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Manuscript Title: EXPFIT4 - a Fortran program for the numerical solution of systems of nonlinear second-order initial-value problems.
Authors: L.Gr. Ixaru, H. De Meyer, G. Vanden Berghe, M. Van Daele
Program title: EXPFIT4
Catalogue identifier: ADEZ_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 100(1997)71
Programming language: Fortran.
Computer: 386/486 Pentium-based PC.
Operating system: MS-DOS, Unix.
Keywords: General purpose, Newtonian physics, Celestial mechanics, Linear and nonlinear Second order, Differential equations, Initial-value problems, Exponential fitting, Multistep methods, Stepsize control.
Classification: 4.3.

Nature of problem:
All physical problems which lend themselves to a description by a non- stiff system of linear and/or nonlinear differential equations of second order, such as pendulum problems, anharmonic oscillator problems, Lagrange problems, celestial mechanics problems, etc.

Solution method:
A previously developed sixth-order four-step exponential-fitted method [2] is used in predictor-corrector mode. The efficiency of the method relies on the variability of the stepsize and on the control of the local truncation error.

Running time:
Depends on the size of the problem; of the order of a few seconds for systems of less than 10 equations and if no more than 1000 steps are required.

[1] Parallel Fortran (version 2.1.3) User Guide, 3L Ltd., UK (1990)
[2] L.Gr. Ixaru, G. Vanden Berghe, H. De Meyer and G. Van Daele, Computer Physics Communications (1997) (submitted).