Titlebook: Numerical Mathematics; Alfio Quarteroni,Riccardo Sacco,Fausto Saleri Textbook 20071st edition Springer Science+Business Media New York 200

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Parabolic and Hyperbolic Initial Boundary Value ProblemsThe final chapter of this book is devoted to the approximation of time-dependent partial differential equations. Parabolic and hyperbolic initial-boundary value problems will be addressed and either finite differences and finite elements will be considered for their discretization.

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Principles of Numerical Mathematicshe chapter: they provide the common framework for the analysis of any method considered henceforth. The second part of the chapter deals with the computer finite representation of real numbers and the analysis of error propagation in machine operations.

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Numerical Integrationtervals, although in Sections 9.8 and 9.9 an extension of the techniques to integration over unbounded intervals (or integration of functions with singularities) and to the multidimensional case will be considered.

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https://doi.org/10.1007/978-0-387-22750-4Algebra; MATLAB; algorithms; calculus; complexity; equation; function; geometry; linear algebra; mathematics;

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Springer Science+Business Media New York 2007

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