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Author : N. M. Temme
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (256 download)
Download or read book On the Computation of the Incomplete Gamma Functions for Large Values of the Parameters written by N. M. Temme and published by . This book was released on 1985 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Aslam Chaudhry
Publisher : CRC Press
ISBN 13 : 1420036041
Total Pages : 515 pages
Book Rating : 4.4/5 (2 download)
Download or read book On a Class of Incomplete Gamma Functions with Applications written by M. Aslam Chaudhry and published by CRC Press. This book was released on 2001-08-21 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations
Author : Claude Brezinski
Publisher : Springer Science & Business Media
ISBN 13 : 146147034X
Total Pages : 700 pages
Book Rating : 4.4/5 (614 download)
Download or read book Walter Gautschi, Volume 1 written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2013-10-22 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi
Author : A. R. DiDonato
Publisher :
ISBN 13 :
Total Pages : 85 pages
Book Rating : 4.:/5 (227 download)
Download or read book Computation of the Incomplete Gamma Function Ratios written by A. R. DiDonato and published by . This book was released on 1976 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method, made up of several algorithms, is given for computing the incomplete gamma function ratio, P(a, x) and its complement Q(a, x) for all real arguments a> 0, x> or = 0. The difficult case when a and x are large is treated by a modified version of Takenaga's method. The resulting computer program is efficient, yields both P and Q correctly to within 1 unit in the twelfth significant digit, or, at the user's option, to within one unit in the sixth or third significant digit. A FORTRAN listing of the program is included.
Author : R.V.M. Zahar
Publisher : Springer Science & Business Media
ISBN 13 : 1468474154
Total Pages : 627 pages
Book Rating : 4.4/5 (684 download)
Download or read book Approximation and Computation: A Festschrift in Honor of Walter Gautschi written by R.V.M. Zahar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. V. M. Zahar* The sixty-fifth birthday of Walter Gautschi provided an opportune moment for an international symposium in his honor, to recognize his many contributions to mathematics and computer sciences. Conceived by John Rice and sponsored by Purdue University, the conference took place in West Lafayette from December 2 to 5, 1993, and was organized around the four main themes representing Professor Gautschi's principal research interests: Approximation, Orthogonal Polynomials, Quadrature and Special Functions. Thirty-eight speakers - colleagues, co-authors, research collaborators or doctoral students of Professor Gautschi - were invited to present articles at the conference, their lectures providing an approximately equal representation of the four disciplines. Five invited speakers, Germund Dahlquist, Philip Davis, Luigi Gatteschi, Werner Rheinboldt and Stephan Ruscheweyh, were unable to present their talks because of illness or other commitments, although Professors Dahlquist, Gatteschi and Ruscheweyh subsequently contributed arti cles to these proceedings. Thus, the final program contained thirty-three technical lectures, ten of which were plenary sessions. Approximately eighty scientists attended the conference, and for some ses sions - in particular, Walter's presentation of his entertaining and informative Reflections and Recollections - that number was complemented by many visitors and friends, as well as the family of the honoree. A surprise visit by Paul Erdos provided one of the highlights of the conference week. The ambiance at the sym posium was extremely collegial, due no doubt to the common academic interests and the personal friendships shared by the participants.
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (319 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Gautschi
Publisher : American Mathematical Soc.
ISBN 13 : 0821802917
Total Pages : 669 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics written by Walter Gautschi and published by American Mathematical Soc.. This book was released on 1994 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an International Conference held in Vancouver, B.C., August 1993, to commemorate the 50th anniversary of the founding of the journal Mathematics of Computation. It consisted of a Symposium on Numerical Analysis and a Minisymposium of Computational Number Theory. This proceedings contains 14 invited papers, including two not presented at the conference--an historical essay on integer factorization, and a paper on componentwise perturbation bounds in linear algebra. The invited papers present surveys on the various subdisciplines covered by Mathematics of Computation, in a historical perspective and in a language accessible to a wide audience. The 46 contributed papers address contemporary specialized work. Annotation copyright by Book News, Inc., Portland, OR
Author : Frank W. J. Olver
Publisher : Cambridge University Press
ISBN 13 : 0521192250
Total Pages : 968 pages
Book Rating : 4.5/5 (211 download)
Download or read book NIST Handbook of Mathematical Functions Hardback and CD-ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Author : Nico M Temme
Publisher : World Scientific
ISBN 13 : 9814612170
Total Pages : 628 pages
Book Rating : 4.8/5 (146 download)
Download or read book Asymptotic Methods For Integrals written by Nico M Temme and published by World Scientific. This book was released on 2014-10-31 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Author : Nico M. Temme
Publisher : John Wiley & Sons
ISBN 13 : 1118030818
Total Pages : 392 pages
Book Rating : 4.1/5 (18 download)
Download or read book Special Functions written by Nico M. Temme and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Author : Midwest Research Institute (Kansas City, Mo.)
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.F/5 ( download)
Download or read book Further Rational Approximations for the Incomplete Gamma Functions written by Midwest Research Institute (Kansas City, Mo.) and published by . This book was released on 1963 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harman Leon Harter
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.X/5 (1 download)
Download or read book More Tables of the Incomplete Gamma-function Ratio and of Percentage Points of the Chi-square Distribution written by Harman Leon Harter and published by . This book was released on 1964 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following tables, together with brief discussions of methods of computation and uses, are included: (1) a nine decimal-place table of the incomplete Gamma-function ratio, I(u, p), for p= -0.95(0.05)4 and u at intervals of 0.1; and (2) a six-significant-figure table of the percentage points, corresponding to cumulative probabilities P= .0001, .0005, .001, .005, .01, . 025, .05, .1(.1) .9, .95, .975, .99, .995, .999,. 9995, and .9999, of the chi- square distribution with v = 0.1(0.1) 10 degrees of freedom. Both tables are accurate to within a unit in the last place.
Author : Amparo Gil
Publisher : SIAM
ISBN 13 : 9780898717822
Total Pages : 431 pages
Book Rating : 4.7/5 (178 download)
Download or read book Numerical Methods for Special Functions written by Amparo Gil and published by SIAM. This book was released on 2007-01-01 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
Author : J. C. Mason
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algorithms for Approximation written by J. C. Mason and published by Oxford University Press, USA. This book was released on 1987 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "approximation" here refers to the approximation of functions and data by simple functions. Emphasizing the development of useful algorithms and practical applications in defense and industry, the papers cover topics such as multivariate interpolation, optimization methods, constrained problems, spline fitting, data modelling, and applications in microwave measurement, isotropic antennas, sound measurement, and digitized contours. Includes a substantial catalog of existing algorithms. No index. Annotation copyrighted by Book News, Inc., Portland, OR
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Author : Karl Pearson
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tables of the Incomplete [gamma]-function written by Karl Pearson and published by . This book was released on 1922 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. R. Walton
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Table of the Incomplete Gamma Function written by J. R. Walton and published by . This book was released on 1960 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marvin Gruber
Publisher : Routledge
ISBN 13 : 1351439154
Total Pages : 664 pages
Book Rating : 4.3/5 (514 download)
Download or read book Improving Efficiency by Shrinkage written by Marvin Gruber and published by Routledge. This book was released on 2017-11-01 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a treatment of different kinds of James-Stein and ridge regression estimators from a frequentist and Bayesian point of view. The book explains and compares estimators analytically as well as numerically and includes Mathematica and Maple programs used in numerical comparison.;College or university bookshops may order five or more copies at a special student rate, available on request.
