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Discretization methods for PDEs

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  • Part 2 Lectures In basic computational numerical analysis has contents: Numerical solution of ODEs, numerical solution of PDEs (mathematical introduction, overview of discretization methods for PDEs, elliptic equations,...).

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  • The following chapters contain core material supported by pen and paper exercises together with computer-based exercises where appropriate. In addition there are web links to: worked solutions, computer codes, audio-visual presentations, case studies, further reading. Codes are written using Scilab (a Matlab clone, downloadable for free from http://www.scilab.org/) and also Matlab.

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  • This section attempts to answer some of the questions you might formulate when you turn the first page: What does this toolbox do? Can I use it? What problems can I solve?, etc. What Does this Toolbox Do? The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time. The equations are discretized by the Finite Element Method (FEM). The objectives of the PDE Toolbox are to provide you with tools that: • Define a PDE problem, i.e.

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