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 ◽

Cited By ~ 5

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 ◽

Cited By ~ 215

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 ◽

Minimal Phase

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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 ◽

Cited By ~ 32

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Step Method

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

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(84)90002-5 ◽

1984 ◽

Vol 11 (3) ◽

pp. 277-281 ◽

Cited By ~ 107

Author(s):

M.M. Chawla ◽

P.S. Rao

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Type Method ◽

Periodic Initial Value Problems ◽

Minimal Phase

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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 ◽

Cited By ~ 23

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Periodic Initial Value Problems ◽

Runge Kutta

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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 ◽

Cited By ~ 23

Author(s):

T. E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Periodic Initial Value Problems

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Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.07.040 ◽

2011 ◽

Cited By ~ 2

Author(s):

Sujatha D. Achar

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Second Order Differential Equations ◽

Obrechkoff Methods ◽

Periodic Initial Value Problems ◽

Zero Phase

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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 ◽

Cited By ~ 34

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 ◽

Runge Kutta

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Symmetric multistep methods with zero phase-lag for periodic initial value problems of second order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.07.054 ◽

2006 ◽

Vol 175 (1) ◽

pp. 401-412 ◽

Cited By ~ 3

Author(s):

Godfrey Saldanha ◽

Sujatha D. Achar

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Second Order Differential Equations ◽

Periodic Initial Value Problems ◽

Symmetric Multistep Methods ◽

Zero Phase

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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 ◽

Cited By ~ 51

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 ◽

Minimal Phase

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Phase-lag analysis for a family of two-step methods for second order periodic initial value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(86)90033-6 ◽

1986 ◽

Vol 15 (2) ◽

pp. 261-263 ◽

Cited By ~ 5

Author(s):

E.H. Twizell

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Periodic Initial Value Problems

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