General Computational Methods of Chebyshev Approximation

General Computational Methods of Chebyshev Approximation PDF Author: Evgeniĭ I︠A︡kovlevich Remez
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 390

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General Computational Methods of Chebyshev Approximation

General Computational Methods of Chebyshev Approximation PDF Author: Evgeniĭ I︠A︡kovlevich Remez
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 390

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Book Description


2016 MATRIX Annals

2016 MATRIX Annals PDF Author: Jan de Gier
Publisher: Springer
ISBN: 3319722999
Category : Mathematics
Languages : en
Pages : 667

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Book Description
MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.

Approximation Theory and Approximation Practice, Extended Edition

Approximation Theory and Approximation Practice, Extended Edition PDF Author: Lloyd N. Trefethen
Publisher: SIAM
ISBN: 1611975948
Category : Mathematics
Languages : en
Pages : 377

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Book Description
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 field’s 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.

Chebyshev and Fourier Spectral Methods

Chebyshev and Fourier Spectral Methods PDF Author: John P. Boyd
Publisher: Courier Corporation
ISBN: 0486411834
Category : Mathematics
Languages : en
Pages : 690

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Book Description
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.

An Introduction to the Approximation of Functions

An Introduction to the Approximation of Functions PDF Author: Theodore J. Rivlin
Publisher: Courier Corporation
ISBN: 9780486640693
Category : Mathematics
Languages : en
Pages : 164

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Book Description
Mathematics of Computing -- Numerical Analysis.

Constrained Chebyshev Approximations to Some Elementary Functions Suitable for Evaluation with Floating-point Arithmetic

Constrained Chebyshev Approximations to Some Elementary Functions Suitable for Evaluation with Floating-point Arithmetic PDF Author: Paul Manos
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 76

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Book Description
Approximations which can be evaluated with precision using floating-point arithmetic are presented. The particular set of approximations thus far developed are for the function TAN and the functions of USASI FORTRAN excepting SQRT and EXPONENTIATION. These approximations are, furthermore, specialized to particular forms which are especially suited to a computer with a small memory, in that all of the approximations can share one general purpose subroutine for the evaluation of a polynomial in the square of the working argument.

The Computer Engineering Handbook

The Computer Engineering Handbook PDF Author: Vojin G. Oklobdzija
Publisher: CRC Press
ISBN: 9780849308857
Category : Computers
Languages : en
Pages : 1422

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Book Description
There is arguably no field in greater need of a comprehensive handbook than computer engineering. The unparalleled rate of technological advancement, the explosion of computer applications, and the now-in-progress migration to a wireless world have made it difficult for engineers to keep up with all the developments in specialties outside their own. References published only a few years ago are now sorely out of date. The Computer Engineering Handbook changes all of that. Under the leadership of Vojin Oklobdzija and a stellar editorial board, some of the industry's foremost experts have joined forces to create what promises to be the definitive resource for computer design and engineering. Instead of focusing on basic, introductory material, it forms a comprehensive, state-of-the-art review of the field's most recent achievements, outstanding issues, and future directions. The world of computer engineering is vast and evolving so rapidly that what is cutting-edge today may be obsolete in a few months. While exploring the new developments, trends, and future directions of the field, The Computer Engineering Handbook captures what is fundamental and of lasting value.

AEC Technical Information Bulletin

AEC Technical Information Bulletin PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 48

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NASA Technical Note

NASA Technical Note PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 520

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Digital Systems and Applications

Digital Systems and Applications PDF Author: Vojin G. Oklobdzija
Publisher: CRC Press
ISBN: 0849386209
Category : Computers
Languages : en
Pages : 992

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Book Description
New design architectures in computer systems have surpassed industry expectations. Limits, which were once thought of as fundamental, have now been broken. Digital Systems and Applications details these innovations in systems design as well as cutting-edge applications that are emerging to take advantage of the fields increasingly sophisticated capabilities. This book features new chapters on parallelizing iterative heuristics, stream and wireless processors, and lightweight embedded systems. This fundamental text— Provides a clear focus on computer systems, architecture, and applications Takes a top-level view of system organization before moving on to architectural and organizational concepts such as superscalar and vector processor, VLIW architecture, as well as new trends in multithreading and multiprocessing. includes an entire section dedicated to embedded systems and their applications Discusses topics such as digital signal processing applications, circuit implementation aspects, parallel I/O algorithms, and operating systems Concludes with a look at new and future directions in computing Features articles that describe diverse aspects of computer usage and potentials for use Details implementation and performance-enhancing techniques such as branch prediction, register renaming, and virtual memory Includes a section on new directions in computing and their penetration into many new fields and aspects of our daily lives