Numerical Computation 1: Methods, Software, and Analysis: XVI (Numerical Computation 1 Vol. XVI) - Softcover

Ueberhuber, Christoph W.

Softcover

ISBN 10: 3540620583 ISBN 13: 9783540620587

Publisher: Springer, 1997

Synopsis

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.

About this title

Review

"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

Synopsis

This book is the first part of a modern, two-volume introduction to numerical computation, which strongly emphasizes software aspects. It can serve as a textbook for courses on numerical analysis, particularly for engineers. The book can also be used as a reference book and it includes an extensive bibliography. The author is a well-known specialist in numerical analysis who was involved in the creation of the software package QUADPACK.

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 3540620583
• ISBN 13: 9783540620587
• Binding: Paperback
• Number of pages: 490