Parallel interval Newton-like Schwarz methods for almost linear parabolic problems

被引：7

作者：

Schwandt, Hartmut ^{[1
]}

机构：

[1] Tech Univ Berlin, Fak 2, Inst Math, D-10623 Berlin, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 199卷 / 02期

关键词：

almost linear parabolic problems; enclosure methods; nonlinear systems of equations; Newton-like methods; Schwarz alternating procedure; domain decomposition; parallel methods;

D O I：

10.1016/j.cam.2005.07.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce parallel interval Newton-Schwarz-like methods for nonlinear systems of equations arising from discretizations of almost linear parabolic problems. By applying interval techniques, we get global convergence properties and verified enclosures. Parallelism is introduced by domain decomposition. Numerical results from a SGI Altix 3700 are included. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：437 / 444

页数：8

共 50 条

[41] On the convergence of Newton-like methods using restricted domains
Argyros, Ioannis K.
George, Santhosh
NUMERICAL ALGORITHMS, 2017, 75 (03) : 553 - 567
[42] Newton-like methods for efficient solutions in vector optimization
Thai Doan Chuong
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2013, 54 (03) : 495 - 516
[43] Local Convergence for Multistep Simplified Newton-like Methods
Argyros, Ioannis K.
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2008, 40 : 1 - 7
[44] On the convergence of Newton-like methods using restricted domains
Ioannis K. Argyros
Santhosh George
Numerical Algorithms, 2017, 75 : 553 - 567
[45] APPROXIMATING SOLUTIONS OF EQUATIONS BY COMBINING NEWTON-LIKE METHODS
Argyros, Ioannis K.
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (01): : 35 - 45
[46] On a class of Newton-like methods for solving nonlinear equations
Argyros, Ioannis K.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 115 - 122
[47] CONVERGENCE OF NEWTON-LIKE METHODS FOR NONLINEAR-SYSTEMS
BAO, PG
ROKNE, JG
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1992, 329 (04): : 743 - 750
[48] Local convergence of Newton-like methods for generalized equations
Argyros, Ioannis K.
Hilout, Said
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 507 - 514
[49] NEWTON-LIKE METHODS FOR THE COMPUTATION OF FIXED-POINTS
WERNER, W
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1984, 10 (01) : 77 - 86
[50] Newton-like methods for efficient solutions in vector optimization
Thai Doan Chuong
Computational Optimization and Applications, 2013, 54 : 495 - 516

← 1 2 3 4 5 →