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

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Nonlinear Problems, implementation of the methods in Chapter 4.1 are described in Chapter 4.2. The application are as are limited to scalar PDEs, but the methodology in this chapter is straightforwardly applied to systems of PDEs and more challenging applications in Chapters 5.2, 6.3, and 7.

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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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Programming of Finite Element Solvers,amming details. In Chapters 3.1–3.8 we deal with the Poisson equation. A trivial extension to the convection-diffusion equation is exemplified in Chapter 3.9. Chapters 3.10–3.13 demonstrate that only minor extensions of the Poisson equation solvers are needed to handle time-dependent problems, in th

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Nonlinear Problems,scretization techniques for nonlinear terms in PDEs and algorithms for solving systems of nonlinear algebraic equations. Software tools supporting the implementation of the methods in Chapter 4.1 are described in Chapter 4.2. The application are as are limited to scalar PDEs, but the methodology in

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Hans Petter LangtangenThe only textbook teaching computational PDEs together with Diffpack, suitable for CSE courses.Includes supplementary material: