Bøker av Michael Bestehorn

The 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.

Auf Basis von Beispielen aus den verschiedensten Gebieten der Physik fuhrt dieses Lehrbuch in die Computerphysik mit Fortran und Matlab ein. Ausgehend von grundlegenden Problemstellungen aus der klassischen Mechanik werden (chaotische) dynamische Systeme untersucht. Feldtheorien wie Quantenmechanik, irreversible Thermodynamik und Hydrodynamik bis hin zur selbstorganisierten makroskopischen Strukturbildung bilden den zweiten Schwerpunkt des Buches. Ein Kapitel uber Monte-Carlo-Methoden und deren Anwendung in der statistischen Physik schliet die bunte Palette physikalischer Themen ab. Inhalt:EinfuhrungAbbildungenDynamische SystemeGewohnliche Differentialgleichungen IGewohnliche Differentialgleichungen IIPartielle Differentialgleichungen I, GrundlagenPartielle Differentialgleichungen II, AnwendungenMonte Carlo-Verfahren (MC)Matrizen und lineare GleichungssystemeProgramm-LibraryLosungen der AufgabenREADME und Kurzanleitung FE-ProgrammeStichwortverzeichnis