On the numerical integration of second-order initial value problems with a periodic forcing function

Computing ◽

10.1007/bf02252512 ◽

1986 ◽

Vol 37 (3) ◽

pp. 195-218 ◽

Author(s):

P. J. van der Houwen ◽

B. P. Sommeijer ◽

K. Strehmel ◽

R. Weiner

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Periodic Forcing ◽

Initial Value ◽

Forcing Function

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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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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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An explicit four-step phase-fitted method for the numerical integration of second-order initial-value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(94)90015-9 ◽

1994 ◽

Vol 55 (2) ◽

pp. 125-133 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

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Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90054-y ◽

1993 ◽

Vol 26 (12) ◽

pp. 7-15 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Periodic Initial Value Problems ◽

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Two-step almost p-stable complete in phase methods for the numerical integration of second order periodic initial-value problems

International Journal of Computer Mathematics ◽

10.1080/00207169208804140 ◽

1992 ◽

Vol 46 (1-2) ◽

pp. 77-85 ◽

Author(s):

T. E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Periodic Initial Value Problems

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Two-step Explicit Methods for the Numerical Integration of a System of Second Order Initial Value Problems

Journal of Applied & Computational Mathematics ◽

10.4172/2168-9679.1000286 ◽

2016 ◽

Vol 05 (01) ◽

Author(s):

Periodic initialx Periodic initial value problem ◽

Stability properties

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Explicit Methods ◽

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A Runge—Kutta—Nyström method for the numerical integration of special second-order periodic initial-value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)00114-o ◽

1994 ◽

Vol 51 (3) ◽

pp. 317-326 ◽

Author(s):

T.E. Simos ◽

E. Dimas ◽

A.B. Sideridis

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

Periodic Initial Value Problems ◽

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A four-step phase-fitted method for the numerical integration of second order initial-value problems

BIT Numerical Mathematics ◽

10.1007/bf01952791 ◽

1991 ◽

Vol 31 (1) ◽

pp. 160-168 ◽

Author(s):

A. D. Raptis ◽

T. E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

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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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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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