Abstract
It is the aim of this chapter to enable the readers to implement solutions to problems in the physical sciences with a computer program, and carry out the ensuing computer studies. They will therefore be shown a few basic numerical methods, and the general spirit for mapping physics problems onto a computational algorithm. It is advisable to spend some time actually implementing the exercises proposed, since is only by so doing that one may learn about, and get a feel for, the spirit of scientific computing. Examples are given using the FORTRAN 77 language and the UNIX operating system. The graphics interface used is that of the SUN workstation.
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Literature
FORTRAN 77 programming language: any of a very large number of books will do.
UNIX operating system: Mark G. Pobeil, A Practical Guide to UNIX System V. Any other book on Unix will do as weil.
Handbooks and Manuals coming with your computer, in particular Users Guides and Language Reference Manuals.
Computational methods: W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling: Numerical Recipes — The Art of Scientific Computing. Recommended! Contains many further references.
Numerical mathematics in general: J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, New York, Springer, 1980; A. Ralston, P. Rabinowitz, A First Course in Numerical Analysis, New York, McGraw-Hill, 1978.
C.W. Gear,.. Numerical Initial Value Problems in Ordinary Differential Equations, Englewood Cliffs, NJ, Prentice-Hail.
B.T. Smith et al., Matrix Eigensystem Routines — EISPACK Guide, 2nd ed., vol. 6 of Lecture Notes in Computer Science, New York, Springer 1976.
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© 1989 Springer-Verlag Berlin Heidelberg
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Zabolitzky, J.G. (1989). Computational Methods in Classical Physics. In: Computer Simulation and Computer Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97174-7_1
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DOI: https://doi.org/10.1007/978-3-642-97174-7_1
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