An Introduction to Computational Physics
Cambridge University Press, 19.01.2006 - 385 Seiten
Thoroughly revised for its second edition, this advanced textbook provides an introduction to the basic methods of computational physics, and an overview of progress in several areas of scientific computing by relying on free software available from CERN. The book begins by dealing with basic computational tools and routines, covering approximating functions, differential equations, spectral analysis, and matrix operations. Important concepts are illustrated by relevant examples at each stage. The author also discusses more advanced topics, such as molecular dynamics, modeling continuous systems, Monte Carlo methods, genetic algorithm and programming, and numerical renormalization. It includes many more exercises. This can be used as a textbook for either undergraduate or first-year graduate courses on computational physics or scientific computation. It will also be a useful reference for anyone involved in computational research.
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Approximation of a function
Ordinary differential equations
Numerical methods for matrices
Partial differential equations
Molecular dynamics simulations
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accuracy algorithm apply approximation Assume average block boundary condition calculated called Chapter charge clusters coefficient combination configuration consider constant construct corresponding data points defined density derivative detailed determined developed differential equation discrete discussed distribution double dynamics eigenvalue electron elements energy equation equation set error evaluation example first-order formula Fourier transform function given Hamiltonian important initial int i=0 integral interaction interpolation introduced iteration java.lang lattice length linear liquid mass matrix method Monte Carlo Note obtain operations optimization parameters particle perform periodic physics points polynomial position potential practice problem public static double quantities quantum random region result scale scheme selected similar simple simulation solution solve space specific step structure symmetric matrix temperature transform unit variables vector zero
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