Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Cetraro, Italy 2017
Seiten
2018
|
1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-94910-9 (ISBN)
Springer International Publishing (Verlag)
978-3-319-94910-9 (ISBN)
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.
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.
To be Provided.
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.
Erscheinungsdatum | 22.09.2018 |
---|---|
Reihe/Serie | C.I.M.E. Foundation Subseries | Lecture Notes in Mathematics |
Zusatzinfo | IX, 318 p. 62 illus., 51 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 504 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | Adaptive Multiscale Methods • isogeometric analysis • Numerical Treatment of PDEs • Partial differential equations • Spectral Analysis • Spline Approximation |
ISBN-10 | 3-319-94910-1 / 3319949101 |
ISBN-13 | 978-3-319-94910-9 / 9783319949109 |
Zustand | Neuware |
Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Mathematik von Studierenden für Studierende erklärt und kommentiert
Buch | Softcover (2024)
Springer Spektrum (Verlag)
CHF 48,95
Begriffe, Sätze und zahlreiche Beispiele in kurzen Lerneinheiten
Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 76,95
Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95