Computational Mathematicsematics

Download e-book for kindle: A first course in computational physics by Paul L. DeVries

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By Paul L. DeVries

ISBN-10: 0471548693

ISBN-13: 9780471548690

The fast development of computational physics has left a spot within the to be had literature correctly overlaying this significant topic. This ebook fills that want. It demonstrates how numerical equipment are used to resolve the issues that physicists face. Chapters talk about sorts of computational difficulties, with routines constructed round difficulties of actual curiosity. inside every one bankruptcy, scholars are lead from discussions of uncomplicated difficulties and straightforward numerical techniques via derivations of extra complicated and complex equipment. contains non-standard fabric resembling Monte Carlo equipment, orthogonal polynomials and automatic tomography, and makes use of FORTRAN because the programming language.

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Extra resources for A first course in computational physics

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C. -P. Watson landscape. We refer to this force as drift. The influence of drift on the outcome of local search depends on how well the connectivity of the landscape matches the overlying objective function. In case of a regular graph no drift exists. We conjecture this to be an important prerequisite for measuring the autocorrelation of a landscape as described above. This is commonly expressed by the assumption of a statistically isotropic landscape. However, as shown in the next section, the configuration space of combinatorial optimization problems are not always regular.

Garey and Johnson (1979) show that this problem belongs to the class of NP-hard problems. Hence, exact solution techniques are bound to work well for small to medium sized problem instances only and real world sized problems including up to thousands of items have to be solved heuristically. In recent years, meta-heuristic approaches have been applied to the onedimensional BPP at the forefront of which algorithms based on evolutionary concepts have to be mentioned. Falkenauer (1996) developed a Hybrid Grouping Genetic Algorithm (HGGA) which to date is the most effective mate-heuristic approach for the one-dimensional BPP.

Operations Research, 40:113–125, 1992. 15. C. Mattfeld. Evolutionary Search and the Job Shop. Physica-Verlag, 1996. 16. C. Mattfeld, C. Bierwirth, and H. Kopfer. A search space analysis of the job shop scheduling. Annals of Operations Research, 86:441–453, 1999. 17. P. Merz and B. Freisleben. Fitness landscape analysis and memetic algorithms for the quadratic assignment problem. IEEE Transactions on Evolutionary Computation, 4:337–352, 2000. 18. E. Nowicki and S. Smutnicki. A fast tabu search algorithm for the job shop problem.

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A first course in computational physics by Paul L. DeVries

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