Titlebook: Numerical Models for Differential Problems; Alfio Quarteroni Textbook 20142nd edition Springer International Publishing 2014 PDE.analysis.

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2037-5255 rses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.978-88-470-5883-5978-88-470-5522-3Series ISSN 2037-5255 Series E-ISSN 2037-5263

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A brief survey of partial differential equations,The purpose of this chapter is to recall the basic concepts related to partial differential equations (PDEs, in short). For a wider coverage see [., ., ., .].

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笨重

Elliptic equations,This chapter is devoted to the introduction of elliptic problems and to their weak formulation. Although our introduction is quite basic, the complete novice to functional analysis is invited to consult . before reading it.

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Algorithms for the solution of linear systems,This chapter serves as a quick and elementary introduction of some of the basic algorithms that are used to solve a system of linear algebraic equations. For a more thorough presentation we advise the reader to refer to, e.g., [., Chaps. . and .], . and ..

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The finite volume method,The . method is a very popular method for the space discretization of partial differential problems in conservation form. For an in.depth presentation of the method, we suggest the monographs . and ..

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