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Topic: Approximation theory

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	American Mathematical Monthly, The: A Course in Approximation Theory (Site not responding. Last check: 2007-10-09)
		Approximation theory is a rather specialized area of mathematics that is practiced as a stand-alone subject by only a small number of mathematicians.
		However, the issues investigated in approximation theory are of fundamental importance for a wide array of applications ranging from numerical analysis and the solution of PDEs in many areas of science and engineering to computer graphics, data mining, and artificial intelligence.
		Another benefit of the minimum energy radial basis function is its ability to approximate accurately and also to cover holes smoothly (notice the data-free regions in the left part of the figure; these holes occur because regions of the statue were obscured from the limited number of scanning positions).
	www.findarticles.com /p/articles/mi_qa3742/is_200405/ai_n9352148 (1415 words)

	TAMU Center for Approximation Theory (Site not responding. Last check: 2007-10-09)
		The Center for Approximation Theory (CAT) was founded in September, 1981, by Charles K. Chui, L. Schumaker, and J. Ward.
		During the past eighteen years, it has grown into a preeminent center of research in approximation theory and related areas, notably wavelet analysis.
		The Center for Approximation Theory is part of the Department of Mathematics and enjoys its available facilities and staff assistance.
	www.math.tamu.edu /research/groups/CAT (332 words)

	The Math Forum - Math Library - Approximation Theory
		The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas.
		This is the home page of Constructive Approximation, a journal devoted to approximation theory.
		This journal encourages the study of Approximation Theory in Eastern Europe.
	mathforum.org /library/topics/approx_theory (473 words)

	History of Approximation Theory
		This is where Fejér introduced what we now call the Hermite-Fejér Interpolation operator (based on the zeros of the Chebyshev polynomial), and proved the uniform convergence of the sequence of these polynomials to the function being interpolated.
		Kirchberger's ``proof'' of the alternation theorem, a theorem about the stability of the linear approximation operator and Chebyshev's approximation algorithm, i.e., all his one-dimensional results, are only to be found in the thesis.
		Young, J. W., General theory of approximation by functions involving a given number of arbitrary parameters, Trans.
	www.math.technion.ac.il /hat/papers.html (1903 words)

	Center for Constructive Approximation (Site not responding. Last check: 2007-10-09)
		The Center for Constructive Approximation comprises faculty, students, and visting researchers, working in Approximation Theory and related areas in Analysis, Spline and Wavelet Theory, and Numerical Analysis.
		The Center for Constructive Approximation recently observed the Special Year in Approximation, 13 months of workshops, conferences and seminars focusing on approximation theory and related areas.
		The purpose of the Special Year was to bring together researchers from diverse areas of approximation theory, to stimulate international collaboration in the field, and to promote interaction and the exchange of ideas.
	www.math.vanderbilt.edu /~cca (577 words)

	Weierstrass and Approximation Theory (ResearchIndex)
		Weierstrass This is a story about Karl Wilhelm Theodor Weierstrass (Weierstra), what he contributed to approximation theory (and why), and some of the consequences thereof.
		9 The Theory of Approximation (context) - Jackson - 1930
		1 The general theory of approximation by polynomials and trigo..
	citeseer.ist.psu.edu /382876.html (834 words)

	11J: Diophantine approximation, transcendental number theory
		11J93: Transcendence theory of Drinfel´d and t-modules [new in 2000]
		Quality of approximations of an irrational by rationals.
		Maximizing a sum of sines (of different periods) (really a question of approximating a number by rationals).
	www.math.niu.edu /~rusin/known-math/index/11JXX.html (343 words)

	- SHOP.COM
		Instead they are approximated by manageable functions such as polynomials and piecewise polynomials.
		The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years.
		This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods.
	www.shop.com /op/aprod-p26271470 (293 words)

	MA887 - Approximation Theory (Site not responding. Last check: 2007-10-09)
		I will use these notes for the last part of the present course but will not be able to resist the temptation to make changes; so, have a look at the emended(?) notes.
		In addition, that page (as of 23feb98) also contains an alternative way of looking at approximation order by convolution kernels.
		There is a 100-page survey, meant for a general audience, of NONLINEAR APPROXIMATION by Ron DeVore, that has appeared in Acta Numerica; 7; 1998.
	www.cs.wisc.edu /~deboor/ma887.html (259 words)

	Amazon.com: Approximation Algorithms: Books: Vijay V. Vazirani (Site not responding. Last check: 2007-10-09)
		Richard Karp,University Professor, University of California at Berkeley Following the development of basic combinatorial optimization techniques in the 1960s and 1970s, a main open question was to develop a theory of approximation algorithms.
		In the 1990s, parallel developments in techniques for designing approximation algorithms as well as methods for proving hardness of approximation results have led to a beautiful theory.
		Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties by G.
	www.amazon.com /exec/obidos/tg/detail/-/3540653678?v=glance (852 words)

	International Conference Advances in Constructive Approximation: Main Page
		Our aim is to bring together researchers from diverse areas of approximation theory, to stimulate international collaboration, and to promote interaction and the exchange of ideas.
		We welcome the participation of pure and applied mathematicians working in approximation theory from around the world.
		Due to the recent passing of our esteemed colleagues and distinguished members of the approximation theory community, two special sessions will be dedicated to their memory.
	atlas.math.vanderbilt.edu /~advances (285 words)

	Approximation Theory at Texas A&M (Site not responding. Last check: 2007-10-09)
		MATH 657 and on foundations and methods of approximation theory
		Areas of faculty interest include radial and related basis functions, scattered data surface fitting, rates of approximation, constrained approximation, polynomial inequalities, wavelets, splines, and a variety of other topics and fields.
		Approximation and interpolation employing divergence-free radial basis functions with applications
	www.math.tamu.edu /~fnarc/AT/at_group.html (235 words)

