Quantum scattering with a spherically symmetric potential --
The variational method for the Schrödinger equation --
The Hartree-Fock method --
Density functional theory --Solving the Schrödinger equation in periodic solids --
Classical equilibrium statistical mechanics --
Molecular dynamics simulations --
Quantum molecular dynamics --
The Monte Carlo method --
Transfer matrix and diagonalisation of spin chains --
Quantum Monte Carlo methods --
The finite element method for partial differential equations --
The lattice Boltzmann method for fluid dynamics --
Computational methods for lattice field theories --
High performance computing and parallelism --
Numerical methods --
Random number generators.

This edition has been fully updated with several new sections and chapters. It covers many different areas of physics research and different computational methodologies. Throughout the book the relations between the methods used in different fields of physics are emphasised.