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

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https://doi.org/10.1007/978-88-470-5522-3PDE; analysis; numerical modelling

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Alfio QuarteroniAuthor faces here the basic concepts for the numerical modeling of partial differential equations.An outstanding reference work in this branch of applied mathematics.In particular, the author discuss

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Spectral methods,egree of the polynomials used, also in the case where solutions are very regular. In this chapter we will introduce ., for which the convergence rate is only limited by the regularity of the solution of the problem (and is exponential for analytical solutions). For a detailed analysis we refer to [., ., ., .].

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