000 01857 a2200241 4500
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020 _a9783319004006
041 _aeng
082 _a530.15
_bSchC2
100 _aScherer, Philipp O. J.
245 _aComputational Physics :
_bSimulation of Classical and Quantum Systems [2nd ed.] /
_cPhilipp O. J. Scherer
250 _a2nd ed.
260 _aSwitzerland:
_bSpringer;
_c©2010
300 _axviii, 454p.
490 _aGraduate Texts in Physics
520 _aThis textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into notonly the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.
650 _aTheoretical Physics
650 _aMathematical Physics
650 _aScience
650 _aPhysics
942 _cBK
999 _c6935
_d6935