Multivariate Polynomial Approximation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Multivariate Polynomial Approximation PDF full book. Access full book title Multivariate Polynomial Approximation.
| Author | : Manfred Reimer |
| Publisher | : Birkhäuser |
| Total Pages | : 361 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034880952 |
Download Multivariate Polynomial Approximation Book in PDF, ePub and Kindle
This book introduces general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book builds the first comprehensive introduction to the theory of generalized hyperinterpolation. Several parts of the book are based on rotation principles, which are presented in the beginning of the book.
| Author | : Manfred Reimer |
| Publisher | : Birkhauser |
| Total Pages | : 358 |
| Release | : 2003-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780817616380 |
Download Multivariate Polynomial Approximation Book in PDF, ePub and Kindle
Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book gives the first comprehensive introduction to the recently developped theory of generalized hyperinterpolation. As an application, the book gives a quick introduction to tomography. Several parts of the book are based on rotation principles, which are presented in the beginning of the book, together with all other basic facts needed.
| Author | : C. K. Chui |
| Publisher | : Elsevier |
| Total Pages | : 346 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483271005 |
Download Topics in Multivariate Approximation Book in PDF, ePub and Kindle
Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.
| Author | : Kendall Atkinson |
| Publisher | : CRC Press |
| Total Pages | : 275 |
| Release | : 2019-11-27 |
| Genre | : Mathematics |
| ISBN | : 1000725863 |
Download Spectral Methods Using Multivariate Polynomials On The Unit Ball Book in PDF, ePub and Kindle
Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.
| Author | : Sorin G. Gal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 359 |
| Release | : 2010-06-09 |
| Genre | : Mathematics |
| ISBN | : 0817647031 |
Download Shape-Preserving Approximation by Real and Complex Polynomials Book in PDF, ePub and Kindle
First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography
| Author | : George M. Phillips |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 325 |
| Release | : 2006-04-06 |
| Genre | : Mathematics |
| ISBN | : 0387216820 |
Download Interpolation and Approximation by Polynomials Book in PDF, ePub and Kindle
In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
| Author | : Jan de Gier |
| Publisher | : Springer |
| Total Pages | : 667 |
| Release | : 2018-04-10 |
| Genre | : Mathematics |
| ISBN | : 3319722999 |
Download 2016 MATRIX Annals Book in PDF, ePub and Kindle
MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.
| Author | : Guido Walz |
| Publisher | : |
| Total Pages | : |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
Download Asymptotic Expansions for Multivariate Polynomial Approximation Book in PDF, ePub and Kindle
| Author | : William Mariasoosai |
| Publisher | : |
| Total Pages | : 96 |
| Release | : 1991 |
| Genre | : |
| ISBN | : |
Download Approximation by Multivariate Polynomials of Fixed Length Book in PDF, ePub and Kindle
| Author | : Ben Adcock |
| Publisher | : Society for Industrial and Applied Mathematics (SIAM) |
| Total Pages | : 0 |
| Release | : 2021 |
| Genre | : Approximation theory |
| ISBN | : 9781611976878 |
Download Sparse Polynomial Approximation of High-Dimensional Functions Book in PDF, ePub and Kindle
"This is a book about polynomial approximation in high dimensions"--
