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| Author | : E. J. Hinch |
| Publisher | : Cambridge University Press |
| Total Pages | : 243 |
| Release | : 2020-04-30 |
| Genre | : Mathematics |
| ISBN | : 1108479545 |
This guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.
| Author | : J. Stoer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 674 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475722729 |
On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.
| Author | : Richard Wesley Hamming |
| Publisher | : |
| Total Pages | : 444 |
| Release | : 1962 |
| Genre | : Electronic digital computers |
| ISBN | : |
| Author | : Forman S. Acton |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 580 |
| Release | : 2020-07-31 |
| Genre | : Mathematics |
| ISBN | : 147045727X |
| Author | : Uri M. Ascher |
| Publisher | : SIAM |
| Total Pages | : 574 |
| Release | : 2011-07-14 |
| Genre | : Mathematics |
| ISBN | : 0898719976 |
Offers students a practical knowledge of modern techniques in scientific computing.
| Author | : Justin Solomon |
| Publisher | : CRC Press |
| Total Pages | : 400 |
| Release | : 2015-06-24 |
| Genre | : Computers |
| ISBN | : 1482251892 |
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig
| Author | : Germund Dahlquist |
| Publisher | : SIAM |
| Total Pages | : 742 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898717787 |
This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
| Author | : Kendall Atkinson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 583 |
| Release | : 2007-06-07 |
| Genre | : Mathematics |
| ISBN | : 0387287698 |
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.
| Author | : Robert M. Corless |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 896 |
| Release | : 2013-12-12 |
| Genre | : Mathematics |
| ISBN | : 1461484537 |
This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.
| Author | : LEVEQUE |
| Publisher | : Birkhäuser |
| Total Pages | : 221 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3034851162 |
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
