A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems

Z. Kalogiratou; Th. Monovasilis; T. E. Simos

doi:10.1002/anac.200510037

A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems

Applied Numerical Analysis & Computational Mathematics ◽

10.1002/anac.200510037 ◽

2005 ◽

Vol 2 (3) ◽

pp. 359-364 ◽

Cited By ~ 18

Author(s):

Z. Kalogiratou ◽

Th. Monovasilis ◽

T. E. Simos

Keyword(s):

Numerical Integration ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta

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A trigonometrically fitted Runge–Kutta method for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2004.12.003 ◽

2005 ◽

Vol 10 (4) ◽

pp. 301-309 ◽

Cited By ~ 14

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta

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Numerical integration – Runge–Kutta method

Chaotic Dynamics ◽

10.1017/cbo9781139170864.010 ◽

1996 ◽

pp. 193-195

Keyword(s):

Numerical Integration ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta

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Numerical Integration by the 2-Stage Diagonally Implicit Runge-Kutta Method for Electromagnetic Transient Simulations

IEEE Transactions on Power Delivery ◽

10.1109/tpwrd.2008.923397 ◽

2009 ◽

Vol 24 (1) ◽

pp. 390-399 ◽

Cited By ~ 42

Author(s):

T. Noda ◽

K. Takenaka ◽

T. Inoue

Keyword(s):

Numerical Integration ◽

Kutta Method ◽

Electromagnetic Transient ◽

Runge Kutta Method ◽

Transient Simulations ◽

Runge Kutta

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A Runge-Kutta method by using phase-lag and amplification error properties for the numerical solution of orbital problems

10.1063/1.4825721 ◽

2013 ◽

Cited By ~ 1

Author(s):

D. F. Papadopoulos ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta

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An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

Computer Physics Communications ◽

10.1016/s0010-4655(98)00088-5 ◽

1998 ◽

Vol 115 (1) ◽

pp. 1-8 ◽

Cited By ~ 136

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Oscillating Solutions ◽

Exponentially Fitted ◽

Runge Kutta

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An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations

Applied Mathematics ◽

10.4236/am.2012.311218 ◽

2012 ◽

Vol 03 (11) ◽

pp. 1583-1592 ◽

Cited By ~ 1

Author(s):

Sadao Isotani ◽

Walter Maigon Pontuschka ◽

Seiji Isotani

Keyword(s):

Differential Equations ◽

Numerical Integration ◽

Fourth Order ◽

Kutta Method ◽

Coupled Differential Equations ◽

Runge Kutta Method ◽

Runge Kutta

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A dispersive-fitted and dissipative-fitted explicit Runge–Kutta method for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2004.04.005 ◽

2004 ◽

Vol 10 (1) ◽

pp. 31-37 ◽

Cited By ~ 23

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta

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A Runge-Kutta Method for the Numerical Integration of the Differential Equationy″ =f(x, y)

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19650450511 ◽

1965 ◽

Vol 45 (5) ◽

pp. 354-356 ◽

Cited By ~ 8

Author(s):

J. T. Day

Keyword(s):

Numerical Integration ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta

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An optimized Runge–Kutta method for the solution of orbital problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.06.004 ◽

2005 ◽

Vol 175 (1) ◽

pp. 1-9 ◽

Cited By ~ 145

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta

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A Runge-Kutta method with zero phase-lag and derivatives for the numerical solution of orbital problems

10.1063/1.4756419 ◽

2012 ◽

Author(s):

D. F. Papadopoulos ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta ◽

Zero Phase

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