Tag: Approximation

Free Download Trigonometric And Hyperbolic Generated Approximation Theory
English | 2025 | ISBN: 9811293856 | 838 Pages | PDF (True) | 12 MB
This monograph is a testimony of the impact over Computational Analysis of some new trigonometric and hyperbolic types of Taylor’s formulae with integral remainders producing a rich collection of approximations of a very wide spectrum.This volume covers perturbed neural network approximations by themselves and with their connections to Brownian motion and stochastic processes, univariate and multivariate analytical inequalities (both ordinary and fractional), Korovkin theory, and approximations by singular integrals (both univariate and multivariate cases). These results are expected to find applications in the many areas of Pure and Applied Mathematics, Computer Science, Engineering, Artificial Intelligence, Machine Learning, Deep Learning, Analytical Inequalities, Approximation Theory, Statistics, Economics, amongst others. Thus, this treatise is suitable for researchers, graduate students, practitioners and seminars of related disciplines, and serves well as an invaluable resource for all Science and Engineering libraries.

Free Download Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology
English | 2024 | ISBN: 9819765072 | 333 Pages | PDF EPUB (True) | 45 MB
Splines are mathematical objects which allow researchers in geometric modeling and approximation theory to tackle a wide variety of questions. Splines are interesting for both applied mathematicians, and also for those working in purely theoretical mathematical settings. This book contains contributions by researchers from different mathematical communities: on the applied side, those working in numerical analysis and approximation theory, and on the theoretical side, those working in GKM theory, equivariant cohomology and homological algebra.

Free Download Approximation and Online Algorithms: 10th International Workshop, WAOA 2012, Ljubljana, Slovenia, September 13-14, 2012, Revised Selected Papers By Nikhil Bansal (auth.), Thomas Erlebach, Giuseppe Persiano (eds.)
2013 | 299 Pages | ISBN: 3642380158 | PDF | 4 MB
This book constitutes the thoroughly refereed post workshop proceedings of the 10th International Workshop on Approximation and Online Algorithms, WAOA 2012, held in Ljubljana, Slovenia, in September 2012 as part of the ALGO 2012 conference event. The 22 revised full papers presented together with invited talk were carefully reviewed and selected from 60 submissions. The workshop covered areas such as geometric problems, online algorithms, scheduling, algorithmic game theory, and approximation algorithms.

Free Download Multiscale, Nonlinear and Adaptive Approximation II
English | 2024 | ISBN: 3031758013 | 470 Pages | PDF (True) | 18 MB
This book presents a collection of high-quality papers in applied and numerical mathematics, as well as approximation theory, all closely related to Wolfgang Dahmen’s scientific contributions. Compiled in honor of his 75th birthday, the papers are written by leading experts and cover topics including nonlinear approximation theory, numerical analysis of partial differential equations, learning theory, and electron microscopy. A unifying theme throughout the collection is the emphasis on a solid mathematical foundation, which serves as the basis for the most efficient numerical algorithms used to simulate complex phenomena.

Free Download Laura Sanità, "Approximation and Online Algorithms: 13th International Workshop, WAOA 2015, Patras, Greece, September 17-18, 2015. Revi"
English | ISBN: 3319286838 | 2015 | 219 pages | PDF | 3 MB
This book constitutes the thoroughly refereed post-workshop proceedings of the 13th International Workshop on Approximation and Online Algorithms, WAOA 2015, held in Patras, Greece, in September 2015 as part of ALGO 2015.

Free Download Spectral Theory of Approximation Methods for Convolution Equations By Roland Hagen, Steffen Roch, Bernd Silbermann (auth.)
1995 | 376 Pages | ISBN: 3034898916 | PDF | 23 MB
The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians working in operator theory and Banach algebras as well as to applied mathematicians and engineers interested in theoretical foundations of various methods in general use, particularly splines and wavelets. The exposition contains numerous examples and exercises. Students will find a large number of suggestions for their own investigations.

Free Download Approximation Algorithms for Traveling Salesman Problems
English | 2025 | ISBN: 1009445413 | 443 Pages | PDF | 7.5 MB
The Traveling Salesman Problem (TSP) is a central topic in discrete mathematics and theoretical computer science. It has been one of the driving forces in combinatorial optimization. The design and analysis of better and better approximation algorithms for the TSP has proved challenging but very fruitful. This is the first book on approximation algorithms for the TSP, featuring a comprehensive collection of all major results and an overview of the most intriguing open problems. Many of the presented results have been discovered only recently, and some are published here for the first time, including better approximation algorithms for the asymmetric TSP and its path version. This book constitutes and advances the state of the art and makes it accessible to a wider audience. Featuring detailed proofs, over 170 exercises, and 100 color figures, this book is an excellent resource for teaching, self-study, and further research.

Free Download Approximation Theory XIII: San Antonio 2010 By B. A. Bailey (auth.), Marian Neamtu, Larry Schumaker (eds.)
2012 | 418 Pages | ISBN: 1461407710 | PDF | 5 MB
These proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7-10, 2010 in San Antonio, Texas. The conference was the thirteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 144 participants. Previous conferences in the series were held in Austin, Texas (1973, 1976, 1980, 1992), College Station, Texas (1983, 1986, 1989, 1995), Nashville, Tennessee (1998), St. Louis, Missouri (2001), Gatlinburg, Tennessee (2004), and San Antonio, Texas (2007).Along with the many plenary speakers, the contributors to this proceedings provided inspiring talks and set a high standard of exposition in their descriptions of new directions for research. Many relevant topics in approximation theory are included in this book, such as abstract approximation, approximation with constraints, interpolation and smoothing, wavelets and frames, shearlets, orthogonal polynomials, univariate and multivariate splines, and complex approximation.

Free Download New Trends in Shape Modelling and Approximation Methods by Driss Sbibih, Sara Remogna, Abdelhafid Serghini
English | PDF EPUB (True) | 2024 | 289 Pages | ISBN : 3031627148 | 56.7 MB
This book presents recent research results from a selection of the talks presented in the international symposium "New Trends in Approximation and Applications", held at Oujda, Morocco, in June 2022. The various chapters describe developments in approximation and its different applications including approximation methods in Numerical Analysis, curves and surfaces in CAGD, interpolation and smoothing, shape modelling and computational topology, subdivision schemes and applications, wavelets, and multiresolution methods. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.

Free Download Operators, Inequalities and Approximation: Theory and Applications by Binod Chandra Tripathy, Hemen Dutta, Susanta Kumar Paikray, Bidu Bhusan Jena
English | PDF EPUB (True) | 2024 | 209 Pages | ISBN : 9819732379 | 30.4 MB
The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of various types of operators, methods for approximating such operators, proximity point problems, applications of approximation methods in other fields such as engineering, and some analytic inequalities. It seeks to capture both the pure and applied aspects of the topics discussed. Several of the concepts covered in the book are fundamental to many aspects of applied science and engineering. The intriguing and novel aspect of the book is that it focuses on foundational aspects of the topics as well as reasonable application ideas and inputs useful information for practical applications in a variety of other scientific and engineering fields.