Titlebook: Computational Physics; Simulation of Classi Philipp O. J. Scherer Textbook 20101st edition Springer-Verlag Berlin Heidelberg 2010 Algorithm

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Information Modeling Approachesains mobile charges. From a combination of the basic equations of electrostatics the generalized Poisson equation is obtained where the charge density is formally divided into a fixed and a mobile part. The goal is to calculate the electrostatic potential self-consistently. We start with a discussio

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Applications in Automotive Industryized wave equation as an eigenvalue problem and simulate waves on a finite string. We derive simple algorithms for direct integration of the discretized wave equation and discuss their stability properties. In a further computer experiment we study reflection at a closed or open boundary or at the b

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https://doi.org/10.1007/978-0-387-68155-9entrations. We analyze the stability of the simple forward Euler method and discuss how instability can easily appear. The implicit backward method has the same error order but is stable. Combination of the two methods gives the Cranck–Nicolson method which is stable and of higher error order. In on

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Philipp O. J. SchererExplains numerical techniques and provides many examples to which these can be applied.Teaches the basics of numerical methods.Explains the simulation of classical and quantum systems.Summarizes vario

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https://doi.org/10.1007/978-3-642-13990-1Algorithms for computer experiments; Classical and quantum systems; Computer experiments; Interpolation