Two-step P-stable methods with phase-lag of order infinity for the numerical solution of special second order initial value problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/3-540-62598-4_138 ◽

1997 ◽

pp. 565-572

Author(s):

P. S. Williams ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

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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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EXPFIT4 — a FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems

Computer Physics Communications ◽

10.1016/s0010-4655(96)00146-4 ◽

1997 ◽

Vol 100 (1-2) ◽

pp. 71-80 ◽

Author(s):

L.Gr. Ixaru ◽

H. De Meyer ◽

G.Vanden Berghe ◽

M. Van Daele

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Fortran Program ◽

Second Order ◽

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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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Inverse linear multistep methods for the numerical solution of initial value problems of second order differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(81)90043-7 ◽

1981 ◽

Vol 7 (2) ◽

pp. 111-114 ◽

Author(s):

U.Anantha Krishnaiah

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Linear Multistep Methods ◽

Initial Value ◽

Second Order Differential Equations

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Third derivative modification of k-step block Falkner methods for the numerical solution of second order initial-value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.03.098 ◽

2018 ◽

Vol 333 ◽

pp. 231-245 ◽

Author(s):

Higinio Ramos ◽

M.A. Rufai

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Third Derivative

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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 ◽

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 ◽

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High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

Numerical Algorithms ◽

10.1007/s11075-014-9847-7 ◽

2014 ◽

Vol 68 (2) ◽

pp. 337-354 ◽

Author(s):

Ali Shokri ◽

Hosein Saadat

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Phase Lag ◽

Initial Value ◽

Obrechkoff Methods ◽

Periodic Initial Value Problems ◽

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Deriving numerical techniques with zero phase-lag and derivatives for initial value problems of second order

10.1063/1.4756421 ◽

2012 ◽

Author(s):

D. F. Papadopoulos ◽

O. T. Kosmas ◽

T. E. Simos

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Numerical Techniques ◽

Initial Value ◽

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Numerical Solution of Second Order Initial Value Problems of Bratu-type Equations using Sixth Order Runge-Kutta Seven Stages Method

International Journal of Computing Science and Applied Mathematics ◽

10.12962/j24775401.v5i1.3806 ◽

2019 ◽

Vol 5 (1) ◽

pp. 10

Author(s):

Hibist Bazezew Fenta ◽

Getachew Adamu Derese

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Sixth Order ◽

Initial Value ◽

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