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Author : Lin Jen-Jen Chang
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (33 download)
Download or read book Numerical Algorithms for Some Integrals Involving Bessel Functions of First Kind written by Lin Jen-Jen Chang and published by . This book was released on 1986 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Milton Abramowitz
Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Author : W. W. Bell
Publisher : Courier Corporation
ISBN 13 : 0486317560
Total Pages : 274 pages
Book Rating : 4.4/5 (863 download)
Download or read book Special Functions for Scientists and Engineers written by W. W. Bell and published by Courier Corporation. This book was released on 2013-07-24 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics, chemistry, and engineering undergraduates will benefit from this straightforward guide to special functions. Its topics possess wide applications in quantum mechanics, electrical engineering, and many other fields. 1968 edition. Includes 25 figures.
Author : B N Mandal
Publisher : CRC Press
ISBN 13 : 9780849306174
Total Pages : 236 pages
Book Rating : 4.3/5 (61 download)
Download or read book Advances in Dual Integral Equations written by B N Mandal and published by CRC Press. This book was released on 1998-12-18 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made significant contributions to the methodology of solving and to the applications of dual integral equations. However, until now, much of this work has been available only in the form of research papers scattered throughout different journals. In Advances in Dual Integral Equations, the authors systematically present some of the recent developments in dual integral equations involving various special functions as kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving inverse Mellin transforms. These can be particularly useful in studying certain mixed boundary value problems involving homogeneous media in continuum mechanics. However, when dealing with problems involving non-homogenous media, the corresponding equations may have different kernels. This application prompts the authors to conclude with a discussion of hybrid dual integral equations-mixed kernels with generalized associated Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics will find Advances in Dual Integral Equations a concise, one-stop resource for recent work addressing special functions as kernel.
Author : Yudell L. Luke
Publisher : Courier Corporation
ISBN 13 : 0486799395
Total Pages : 436 pages
Book Rating : 4.4/5 (867 download)
Download or read book Integrals of Bessel Functions written by Yudell L. Luke and published by Courier Corporation. This book was released on 2014-10-20 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.
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 : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 0203490304
Total Pages : 621 pages
Book Rating : 4.2/5 (34 download)
Download or read book Handbook of Computational Methods for Integration written by Prem K. Kythe and published by CRC Press. This book was released on 2004-12-20 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past 20 years, there has been enormous productivity in theoretical as well as computational integration. Some attempts have been made to find an optimal or best numerical method and related computer code to put to rest the problem of numerical integration, but the research is continuously ongoing, as this problem is still very much open-
Author : Frank Bowman
Publisher : Courier Corporation
ISBN 13 : 0486152995
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Bessel Functions written by Frank Bowman and published by Courier Corporation. This book was released on 2012-04-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Author : Árpád Baricz
Publisher : Springer Science & Business Media
ISBN 13 : 3642122299
Total Pages : 225 pages
Book Rating : 4.6/5 (421 download)
Download or read book Generalized Bessel Functions of the First Kind written by Árpád Baricz and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.
Author : Karim Belabas
Publisher : American Mathematical Soc.
ISBN 13 : 1470463512
Total Pages : 429 pages
Book Rating : 4.4/5 (74 download)
Download or read book Numerical Algorithms for Number Theory: Using Pari/GP written by Karim Belabas and published by American Mathematical Soc.. This book was released on 2021-06-23 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex L L-functions. For each task, many algorithms are presented, such as Gaussian and doubly-exponential integration, Euler-MacLaurin, Abel-Plana, Lagrange, and Monien summation. Each algorithm is given in detail, together with a complete implementation in the free Pari/GP system. These implementations serve both to make even more precise the inner workings of the algorithms, and to gently introduce advanced features of the Pari/GP language. This book will be appreciated by anyone interested in number theory, specifically in practical implementations, computer experiments and numerical algorithms that can be scaled to produce thousands of digits of accuracy.
Author : H. M. Srivastava
Publisher : MDPI
ISBN 13 : 303921618X
Total Pages : 510 pages
Book Rating : 4.0/5 (392 download)
Download or read book Integral Transforms and Operational Calculus written by H. M. Srivastava and published by MDPI. This book was released on 2019-11-20 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications
Author : Philip J. Davis
Publisher : Academic Press
ISBN 13 : 1483264289
Total Pages : 628 pages
Book Rating : 4.4/5 (832 download)
Download or read book Methods of Numerical Integration written by Philip J. Davis and published by Academic Press. This book was released on 2014-05-10 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers.
Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)
Download or read book Publications written by United States. National Bureau of Standards and published by . This book was released on 1957 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1416 pages
Book Rating : 4.3/5 (91 download)
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 1416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (318 download)
Download or read book Publications of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1957 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (4 download)
Download or read book Publications of the National Bureau of Standards ... Catalog written by United States. National Bureau of Standards and published by . This book was released on 1966 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.3/5 (91 download)
Download or read book Publications of the National Bureau of Standards, July 1, 1957, to June 30, 1960 written by United States. National Bureau of Standards and published by . This book was released on 1961 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
