PDF covers the following topics related to Computational Physics :
Stochastic Processes, Random Numbers, Percolationl, Fractals, Monte Carlo
Methods, Solving Systems of Equations Numerically, Solving Equations, Ordinary
Differential Equations, Partial Differential Equations.
Author(s): Prof. H. J. Herrmann, Swiss Federal
Institute of Technology ETH, Zurich, Switzerland
This note is intended to be of interest to
students in other science and engineering departments as well as physics.This
note assumes that you can write a simple program in one of the following
languages: C or C++, Java, or Fortran 90.
set of lecture notes serves the scope of presenting to you and train you in an
algorithmic approach to problems in the sciences, represented here by the unity of three
disciplines, physics, mathematics and informatics. This trinity outlines the
emerging field of computational physics. Topics covered includes:
Introduction to programming and numerical methods, Linear Algebra and
Eigenvalues , Differential Equations, Monte Carlo Methods.
This set of lecture notes
serves the scope of presenting to you and train you in an algorithmic approach
to problems in the sciences, represented here by the unity of three
disciplines,physics, mathematics and informatics. This trinity outlines the
emerging field of computational physic.
The purpose of this note is demonstrate to students how computers
can enable us to both broaden and deepen our understanding of physics by vastly
increasing the range of mathematical calculations which we can conveniently
perform. Topics covered includes: Scientific programming in C, Integration of
ODEs, The chaotic pendulum, Poisson's equation, The diffusion equation, The wave
equation, Particle-in-cell codes and Monte-Carlo methods.
This note covers the following topics: Basic computer hardware and software, Machine precision and errors, C++, Dislin
- a high-level plotting library for displaying data, Linux, Numerical Libraries,
Roots of nonlinear equations, Interpolation, Differentiation, Integration,
Matrices, ODE - Ordinary Differential Equations, ODE boundary value problem,
Nonlinear Differential Equations, PDE - partial differential equations, Random
Numbers and Monte Carlo Applications, Data Modeling, Projectile motion with air
resistance and Planetary motion.