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This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods.
A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis.
The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.
ID produktu: | 1205425395 |
Tytuł: | Splines and PDEs: From Approximation Theory to Numerical Linear Algebra |
Autor: | Angela Kunoth , Tom Lyche , Giancarlo Sangalli , Stefano Serra-Capizzano |
Wydawca: | Springer-Verlag Gmbh |
Język wydania: | angielski |
Ilość stron: | 327 |
Data premiery: | 2018-09-01 |
Rok wydania: | 2018 |
Forma: | książka |
Okładka: | miękka |
Wymiary [mm]: | 25 x 233 x 154 |
Indeks: | 32173482 |
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Właśnie zrecenzowałem Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric ...