Sprache: Englisch
Verlag: Williston, Vermont, U.S.A.: Birkhauser, 1999
ISBN 10: 3764361379 ISBN 13: 9783764361372
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Hardcover. Zustand: Very Good. No Jacket. 1st Edition. "This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Prominent among the former are least-squares approximations, Gauss and related quadrature, iterative methods in linear algebra, the detection of singularities, and integral equations. Applications of the latter kind include the use of wavelets in medical diagnostics and the relevance of orthogonal polynomials in optimal control, dynamical systems, and gas dynamics. Computational methods relate to numerical and symbolic computation and include, in particular, matrix interpretation and convergence, perturbation, and stability analyses of relevant algorithms. Generalizations of orthogonal polynomials are also considered, for example, s-orthogonal, matrix- and tensor-valued, Muntz-type, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists. " (Publisher).
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In den WarenkorbZustand: Good. Volume 1883. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9783540310624.
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Hardcover. Ex-library with stamp and library-signature in good condition, some traces of use. C-03893 9783764361372 Sprache: Englisch Gewicht in Gramm: 1050.
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Sprache: Englisch
Verlag: Springer, Springer Vieweg, 2006
ISBN 10: 3540310622 ISBN 13: 9783540310624
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey's scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations.
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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 440 | Sprache: Englisch | Produktart: Bücher | Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey¿s scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations.
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In den WarenkorbPaperback. Zustand: Brand New. 292 pages. 9.25x6.10x0.66 inches. In Stock.
Taschenbuch. Zustand: Neu. Applications and Computation of Orthogonal Polynomials | Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998 | Walter Gautschi (u. a.) | Taschenbuch | xiii | Englisch | 2013 | Birkhäuser | EAN 9783034897280 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Zustand: New. This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Editor(s): Gautschi, Walter; Golub, Gene H.; Opfer, Gerhard. Series: International Series of Numerical Mathematics. Num Pages: 286 pages, biography. BIC Classification: PBK; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 17. Weight in Grams: 586. . 1999. Hardback. . . . . Books ship from the US and Ireland.
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The workshop on Applications and Computation of Orthogonal Polynomials took place March 22-28, 1998 at the Oberwolfach Mathematical Research Institute. It was the first workshop on this topic ever held at Oberwolfach. There were 46 participants from 13 countries, more than half coming from Germany and the United States, and a substantial number from Italy. A total of 23 plenary lectures were presented and 4 short informal talks. Open problems were discussed during an evening session. This volume contains refereed versions of 18 papers presented at, or submitted to, the conference. The theory of orthogonal polynomials, as a branch of classical analysis, is well established. But orthogonal polynomials play also an important role in many areas of scientific computing, such as least squares fitting, numerical integration, and solving linear algebraic systems. Though the basic tenets have their roots in 19th century mathematics, the use of modern computers has required the development and study of new algorithms that are accurate and robust. The computational methods and applications represented in this volume, of necessity, are incomplete, yet sufficiently varied to convey an impression of current activities in this area.