Titlebook: Numerical Treatment of Partial Differential Equations; Christian Grossmann,Hans-Gorg Roos,Martin Stynes Textbook 2007 Springer-Verlag Berl

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Finite Element Methods for Unsteady Problems,der hyperbolic problems follows. The initial value problems that are generated by semi-discretization methods are very stiff, which demands a careful choice of the time integration codes for such problems. Finally, at the end of the chapter some results on error control are given.

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Singular Perturbations,all discuss the asymptotic structure of the solution and the types of layers that may occur in the solution of the problem. Our survey includes finite difference, finite volume and finite element methods.

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Textbook 2007 numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that

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0172-5939 ial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for parti

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Numerical Methods for Variational Inequalities and Optimal Control, optimality conditions do not lead automatically to variational equations, but may instead be formulated as variational inequalities. In the present section, several important properties of variational inequalities are collected and we sketch their connection to the problems of convex analysis.

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