Titlebook: Basic Concepts in Computational Physics; Benjamin A. Stickler,Ewald Schachinger Textbook 2016Latest edition Springer Nature Switzerland AG

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Numerics of Ordinary Differential Equations: Boundary Value Problemse initial values are then modified iteratively until the original boundary values are fulfilled. These methods are particularly effective whenever eigenvalue problems are to be studied. A particular flavor of shooting methods is the . method to solve .-equation-like eigenvalue problems with homogeneous boundary conditions.

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A Brief Introduction to Monte-Carlo Methodslater chapter. The emphasis is here on the motivation of this technique as a very useful tool in the numerics of statistical physics and on the concept of detailed balance which is entirely motivated by physics.

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The Random Walk and Diffusion Theorylength pdf and a waiting time pdf. This extension appears to be necessary because many diffusive processes (not only in physics) cannot be understood on the level of Brownian motion. A consequence of this extension is the introduction of . flights and of fractal time random walks on the stochastic level.

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onte Carlo applications, data analysis and data optimization.This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes

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Der Schauspieler als Maschinista consequence – the truncation error. Further possible numerical errors are recognized: floating point errors, errors due to subtractive cancellation, methodological errors, etc. Finally, the question of the stability of a numerical method and of its computational cost is raised.

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