Titlebook: Computational Partial Differential Equations; Numerical Methods an Hans Petter Langtangen Textbook 2003Latest edition Springer-Verlag Berli

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John O. Moody,Panos J. Antsaklisirst we present a solver for a general time-dependent and possibly nonlinear convection-diffusion equation, where the implementation constitutes a synthesis of most of the Diffpack tools mentioned in Chapters 3 and 4.2. The next application concerns waves in shallow water. We first treat finite diff

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https://doi.org/10.1007/978-3-319-77452-7n includes derivation of the PDEs, precise description of the numerical solution algorithms, and software design principles based on object-oriented programming and Diffpack tools. Contrary to Chapters 5 and 6, where . PDEs were in main focus, we now address systems of PDEs where the different equat

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Getting Started,ion of finite difference schemes, implementation in Diffpack, and visualization of the simulation results. Particular attention is paid to fundamental concepts in Diffpack and C++ programming that will be needed for further reading of the book.

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Introduction to Finite Element Discretization,od is the straightforward handling of geometrically complicated domains. It is also easy to construct higher-order approximations. The present chapter gives an introduction to the basic ideas of finite elements and associated computational algorithms. No previous knowledge of the method is assumed.

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Solid Mechanics Applications,s chapter have applications in structural engineering, material science, seismology, geology, sensor technology, and bioengineering. The present chapter covers two mathematical models: (i) elastic deformations with thermal expansion effect s and (ii) combined elast ic and plastic deformations.

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Daisuke Ito,Kazuki Hase,Yasushi Saitocomparative insight into Europeanization focusing on effective outcomes in a systematic way. This book analyzes the period 1986-2008 and includes an introduction, a global overview of European legislative activities which set the background for Europeanization of national legislatures, 9 country con

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