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

Computer Physics Communications ◽

10.1016/0010-4655(93)90106-m ◽

1993 ◽

Vol 74 (1) ◽

pp. 63-66 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problem ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

High Order Methods ◽

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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Some new variable-step methods with minimal phase lag for the numerical integration of special second-order initial-value problem

Applied Mathematics and Computation ◽

10.1016/0096-3003(94)90139-2 ◽

1994 ◽

Vol 64 (1) ◽

pp. 65-72 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problem ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Variable Step ◽

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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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A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem

International Journal of Computer Mathematics ◽

10.1080/00207169108803985 ◽

1991 ◽

Vol 39 (1-2) ◽

pp. 135-140 ◽

Author(s):

T. E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problem ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

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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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A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one-dimensional Schrödinger equation

Applied Mathematics Letters ◽

10.1016/0893-9659(93)90037-n ◽

1993 ◽

Vol 6 (3) ◽

pp. 67-73 ◽

Author(s):

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Integration ◽

Initial Value Problems ◽

Schrodinger Equation ◽

Second Order ◽

Initial Value ◽

Step Method ◽

One Dimensional ◽

Variable Step ◽

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The sixth order P-stable method with minimal phase lag for a second order initial-value problem

Proceedings on Intelligent Systems and Knowledge Engineering (ISKE2007) ◽

10.2991/iske.2007.85 ◽

2007 ◽

Author(s):

Kaili Xiang

Keyword(s):

Initial Value Problem ◽

Second Order ◽

Sixth Order ◽

Phase Lag ◽

Stable Method ◽

Initial Value ◽

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A family of two-step almostP-stable methods with phase-lag of order infinity for the numerical integration of second order periodic initial-value problems

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167577 ◽

1993 ◽

Vol 10 (2) ◽

pp. 289-297 ◽

Author(s):

T. E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Periodic Initial Value Problems

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A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: explicit method

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(86)90224-4 ◽

1986 ◽

Vol 15 (3) ◽

pp. 329-337 ◽

Author(s):

M.M. Chawla ◽

P.S. Rao

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Explicit Method ◽

Initial Value ◽

Type Method ◽

Periodic Initial Value Problems ◽

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An explicit almost P-stable two-step method with phase-lag of order infinity for the numerical integration of second-order pacific initial-value problems

Applied Mathematics and Computation ◽

10.1016/0096-3003(92)90029-z ◽

1992 ◽

Vol 49 (2-3) ◽

pp. 261-268 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

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