Efficient Numerical Solution of Orbital Problems with the use of Symmetric Four-step Trigonometrically-fitted Methods

Applied Numerical Analysis & Computational Mathematics ◽

10.1002/anac.200310018 ◽

2004 ◽

Vol 1 (1) ◽

pp. 216-222 ◽

Author(s):

G. Psihoyios ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Orbital Problems ◽

Trigonometrically Fitted Methods

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Dissipative trigonometrically fitted methods for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2003.08.001 ◽

2004 ◽

Vol 9 (1) ◽

pp. 59-68 ◽

Author(s):

T.E Simos

Keyword(s):

Numerical Solution ◽

Orbital Problems ◽

Trigonometrically Fitted Methods

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Exponentially-fitted and trigonometrically-fitted methods for the numerical solution of orbital problems

New Astronomy ◽

10.1016/s1384-1076(02)00237-3 ◽

2003 ◽

Vol 8 (5) ◽

pp. 391-400 ◽

Author(s):

T.E Simos

Keyword(s):

Numerical Solution ◽

Orbital Problems ◽

Exponentially Fitted ◽

Trigonometrically Fitted Methods

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Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction–diffusion problems

Computer Physics Communications ◽

10.1016/j.cpc.2018.01.007 ◽

2018 ◽

Vol 226 ◽

pp. 55-66 ◽

Author(s):

Raffaele D’Ambrosio ◽

Martina Moccaldi ◽

Beatrice Paternoster

Keyword(s):

Parameter Estimation ◽

Numerical Solution ◽

Reaction Diffusion ◽

Trigonometrically Fitted Methods ◽

Diffusion Problems

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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 ◽

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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Numerical solution of reaction–diffusion systems of λ–ω type by trigonometrically fitted methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.08.012 ◽

2016 ◽

Vol 294 ◽

pp. 436-445 ◽

Author(s):

Raffaele D’Ambrosio ◽

Beatrice Paternoster

Keyword(s):

Numerical Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Trigonometrically Fitted Methods

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An Exponentially Fitted and Trigonometrically Fitted Method for the Numerical Solution of Orbital Problems

The Astronomical Journal ◽

10.1086/322107 ◽

2001 ◽

Vol 122 (3) ◽

pp. 1656-1660 ◽

Author(s):

J. Vigo-Aguiar ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Orbital Problems ◽

Exponentially Fitted ◽

Trigonometrically Fitted Method

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An embedded exponentially fitted Runge–Kutta–Nyström method for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2006.03.001 ◽

2006 ◽

Vol 11 (8) ◽

pp. 577-587 ◽

Author(s):

Hans Van de Vyver

Keyword(s):

Numerical Solution ◽

Nyström Method ◽

Nystrom Method ◽

Orbital Problems ◽

Exponentially Fitted ◽

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Optimized explicit symmetric linear multistep methods for the numerical solution of the Schrödinger equation and related orbital problems

10.1063/1.4772179 ◽

2012 ◽

Author(s):

G. A. Panopoulos ◽

Z. A. Anastassi ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Multistep Methods ◽

Linear Multistep Methods ◽

Orbital Problems

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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 ◽

Author(s):

D. F. Papadopoulos ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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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 ◽

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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