Numerical Methods in Scientific Computing

Volume 1

Author: Germund Dahlquist,Åke Björck

Publisher: SIAM

ISBN: 0898717787

Category: Numerical analysis

Page: 717

View: 3193


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.

Numerical Computation 1

Methods, Software, and Analysis

Author: Christoph W. Ueberhuber

Publisher: Springer Science & Business Media

ISBN: 9783540620587

Category: Mathematics

Page: 474

View: 7280


This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.

Numerical Recipes in FORTRAN 77: Volume 1, Volume 1 of Fortran Numerical Recipes

The Art of Scientific Computing

Author: William H. Press,Saul A. Teukolsky,Brian P. Flannery,William T. Vetterling

Publisher: Cambridge University Press

ISBN: 9780521430647

Category: Mathematics

Page: 1010

View: 8002


As with Numerical Recipes in C, the FORTRAN edition has been greatly revised to make this edition the most up to date handbook for those working with FORTRAN. Between both editions of Numerical Recipes, over 300,000 copies have been sold.

Numerical Analysis

Mathematics of Scientific Computing

Author: David Ronald Kincaid,Elliott Ward Cheney

Publisher: American Mathematical Soc.

ISBN: 0821847880

Category: Mathematics

Page: 788

View: 4991


This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.

Scientific Computing with MATLAB

Author: Alfio Quarteroni,Fausto Saleri

Publisher: Springer Science & Business Media

ISBN: 9783540443636

Category: Science

Page: 257

View: 6593


This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how tonbsp;compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for thenbsp;solution of differential equations. To make the presentation concrete and appealing, the programming environmentnbsp;Matlab is adopted as a faithful companion. All the algorithms introduced throughout the booknbsp;are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problemsnbsp;raised through exercises and examples, oftennbsp;originating from specific applications. A specific section is devotednbsp;to subjectsnbsp;which were not addressed in the book andnbsp;indicatenbsp;the bibliographical references for a more comprehensive treatment of the material. nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;

Computer Algebra in Scientific Computing CASC’99

Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31 – June 4, 1999

Author: Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov

Publisher: Springer Science & Business Media

ISBN: 3642602185

Category: Computers

Page: 511

View: 9916


The development of powerful computer algebra systems has considerably ex tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics.

An Introduction to Computational Engineering with Matlab

Author: Xin-She Yang

Publisher: Cambridge Int Science Publishing

ISBN: 1904602525

Category: Computers

Page: 270

View: 916


This book strives to provide a concise introduction to computational engineering by introducing a wide range of numerical methods commonly used, such as finite difference methods, finite volume methods, finite element methods, and virtual bee algorithms. (Computer Books)

Scientific Computing in Electrical Engineering

Author: Angelo Marcello Anile,Giuseppe Alì,G. Mascali

Publisher: Springer Science & Business Media

ISBN: 3540328629

Category: Technology & Engineering

Page: 460

View: 8045


This book is a collection of papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sicily, in 2004. The series of SCEE conferences aims at addressing mathematical problems which have a relevancy to industry. The areas covered at SCEE-2004 were: Electromagnetism, Circuit Simulation, Coupled Problems and General mathematical and computational methods.

Precise Numerical Methods Using C++

Author: Oliver Aberth

Publisher: Academic Press

ISBN: 9780120417506

Category: Mathematics

Page: 238

View: 1845


This book explains how precise numerical analysis is constructed with C++. Included is a CD-ROM which contains executable Windows 95 programs for the PC and which demonstrates how these programs can be used to solvetypical problems of elementary numerical analysis with precision. The book also provides exercises which illustrate points from the text and references for the methods presented. . Ordinary differential equation solver demos . Numerical integration demos . Polynomial root finder demos . Complete demo C++text files . Book explains all methods demos use This book is an excellent choice as a text for a course in numerical analysis for advanced undergraduate or graduate students. It is also an invaluable reference for anyone concerned with precise numerical solutions to common engineering problems.

Guide to Information Sources in Mathematics and Statistics

Author: Martha A. Tucker,Nancy D. Anderson

Publisher: ABC-CLIO

ISBN: 0313053375

Category: Language Arts & Disciplines

Page: 368

View: 7716


This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.