This book presents basic and advanced computational physics. It contains well-presented and simple mathematical descriptions of key algorithms. Includes exercises and solutions to all topics, as well as computer experiments.

Teaches basic numerical methods in theoretical physics

Features numerous computer examples, for which no programming skills are required

Provides detailed explanations without mathematical proofs

Discusses standard numerical methods as well as more recent developments

Includes problems and solutions

Teaches basic numerical methods in theoretical physics Features numerous computer examples, for which no programming skills are required Provides detailed explanations without mathematical proofs Discusses standard numerical methods as well as more recent developments Includes problems and solutions Includes supplementary material: sn.pub/extras

Autorentext

Prof. Scherer received his PhD in experimental and theoretical physics in 1984. He habilitated in theoretical physics and has been a lecturer at the Technical University of Munich (TUM) since 1999. He joined the National Institute of Advanced Industrial Science and Technology (AIST) in Tsukuba, Japan, as a visiting scientist in 2001 and 2003. From 2006 to 2008 he has been temporary leader of the Institute for Theoretical Biomolecular Physics at TUM. Ever since he has been an adjunct professor at the physics faculty of TUM. His area of research includes biomolecular physics and the computer simulation of molecular systems with classical and quantum methods. He published books on theoretical molecular physics and computational physics.

Zusammenfassung

Teaches basic numerical methods in theoretical physics

Features numerous computer examples, for which no programming skills are required

Provides detailed explanations without mathematical proofs

Discusses standard numerical methods as well as more recent developments

Includes problems and solutions

Inhalt

I. Numerical Methods.- Error Analysis.- Interpolation.- Numerical Differentiation.- Numerical Integration.- Systems of Inhomogeneous Linear Equations.- Roots and Extremal Points.- Fourier Transformation.- Wavelets.- Random Numbers and Monte Carlo Methods.- Eigenvalue Problems.- Data Fitting.- Discretization of Differential Equations.- Equations of Motion.- II. Simulation of Classical and Quantum Systems.- Rotational Motion.- Molecular Mechanics.- Continuum Mechanics.- Thermodynamic Systems.- Random Walk and Brownian Motion.- Electrostatics.- Waves.- Diffusion.- Convection.- Nonlinear Systems.- Simple Quantum Systems.- Quantum Many -Body Systems.