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020 _a9783110782363
041 _aeng
082 _a530.02
_bBesC2
100 _aBestehorn, Michael
245 _aComputational Physics :
_bWith Worked Out Examples in FORTRAN® and MATLAB® [2nd ed.] /
_cMichael Bestehorn
250 _a2nd ed.
260 _bDe Gruyter;
_c©2023
300 _axxii, 396p.
520 _ahe work shows, by means of examples coming from different corners of physics, how physical and mathematical questions can be answered using a computer. Starting with maps and neural networks, applications from Newton's mechanics described by ordinary differential equations come into the focus, like the computation of planetary orbits or classical molecular dynamics. A large part of the textbook is dedicated to deterministic chaos normally encountered in systems with sufficiently many degrees of freedom. Partial differential equations are studied considering (nonlinear) field theories like quantum mechanics, thermodynamics or fluid mechanics. In the second edition, a new chapter gives a detailed survey on delay or memory systems with a direct application to epidemic and road traffic models. Most of the algorithms are realized in FORTRAN, a language most suitable for effectively solving the discussed problems. On the other hand, the codes given and presented on the book’s homepage can be easily translated into other languages. Moreover, several MATLAB examples are presented, mainly for didactic reasons. The book is addressed to advanced Bachelor or Master students of physics, applied mathematics and mechanical engineering. Presents computer applications in numerous areas of physics. Exercises with solutions encouraging self-study. NEW extensive chapter on 'Ordinary Differential Equations with Memory and Delay'.
650 _aPhysics
650 _aMechanical Engineering
650 _aTheoretical and Mathematical Physics
650 _aNumerical and Computational Mathematics
942 _cBK
999 _c7501
_d7501