Splines and PDEs : from approximation theory to numerical linear algebra : Cetraro, Italy 2017
著者
書誌事項
Splines and PDEs : from approximation theory to numerical linear algebra : Cetraro, Italy 2017
（Lecture notes in mathematics, 2219 . CIME Foundation subseries）
Springer , Fondazione CIME Roberto Conti, c2018
大学図書館所蔵 件 / 全38件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
この図書・雑誌をさがす
注記
Other authors: Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より
