Johnston R.L. Numerical methods: a software approach

Academic Press, 2008. - 272 pages. Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. · Clearer, simpler descriptions and explanations of the various numerical methods · Windows based software · Two new types of numerical problems; accurately solving partial differential equations...

Society for Industrial and Applied Mathematics, 1998. - 332 pages. Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations....

John Wiley & Sons, 2008, 482 p. , second edition. Authored by one of the world's leading authorities on numerical methods, this update of one of the standard references on numerical analysis outlines recent developments in the field and presenting a detailed overview of the area. The only book to provide both a detailed treatment of Runge-Kutta methods and a thorough exposition of general linear methods, it also provides practical guidance o...

Society for Industrial Mathematics, 2008. - 475 pages. 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, elementa...

Книги по программированию вычислений и вычислительным алгоритмам из серии Dr. Dobb’s Essential Books Fundamentals of Numerical Computing, by L. F. Shampine, R.C. Allen, S. Pruess. Computing for Scientists and Engineers, by William J. Thompson. Accuracy and Stability of Numerical Algorithms, by Nicholas J. Higham. Numerical Methods for Real-time and Embedded Systems, by Don Morgan Scientific Computing with PCs by John C. and Mary M. Nash, Compact...

Thomson Brooks/cole, 2003, 802 pp. , 3rd ed. This book emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Readers learn why the numerical methods work, what type of errors to expect, and when an application might lead to difficulties. The authors also provide information about the availability of high-quality software for numerical approximation...

Prentice Hall, 1977. - 270 Pages. This book evolved from a set of notes used in introductory numerical methods courses at Stanford University, the University of New Mexico and the University of Waterloo. These universities have two such courses, titled something like "Numerical Computing" and "Numerical Analysis". The numerical computing course is for students of science and engineering who simply want to use numerical methods in their work. It...

McGraw-Hill, 1997. - 443 pages. Scientific Computing presents a broad overview of numerical methods and software for students and professionals in computational-oriented disciplines who need to solve mathematical problems. This clear, well-written text is particularly useful for students of engineering, computer science, and the sciences who want to learn which techniques (and software) are appropriate to use in problem solving.

Taylor & Francis, 1990. - 278 pages. This second edition of Compact Numerical Methods for Computers presents reliable yet compact algorithms for computational problems. As in the previous edition, the author considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. He emphasizes useful applicable methods from various scientific research field...

Chapman and Hall/CRC, 2004. - 240 Pages. Before applying multigrid methods to a project, mathematicians, scientists, and engineers need to answer questions related to the quality of convergence, whether a development will pay out, whether multigrid will work for a particular application, and what the numerical properties are. Practical Fourier Analysis for Multigrid Methods uses a detailed and systematic description of local Fourier k-grid (k=1...