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Record Nr. |
UNISALENTO991003636149707536 |
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Autore |
C.I.M.E. Summer School "Splines and PDEs" <2017 ; Cetraro, Italy> |
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Titolo |
Splines and PDEs: from approximation theory to numerical linear algebra [e-book] : Cetraro, Italy 2017 / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers |
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Pubbl/distr/stampa |
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ISBN |
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331994911X |
9783319949116 |
9783319949109 |
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Descrizione fisica |
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1 online resource (ix, 318 pages) : illustrations (some color) |
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Collana |
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Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries |
Lecture Notes in Mathematics, 0075-8434 ; 2219 |
C.I.M.E. Foundation Subseries ; 2219 |
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Classificazione |
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Altri autori (Persone) |
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Kunoth, Angelaauthor |
Lyche, Tomauthor |
Sangalli, Giancarlo |
Serra-Capizzano, Stefano |
Manni, Carla |
Speleers, Hendrik |
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Disciplina |
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Soggetti |
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Numerical analysis |
Differential equations, partial |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement ; Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs ; Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations ; Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications |
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Sommario/riassunto |
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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 |
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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. |
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