	Wiley::Approximation Theory: Proceedings of the International Dortmund Meeting IDoMAT'95 held in Witten, Germany, March ...
		Approximation Theory: Proceedings of the International Dortmund Meeting IDoMAT'95 held in Witten, Germany, March 13-17, 1995
		This volume contains the contributions of the International Dortmund Meeting on Approximation Theory (IDoMAT 95) at Haus Bommerholz the conference center of Dortmund University during the week of March 13-17, 1995.
		At this international conference researchers and specialists from China, England, France, Hungary, Israel, Italy, Romania, U.S.A. and Germany described new developments in the fields of approximation theory.
	www.wiley.com /WileyCDA/WileyTitle/productCd-3055016734.html (198 words)

	Powell's Books - Theory of Approximation (Dover Phoenix Editions) by N I Achieser
		Algebraic Equations: An Introduction to the Theories of Lagrange and Galois
		Theory of Functionals and of Integral and Integro-Differential Equations
		A pioneer of many modern developments in approximation theory, N. Achieser designed this graduate-level text from the standpoint of functional analysis.
	www.powells.com /cgi-bin/biblio?inkey=4-0486495434-1 (639 words)

	Approximation methods for solutions of differential equations -- from Mathematica Information Center
		LdeApprox - Mathematica package for numeric and symbolic polynomial approximation of an LDE solution or function.
		It means that LDE coefficients, boundary or initial conditions and interval of the approximation can be either symbolical or numerical expressions.
		The required precision of the approximation can be reached very fast.
	library.wolfram.com /infocenter/MathSource/5144 (136 words)

	The USC Number Theory Home Page
		I have particular interests in results associated with lattice points close to (or on) a curve or surface, the distribution of special sequences of integers in short intervals, applications of Padé approximations to Number Theory, the irreducibility of polynomials over the rationals, and computations with sparse or lacunary polynomials.
		Analytic Number Theory and Approximation Theory with particular interests in the use of finite differences to determine information about lattice points close to a curve or surface.
		Analytic and Elementary Number Theory with particular interests in the distribution of primes, Waring's problem, arithmetic properties of elliptic curves over the rationals, and applications of the theory of modular forms.
	www.math.sc.edu /~filaseta/numthry.html (398 words)

	Approximation Theory IX
		Approximation Theory IX Approximation Theory IX Volume I: Theoretical Aspects
		This meticulously edited selection of papers comes out of the Ninth International Symposium on Approximation Theory held in Nashville, Tennessee, in January, 1998.
		This book should be of great interest to mathematicians, engineers, and computer scientists working in approximation theory, wavelets, computer-aided geometric design (CAGD), and numerical analysis.
	www.vanderbilt.edu /vupress/chui.htm (138 words)

	Sparse Grid Spectral Methods and some Results from Approximation Theory (ResearchIndex) (Site not responding. Last check: 2007-10-09)
		Abstract: INTRODUCTION The sparse grid approach for the solution of partial differential equations (PDEs) was recently extended to spectral and pseudospectral methods.
		Here, we summarize how results from the approximation theory for Sobolev spaces of functions with bounded mixed derivative can be used to derive asymptotic error estimates for the approximation and interpolation error of functions when either the basis functions are from a step hyperbolic cross or when the interpolation is done on a...
		16 Approximation by trigonometric polynomials in a certain clas..
	citeseer.ist.psu.edu /kupka99sparse.html (304 words)

	History of Approximation Theory (Site not responding. Last check: 2007-10-09)
		This is our short list of the main past contributors to approximation theory.
		Articles devoted to the history of approximation theory.
		Our thanks to the following people for their help.
	www.math.technion.ac.il /hat (58 words)

	ABC-Dir: Approximation
		Measure theory and metric Diophantine approximation: Diophantine approximation on manifolds.
		Diophantine approximation; Nevanlinna theory, especially as related to diophantine approximation; Arakelov theory.
		Bibliography in the Approximation of Curves and Surfaces (Popularity:
	www.abc-directory.com /view/approximation (97 words)

	Approximation Theory (Site not responding. Last check: 2007-10-09)
		Please read the disclaimer and description before downloading these notes.
		This is a set of lecture notes for a short course on Approximation Theory that I offered to graduate students at Bowling Green State University, Bowling Green, Ohio, in the Summer of 1998 (and, in somewhat different form, in 1994 and 1990).
		The course was intended as a survey of elementary techniques in Approximation Theory for novices and non-experts.
	personal.bgsu.edu /~carother/Approx.html (181 words)

	Publisher description for Library of Congress control number 80040880 (Site not responding. Last check: 2007-10-09)
		Publisher description for Approximation theory and methods / M. Powell.
		Bibliographic record and links to related information available from the Library of Congress catalog
		Library of Congress subject headings for this publication: Approximation theory
	www.loc.gov /catdir/description/cam022/80040880.html (217 words)

	Mathematical Methods
		These volumes contain a carefully edited selection of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000.
		Both contain several invited surveys written by leading experts in the field, along with contributed research papers on the most current developments in approximation theory and in the theory and application of curves and surfaces.
		These books will be of great interest to mathematicians, engineers, and computer scientists.
	www.vanderbilt.edu /vupress/math2001.html (167 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		Energy Citations Database (ECD) Document #5670843 - Multiconfiguration relativistic random-phase approximation.
		Availability information may be found in the Availability, Publisher, Research Organization, Resource Relation and/or Author (affiliation information) fields and/or via the "Full-text Availability" link.
		For a journal article, please see the Resource Relation field.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=5670843 (78 words)

	eBay - Approximation Theory Using Positive Linear Operato... items on eBay.com (Site not responding. Last check: 2007-10-09)
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