3
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VSP International Lecture Series on Computer
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P.O. Box 346, 3700 AH Zeist Volume 1, 2004, pp. 1-3
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Title of the Paper to be Presented in the Conference
T.E. Simos[1]
Department of Computer Science and Technology,
Faculty of Sciences and Technology,
University of Peloponnese,
GR-221 00 Tripolis, Greece
Received 7 March, 2004; accepted in revised form 10 March, 2004
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1. A Typical Section
We introduce the following family of methods to integrate :
(1)
(2)
(3)
where
We note also that:
· where is calculated from the relation (1)
· where is calculated from the relation (2)
Table 1: Solution of the system of equations produced based on the requirement of the minimal phase-lag. Phase-Lag (PL) and interval of periodicity (IP) of the produced methods
/ / / PL / IP0 / 0 / / /
0 / / / /
Figure 1: The Logo of the International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004).
Acknowledgments
The author wishes to thank the anonymous referees for their careful reading of the manuscript and their fruitful comments and suggestions.
References
[1] L.Gr. Ixaru and M. Micu, Topics in Theoretical Physics. Central Institute of Physics, Bucharest, 1978.
[2] L.D. Landau and F.M. Lifshitz: Quantum Mechanics. Pergamon, New York, 1965.
[3] I. Prigogine, Stuart Rice (Eds): Advances in Chemical Physics Vol. 93: New Methods in Computational Quantum Mechanics, John Wiley & Sons, 1997.
[4] G. Herzberg, Spectra of Diatomic Molecules, Van Nostrand, Toronto, 1950.
[5] T.E. Simos, Atomic Structure Computations, Chemical Modelling: Applications and Theory (Editor: A. Hinchliffe, UMIST), The Royal Society of Chemistry 38-142(2000).
[6] T.E. Simos, Numerical methods for 1D, 2D and 3D differential equations arising in chemical problems, Chemical Modelling: Application and Theory (Editor: A. Hinchliffe, UMIST), The Royal Society of Chemistry, 2(2002),170-270.
[7] T.E. Simos and P.S. Williams, On finite difference methods for the solution of the Schrödinger equation, Computers & Chemistry 23 513-554(1999).
[8] T.E. Simos: Numerical Solution of Ordinary Differential Equations with Periodical Solution. Doctoral Dissertation, National Technical University of Athens, Greece, 1990 (in Greek).
[9] A. Konguetsof and T.E. Simos, On the Construction of exponentially fitted methods for the numerical solution of the Schrödinger Equation, Journal of Computational Methods in Sciences and Engineering 1 143-165(2001).
[1] Corresponding author. Active member of the European Academy of Sciences and Arts. E-mail: ,