On The Use Of 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 | : David Elliott |
Publisher | : |
Total Pages | : |
Release | : 1960 |
Genre | : |
ISBN | : |
Download Applications of Chebyshev Polynomials in Numerical Analysis Book in PDF, Epub and Kindle
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 | : Weidong Guo |
Publisher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2013-01-26 |
Genre | : Science |
ISBN | : 3642340881 |
Download The Application of the Chebyshev-Spectral Method in Transport Phenomena Book in PDF, Epub and Kindle
Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer. To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs. The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.
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 | : R.D Harding |
Publisher | : CRC Press |
Total Pages | : 190 |
Release | : 1989-01-01 |
Genre | : Mathematics |
ISBN | : 9780852741542 |
Download A Simple Introduction to Numerical Analysis Book in PDF, Epub and Kindle
Approximation techniques are widely used in mathematics and applied physics, as exact solutions are frequently impossible to obtain. A Simple Introduction to Numerical Analysis, Volume 2: Interpolation and Approximation extends the first volume to consider problems in interpolation and approximation. Topics covered include the construction of interpolating functions, the determination of polynomial and rational function approximations, numerical quadrature, and the solution of boundary value problems in ordinary differential equations. As with the previous volume, the text is integrated with a software package that allows the reader to work through numerous examples. It is also possible to use the software to consider problems that are beyond the scope of the text. The authors' expertise in combining text and software has resulted in a very readable work.
Author | : A. C. Faul |
Publisher | : CRC Press |
Total Pages | : 161 |
Release | : 2018-10-24 |
Genre | : Mathematics |
ISBN | : 1498712215 |
Download A Concise Introduction to Numerical Analysis Book in PDF, Epub and Kindle
This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics. Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem. A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading. The book uses MATLAB® implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book’s page at www.crcpress.com. Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book’s page at www.crcpress.com. This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.
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.