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Numerical Computation 1 : Methods, Software, and Analysis - Christoph W. Ueberhuber

Numerical Computation 1

Methods, Software, and Analysis

Paperback Published: 27th February 1997
ISBN: 9783540620587
Number Of Pages: 474

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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.

"The two volumes can be highly recommended for newcomers in the area as well as for people working for a long time in or with computer numerics." - EUROSIM - Simulation News Europe

..".This book is highly recommended to students, scientists, and engineers interested in the numerical solution of mathematical problems. It is very useful as a handbook for both newcomers and experts. Every science/engineering-/mathematics/computer science library should have a copy of this book."--MATHEMATICAL REVIEWS

Scientific Modelingp. 1
Fundamental Principles of Numerical Methodsp. 9
Computers for Numerical Data Processingp. 68
Numerical Data and Numerical Operationsp. 106
Numerical Algorithmsp. 172
Numerical Programsp. 219
Available Numerical Softwarep. 272
Using Approximation in Mathematical Model Buildingp. 308
Interpolationp. 353
Glossary of Notationp. 440
Bibliographyp. 443
Author Indexp. 460
Subject Indexp. 466
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540620587
ISBN-10: 3540620583
Series: Numerical Computation 1 Vol. XVI
Audience: General
Format: Paperback
Language: English
Number Of Pages: 474
Published: 27th February 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.72 x 15.62  x 2.95
Weight (kg): 0.74