Computational Physics

Rubin H. Landau is Professor Emeritus in the Department of Physics at Oregon State University in Corvallis. He has been teaching courses in computational physics for over 25 years, was a founder of the Computational Physics Degree Program and the Northwest Alliance for Computational Science and Engineering, and has been using computers in theoretical physics research ever since graduate school. He is author of more than 90 refereed publications and has also authored books on Quantum Mechanics, Workstations and Supercomputers, the first two editions of Computational Physics, and a First Course in Scientific Computing. Manuel J. Páez is a professor in the Department of Physics at the University of Antioquia in Medellín, Colombia. He has been teaching courses in Modern Physics, Nuclear Physics, Computational Physics, Mathematical Physics as well as programming in Fortran, Pascal and C languages. He and Professor Landau have conducted pioneering computational investigations in the interactions of mesons and nucleons with nuclei. Cristian C. Bordeianu taught Physics and Computer Science at the Military College "Stefan cel Mare" in Câmpulung Moldovenesc, Romania.

Preface PART I. BASICS Introduction Software Basics Errors & Uncertainties Monte Carlo Simulations Differentiation & Integration Trial-and-Error Searching & Data Fitting Matrix Computing and N-D Searching Differential Equations & Nonlinear Oscillations PART II. DATA SCIENCE Fourier Analyses Wavelet & Principal Components Analysis Neural Networks & Machine Learning Quantum Computing PART III. APPLICATIONS ODE Applications; Eigenvalues, Scattering, Trajectories Fractals & Statistical Growth Models Nonlinear Population Dynamics Nonlinear Dynamics of Continuous Systems Thermodynamics Simulations & Fenyman Path Integrals Molecular Dynamics Simulations General Relativity Integral Equations PART IV. PDE APPLICATIONS PDE Review, Electrostatics & Relaxation Heat Flow & Leapfrogging String & Membrane Waves Quantum Wave Packets & EM Waves Shock & Soliton Waves Fluid Hydrodynamics Finite Element Electrostatics Appendices Index