书目名称 | Theoretical Numerical Analysis |
副标题 | A Functional Analysi |
编辑 | Weimin Han,Kendall E. Atkinson |
视频video | |
概述 | Covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis.Exercises at the end of most sections are included (419).Short discussion |
丛书名称 | Texts in Applied Mathematics |
图书封面 |  |
描述 | .This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study... Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two ch |
出版日期 | Textbook 2009Latest edition |
关键词 | Approximation; Finite Element Methods; approximation theory; calculus; finite element method; functional |
版次 | 3 |
doi | https://doi.org/10.1007/978-1-4419-0458-4 |
isbn_softcover | 978-1-4419-3199-3 |
isbn_ebook | 978-1-4419-0458-4Series ISSN 0939-2475 Series E-ISSN 2196-9949 |
issn_series | 0939-2475 |
copyright | Springer-Verlag New York 2009 |