Titlebook: Computational Partial Differential Equations; Numerical Methods an Hans Petter Langtangen Textbook 19991st edition Springer-Verlag Berlin H

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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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Programming of Finite Element Solvers,programming details. In Chapters 3.1–1.7 we deal with the Poisson equation. A trivial extension to the convection-diffusion equation is exemplified in Chapter 3.8. Chapters 3.9 and 3.10 demonstrate that only minor extensions of the Poisson equation solvers are needed to handle time-dependent problem

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Fluid Mechanics Applications,irst 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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Coupled Problems,n 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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