Splines and PDEs: From Approximation Theory to Numerical Linear Algebra Cetraro, Italy 2017 /

• Main Authors: Kunoth, Angela (Author, http://id.loc.gov/vocabulary/relators/aut), Lyche, Tom (http://id.loc.gov/vocabulary/relators/aut, Editor, http://id.loc.gov/vocabulary/relators/edt), Sangalli, Giancarlo (http://id.loc.gov/vocabulary/relators/aut), Serra-Capizzano, Stefano (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Manni, Carla (Editor, http://id.loc.gov/vocabulary/relators/edt), Speleers, Hendrik (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: C.I.M.E. Foundation Subseries ; 2219
• Subjects: Numerical analysis.; Approximation theory.; Partial differential equations.; Numerical Analysis.; Approximations and Expansions.; Partial Differential Equations.

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 n...

Table of Contents:

• 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.