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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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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An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(03)80036-6 ◽

2003 ◽

Vol 45 (1-3) ◽

pp. 547-554 ◽

Author(s):

A. Konguetsof ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Periodic Initial Value Problems ◽

Exponentially Fitted ◽

Trigonometrically Fitted Method

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Exponentially-fitted and trigonometrically-fitted symmetric linear multistep methods for the numerical integration of orbital problems

Physics Letters A ◽

10.1016/s0375-9601(03)01109-5 ◽

2003 ◽

Vol 315 (6) ◽

pp. 437-446 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Multistep Methods ◽

Linear Multistep Methods ◽

Orbital Problems ◽

Exponentially Fitted

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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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Computer algebra programmes for the construction of a family of Numerov-type exponentially-fitted methods for the numerical solution of the Schrödinger equation

Computers & Chemistry ◽

10.1016/s0097-8485(97)00051-x ◽

1998 ◽

Vol 22 (2-3) ◽

pp. 185-218 ◽

Author(s):

T.E. Simos ◽

P.S. Williams

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Computer Algebra ◽

Schrodinger Equation ◽

Exponentially Fitted

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Exponentially fitted Runge–Kutta methods for the numerical solution of the Schrödinger equation and related problems

Computational Materials Science ◽

10.1016/s0927-0256(00)00112-9 ◽

2000 ◽

Vol 18 (3-4) ◽

pp. 315-332 ◽

Author(s):

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Exponentially Fitted ◽

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Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions

Applied Mathematics Letters ◽

10.1016/s0893-9659(01)00121-5 ◽

2002 ◽

Vol 15 (2) ◽

pp. 217-225 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

Oscillating Solutions ◽

Exponentially Fitted ◽

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A Dissipative Exponentially-Fitted Method for the Numerical Solution of the Schrödinger Equation

Journal of Chemical Information and Computer Sciences ◽

10.1021/ci000044r ◽

2001 ◽

Vol 41 (4) ◽

pp. 909-917

Author(s):

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Exponentially Fitted ◽

Exponentially Fitted Method

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A Trigonometrically Fitted Method of Seventh Algebraic Order for the Numerical Solution of the One-Dimensional Schrödinger Equation

International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004) ◽

10.1201/9780429081385-113 ◽

2019 ◽

pp. 464-466

Author(s):

D.P. Sakas ◽

T.E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

One Dimensional ◽

Algebraic Order ◽

The One ◽

Trigonometrically Fitted Method

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