Titlebook: Numerical Solution of Partial Differential Equations: Theory, Tools and Case Studies; Summer Seminar Serie D. P. Laurie Book 1983 Springer

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Numerical Solution of Partial Differential Equations: Theory, Tools and Case Studies978-3-0348-6262-2Series ISSN 0373-3149 Series E-ISSN 2296-6072

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Basis Functions in the Finite Element Method,The finite element method provides a useful and powerful technique for solving partial differential equations (cf. e.g. [9]). It can also be applied successfully to problems of interpolation, and to solving operator equations in general.

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Some Types of Partial Differential Operators and Associated Well-Posed Problems,es we will discuss certain types of problems which are frequently encountered in practice in order to provide adequate background for their numerical treatment. The discussion will be confined to linear operators since nonlinearity introduces a host of difficulties which require special treatment in each particular case.