New embedded explicit methods with minimal phase-lag for the numerical integration of the Schrödinger equation

Computers & Chemistry ◽

10.1016/s0097-8485(98)00003-5 ◽

1998 ◽

Vol 22 (5) ◽

pp. 433-440 ◽

Author(s):

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

Explicit Methods ◽

Phase Lag ◽

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Some new Numerov-type methods with minimal phase lag for the numerical integration of the radial Schrödinger equation

Molecular Physics ◽

10.1080/00268979400101841 ◽

1994 ◽

Vol 83 (6) ◽

pp. 1145-1153 ◽

Author(s):

T.E. Simos ◽

G. Mousadis

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

Phase Lag ◽

Radial Schrödinger Equation ◽

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New P-stable high-order methods with minimal phase-lag for the numerical integration of the radial Schrödinger equation

Physica Scripta ◽

10.1088/0031-8949/55/6/002 ◽

1997 ◽

Vol 55 (6) ◽

pp. 644-650 ◽

Author(s):

T E Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

Phase Lag ◽

High Order Methods ◽

Radial Schrödinger Equation ◽

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Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation

Computing ◽

10.1007/bf02247883 ◽

1990 ◽

Vol 45 (2) ◽

pp. 175-181 ◽

Author(s):

T. E. Simos ◽

A. D. Raptis

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

Phase Lag ◽

One Dimensional ◽

The One ◽

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Explicit two-step methods with minimal phase-lag for the numerical integration of special second-order initial-value problems and their application to the one-dimensional Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90224-l ◽

1992 ◽

Vol 39 (1) ◽

pp. 89-94 ◽

Author(s):

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Initial Value Problems ◽

Schrodinger Equation ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

One Dimensional ◽

The One ◽

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A family of embedded explicit six-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation: development and theoretical analysis

Journal of Mathematical Chemistry ◽

10.1007/s10910-016-0611-1 ◽

2016 ◽

Vol 54 (5) ◽

pp. 1159-1186 ◽

Author(s):

Ibraheem Alolyan ◽

T. E. Simos

Keyword(s):

Theoretical Analysis ◽

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

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A new family of two stage symmetric two-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

Journal of Mathematical Chemistry ◽

10.1007/s10910-015-0545-z ◽

2015 ◽

Vol 53 (10) ◽

pp. 2191-2213 ◽

Author(s):

Fei Hui ◽

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

Phase Lag ◽

Two Stage ◽

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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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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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Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation

Journal of Mathematical Chemistry ◽

10.1007/s10910-010-9728-9 ◽

2010 ◽

Vol 48 (4) ◽

pp. 1092-1143 ◽

Author(s):

Ibraheem Alolyan ◽

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Schrodinger Equation ◽

Phase Lag ◽

Second Derivatives

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Explicit two-step high-accuracy hybrid methods with minimal phase-lag for y″ = f(x, y) and their application to the one-dimensional Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00051-x ◽

1998 ◽

Vol 95 (1-2) ◽

pp. 1-11 ◽

Author(s):

Kaili Xiang ◽

Jianjun Zhang

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Hybrid Methods ◽

High Accuracy ◽

Phase Lag ◽

One Dimensional ◽

The One ◽

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