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By Paul L. DeVries

The swift development of computational physics has left a spot within the to be had literature competently masking this significant topic. This ebook fills that desire. It demonstrates how numerical equipment are used to resolve the issues that physicists face. Chapters talk about types of computational difficulties, with routines built round difficulties of actual curiosity. inside of each one bankruptcy, scholars are lead from discussions of easy difficulties and straightforward numerical ways via derivations of extra complicated and complicated tools. contains non-standard fabric similar to Monte Carlo equipment, orthogonal polynomials and automatic tomography, and makes use of FORTRAN because the programming language.

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A first course in computational physics

The fast development of computational physics has left a niche within the to be had literature accurately overlaying this crucial topic. This publication fills that desire. It demonstrates how numerical equipment are used to resolve the issues that physicists face. Chapters speak about sorts of computational difficulties, with routines built round difficulties of actual curiosity.

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1985). , London & New York: Academic Press. 9. Adamiak, K. (1985). Applications of integral equations to solving inverse problems of stationary electromagnetic fields, Int. J. Num. Math. Eng. 21: 1447-1458. 10. Str6er, M. (1987). Eine Galerkin-Methode mit singul~en Formfunktionen und ihre Anwendung auf die Berechnung magnetostatischer Felder, Optik 77: 15-25. ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL. 116 CHAPTER II Reducible Systems In reality, all electromagnetic fields are three-dimensional and it would be desirable to calculate them as such.

Unfortunately, this assumption does not always hold, and there are then different steps of generalization. The simplest one is the case of isotropic nonlinear media, most favorably presented by H (r) = v(r, IBI)B (r). 11) This equation means that H and B always have the same direction, but the material factor v " - # - 1 called the reluctivity depends on the norm of B. This assumption is simplistically made in most finite-element programs for the calculation of magnetic lenses, for instance, those written by Munro [4] and Lencova [5].

27) This procedure is mathematically correct but has the severe difficulty that the domain of solution must be appropriately dissected to exclude currentconducting parts and that it is thereafter hardly possible to find the appropriate boundary values at the surface of the reduced domain. Nevertheless, there are important examples of the feasibility of this method. If all materials in a magnetic device can be assumed to be linear, there is a way out of this difficulty, as this linearity allows us to separate the magnetic field into a driving field Ho(r) and a contribution HM(r) from the materials, which superimpose linearly.

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