عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9401707014
(Number (ISBN
9789401707015
NATIONAL BIBLIOGRAPHY NUMBER
Number
b591899
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Algorithms for Elliptic Problems :
General Material Designation
[Book]
Other Title Information
Efficient Sequential and Parallel Solvers
First Statement of Responsibility
by Marián Vajteršic.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht
Name of Publisher, Distributor, etc.
Springer Netherlands
Date of Publication, Distribution, etc.
1993
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(xix, 292 pages)
SERIES
Series Title
Mathematics and Its Applications (East European Series), 58.
CONTENTS NOTE
Text of Note
1 Fast Methods for Solving the Poisson Equation --; 2 Fast Serial Algorithms for Solving Biharmonic Equation --; 3 Parallel Algorithms for Solving Certain Elliptic Boundary Value Problems --; 4 Implementation of Parallel Algorithms on Specialized Computers --; 5 Parallel Multigrid Algorithms --; 6 VLSI Elliptic Solvers.
SUMMARY OR ABSTRACT
Text of Note
This volume deals with problems of modern effective algorithms for the numerical solution of the most frequently occurring elliptic partial differential equations. From the point of view of implementation, attention is paid to algorithms for both classical sequential and parallel computer systems. The first two chapters are devoted to fast algorithms for solving the Poisson and biharmonic equation. In the third chapter, parallel algorithms for model parallel computer systems of the SIMD and MIMD types are described. The implementation aspects of parallel algorithms for solving model elliptic boundary value problems are outlined for systems with matrix, pipeline and multiprocessor parallel computer architectures. A modern and popular multigrid computational principle which offers a good opportunity for a parallel realization is described in the next chapter. More parallel variants based in this idea are presented, whereby methods and assignments strategies for hypercube systems are treated in more detail. The last chapter presents VLSI designs for solving special tridiagonal linear systems of equations arising from finite-difference approximations of elliptic problems. For researchers interested in the development and application of fast algorithms for solving elliptic partial differential equations using advanced computer systems.
TOPICAL NAME USED AS SUBJECT
Computer science.
Electronic data processing.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
by Marián Vajteršic.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Marián Vajteršic
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
