Chebyshev Polynomials In Numerical Analysis
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Author | : Arnold Noah Lowan |
Publisher | : |
Total Pages | : 24 |
Release | : 1958 |
Genre | : Chebyshev polynomials |
ISBN | : |
Download On the Use of Chebyshev Polynomials in Numerical Analysis Book in PDF, Epub and Kindle
This report discusses the use of Chebyshev polynomials in the problem of interpolation and curve fitting and in the very important problem of obtaining "economized expansions" of differential equations, either in the form of polynomials in x or in the form of polynomials in 1/x.
Author | : J.C. Mason |
Publisher | : CRC Press |
Total Pages | : 358 |
Release | : 2002-09-17 |
Genre | : Mathematics |
ISBN | : 1420036114 |
Download Chebyshev Polynomials Book in PDF, Epub and Kindle
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focuse
Author | : Leslie Fox |
Publisher | : |
Total Pages | : 216 |
Release | : 1968 |
Genre | : Chebyshev polynomials |
ISBN | : |
Download Chebyshev Polynomials in Numerical Analysis Book in PDF, Epub and Kindle
Author | : Theodore J. Rivlin |
Publisher | : Courier Dover Publications |
Total Pages | : 271 |
Release | : 2020-08-12 |
Genre | : Mathematics |
ISBN | : 0486842339 |
Download Chebyshev Polynomials Book in PDF, Epub and Kindle
This survey of the most important properties of Chebyshev polynomials encompasses several areas of mathematical analysis: • Interpolation theory • Orthogonal polynomials • Approximation theory • Numerical integration • Numerical analysis • Ergodic theory Starting with some definitions and descriptions of elementary properties, the treatment advances to examinations of extremal properties, the expansion of functions in a series of Chebyshev polynomials, and iterative properties. The final chapter explores selected algebraic and number theoretic properties of the Chebyshev polynomials. For advanced undergraduates and graduate students in mathematics Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material.
Author | : Adhemar Bultheel |
Publisher | : World Scientific |
Total Pages | : 240 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9812836268 |
Download The Birth of Numerical Analysis Book in PDF, Epub and Kindle
The 1947 paper by John von Neumann and Herman Goldstine, OC Numerical Inverting of Matrices of High OrderOCO ( Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years. Sample Chapter(s). Chapter 1: Some pioneers of extrapolation methods (323 KB). Contents: Some Pioneers of Extrapolation Methods (C Brezinski); Very Basic Multidimensional Extrapolation Quadrature (J N Lyness); Numerical Methods for Ordinary Differential Equations: Early Days (J C Butcher); Interview with Herbert Bishop Keller (H M Osinga); A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind (K Atkinson); Memoires on Building on General Purpose Numerical Algorithms Library (B Ford); Recent Trends in High Performance Computing (J J Dongarra et al.); Nonnegativity Constraints in Numerical Analysis (D-H Chen & R J Plemmons); On Nonlinear Optimization Since 1959 (M J D Powell); The History and Development of Numerical Analysis in Scotland: A Personal Perspective (G Alistair Watson); Remembering Philip Rabinowitz (P J Davis & A S Fraenkel); My Early Experiences with Scientific Computation (P J Davis); Applications of Chebyshev Polynomials: From Theoretical Kinematics to Practical Computations (R Piessens). Readership: Mathematicians in numerical analysis and mathematicians who are interested in the history of mathematics.
Author | : Theodore J. Rivlin |
Publisher | : Wiley-Interscience |
Total Pages | : 200 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : |
Download The Chebyshev Polynomials Book in PDF, Epub and Kindle
Author | : David Elliott |
Publisher | : |
Total Pages | : |
Release | : 1960 |
Genre | : |
ISBN | : |
Download Applications of Chebyshev Polynomials in Numerical Analysis Book in PDF, Epub and Kindle
Author | : John P. Boyd |
Publisher | : Courier Corporation |
Total Pages | : 690 |
Release | : 2001-12-03 |
Genre | : Mathematics |
ISBN | : 0486411834 |
Download Chebyshev and Fourier Spectral Methods Book in PDF, Epub and Kindle
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Author | : Victor S. Ryaben'kii |
Publisher | : CRC Press |
Total Pages | : 552 |
Release | : 2006-11-02 |
Genre | : Mathematics |
ISBN | : 1420011162 |
Download A Theoretical Introduction to Numerical Analysis Book in PDF, Epub and Kindle
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An access
Author | : Lloyd N. Trefethen |
Publisher | : SIAM |
Total Pages | : 375 |
Release | : 2019-01-01 |
Genre | : Mathematics |
ISBN | : 1611975948 |
Download Approximation Theory and Approximation Practice, Extended Edition Book in PDF, Epub and Kindle
This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.