scientific Computing ◽

10.1007/s10915-021-01703-9 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

Yanyan Wang ◽

Zhaopeng Hao ◽

Rui Du

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Fractional Laplacian ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger

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