عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781475722727
(Number (ISBN
9781475722741
NATIONAL BIBLIOGRAPHY NUMBER
Number
b403783
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction to Numerical Analysis
General Material Designation
[Book]
First Statement of Responsibility
by J. Stoer, R. Bulirsch.
EDITION STATEMENT
Edition Statement
Second Edition.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1993.
SERIES
Series Title
Texts in Applied Mathematics,
Volume Designation
12
ISSN of Series
0939-2475 ;
CONTENTS NOTE
Text of Note
1 Error Analysis -- 2 Interpolation -- 3 Topics in Integration -- 4 Systems of Linear Equations -- 5 Finding Zeros and Minimum Points by Iterative Methods -- 6 Eigenvalue Problems -- 7 Ordinary Differential Equations -- 8 Iterative Methods for the Solution of Large Systems of Linear Equations. Some Further Methods -- General Literature on Numerical Methods.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781475722741
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Mathematics.
Numerical analysis.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Stoer, J.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Bulirsch, R.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307154600.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
