Simulation And The Monte Carlo Method, Third Edition

by Reuven Y. Rubinstein (Author), Dirk P. Kroese (Author)

Computational methods pertaining to many branches of science, such as physics, physical chemistry and biology, are presented. The text is primarily intended for third-year undergraduate or first-year graduate students.

This book describes, as simply as possible, the mechanisms of scattering (both elastic and inelastic) of electrons with solid targets (electron–atom, electron–plasmon, and electron–phonon interactions). It also presents the main strategies of the Monte Carlo method, as well as numerous comparisons between simulation results and the experimental data available in the literature. Furthermore it provides readers with all the information they need in order to write their own Monte Carlo code and to compare the obtained results with the many numerical and experimental examples presented throughout the book.

This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motion are solved by a large number of simple as well as more sophisticated methods. Several modern algorithms for quantum wavepacket motion are compared.

This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained.

This collection covers all fields of mathematics, a must-have for the aspiring maths students and scholars alike.