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PROGRAM SUMMARY
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Title of program:
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MAPLESIM
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Catalogue identifier:
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ADLI
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Ref. in CPC:
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125(2000)21
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Distribution format: ** gzip file
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Operating system: ** DOS, Windows
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High speed store required:
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20MK words
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Number of bits in a word:
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16
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Number of lines in distributed program, including test data, etc:
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641
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Programming language used: ** Maple
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Computer: ** IBM Compatible Pentium

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Nature of physical problem:
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With the present program the derivation of the coefficients produced by
the equation (14) is obtained. The first part of the proposed program
consists of the calculation of the matrix elements which form the
coefficients of the system of equations. The second part of the
proposed program, as this has been explained in [1], [2] and [3],
consists of the iterative application of the L'Hospital's rule (to avoid
coefficients of the form 0/0) for the computation of the solution of
these equations that make up the coefficients of the method (14). We
note that the system of equations produced by the equation (14) is
solved by an application of Cramer's rule.
The above procedure is repeated for the calculation of the coefficients
of the methods (24)-(25) and for the methods (28)-(29).

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Method of solution
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Symbolic computation using Maple.

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Typical running time
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1800 seconds

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References
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[1] T. Lyche, Chebyshevian multistep methods for ordinary differential equations, Numerische Mathematik, 10 (1972) 65-75. [2] A.D. Raptis, Exponential multistep methods for ordinary differential equations, Bulletin of the Greek Mathematical Society, 25 (1984) 113-126. [3] T.E. Simos, Numerical solution of ordinary differential equations with periodical solution. Doctoral Dissertation, National Technical University of Athens, 1990.