Numerical Methods for Physics (2nd Edition)

Garcia, Alejandro, Numerical Methods for Physics, Second Edition This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics --including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations--e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background. Preliminaries -- Programming -- Basic Elements Of Matlab -- Basic Elements Of C++ -- Programs And Functions -- Numerical Errors -- Ordinary Differential Equations I: Basic Methods -- Projectile Motion -- Simple Pendulum -- Ordinary Differential Equations Ii: Advanced Methods -- Orbits Of Comets -- Runge-kutta Methods -- Adaptive Methods -- Chaos In The Lorenz Model -- Solving Systems Of Equations -- Linear Systems Of Equations -- Matrix Inverse -- Nonlinear Systems Of Equations -- Analysis Of Data -- Curve Fitting -- Special Analysis -- Normal Modes -- Partial Differential Equations I: Foundations And Explicit Methods -- Introduction To Pdes -- Diffusion Equation -- Critical Mass -- Partial Differential Equations Ii: Advanced Explicit Methods -- Advection Equation -- Physics Of Traffic Flow -- Partial Differential Equations Iii: Relaxation And Spectral Methods -- Relaxation Methods -- Spectral Methods -- Partial Differential Equations Iv: Stability And Implicit Methods -- Stability Analysis -- Implicit Schemes -- Sparse Matrices -- Special Functions And Quadrature -- Special Functions -- Basic Numerical Integration -- Gaussian Quadrature -- Stochastic Methods -- Kinetic Theory -- Random Number Generators -- Direct Simunlation Monte Carlo -- Nonequilibrium States. Alejandro L. Garcia. Includes Bibliographical References (p. 399-406) And Index. This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background. " The second edition of this book presents discussion of the main programmes within the main text as language-independent, as opposed to the MATLAB-specific first edition. FORTRAN listings are replaced by C++