Multivariate Approximation Theory
Title | Multivariate Approximation Theory PDF eBook |
Author | E. W. Cheney |
Publisher | SIAM |
Pages | 74 |
Release | 1986-10-01 |
Genre | Mathematics |
ISBN | 0898712076 |
This monograph deals with the development of algorithms or the derivation of approximations from linear projections.
Multivariate Polynomial Approximation
Title | Multivariate Polynomial Approximation PDF eBook |
Author | Manfred Reimer |
Publisher | Birkhäuser |
Pages | 361 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034880952 |
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.
Multivariate Approximation and Applications
Title | Multivariate Approximation and Applications PDF eBook |
Author | N. Dyn |
Publisher | Cambridge University Press |
Pages | 300 |
Release | 2001-05-17 |
Genre | Mathematics |
ISBN | 0521800234 |
Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography.
Multivariate Approximation
Title | Multivariate Approximation PDF eBook |
Author | V. Temlyakov |
Publisher | Cambridge University Press |
Pages | 551 |
Release | 2018-07-19 |
Genre | Computers |
ISBN | 1108428754 |
Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.
Multivariate Approximation and Splines
Title | Multivariate Approximation and Splines PDF eBook |
Author | Günther Nürnberger |
Publisher | Birkhäuser |
Pages | 329 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034888716 |
This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.
Topics in Multivariate Approximation
Title | Topics in Multivariate Approximation PDF eBook |
Author | C. K. Chui |
Publisher | Elsevier |
Pages | 346 |
Release | 2014-05-10 |
Genre | Mathematics |
ISBN | 1483271005 |
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.
Recent Progress in Multivariate Approximation
Title | Recent Progress in Multivariate Approximation PDF eBook |
Author | Werner Haussmann |
Publisher | Birkhäuser |
Pages | 258 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034882726 |
Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. An essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.