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

[1] SOLVING DISTILLATION PROBLEMS BY NEWTON-LIKE METHODS
VENKATARAMAN, S
LUCIA, A
COMPUTERS & CHEMICAL ENGINEERING, 1988, 12 (01) : 55 - 69
[2] ON NEWTON-LIKE METHODS
DENNIS, JE
NUMERISCHE MATHEMATIK, 1968, 11 (04) : 324 - &
[3] Newton-like methods for solving vector optimization problems
Lu, Fang
Chen, Chun-Rong
APPLICABLE ANALYSIS, 2014, 93 (08) : 1567 - 1586
[4] ON THE DISCRETIZATION OF NEWTON-LIKE METHODS
ARGYROS, IK
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1994, 52 (3-4) : 161 - 170
[5] ANALYSIS OF NEWTON-LIKE METHODS
DENNIS, JE
OPERATIONS RESEARCH, 1975, 23 : B264 - B264
[6] NEWTON-LIKE METHODS WITH LIMITED STORAGE, FOR THE SOLUTION OF ELASTOVISCOPLASTICITY PROBLEMS
REED, MB
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 35 (02) : 223 - 240
[7] Newton-like and inexact Newton-like methods for a parameterized generalized inverse eigenvalue problem
Dalvand, Zeynab
Hajarian, Masoud
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 4217 - 4234
[8] NEWTON-LIKE INEQUALITIES FOR LINEAR COMBINATIONS
Bautista-Ramos, Cesar
Guillen-Galvan, Carlos
Gomez-Salgado, Paulino
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2025, 28 (01): : 95 - 95
[9] ON THE CONVERGENCE OF INEXACT NEWTON-LIKE METHODS
ARGYROS, IK
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1993, 43 (1-2): : 79 - 85
[10] ON THE CONVERGENCE OF A CLASS OF NEWTON-LIKE METHODS
POTRA, FA
LECTURE NOTES IN MATHEMATICS, 1982, 953 : 125 - 137

← 1 2 3 4 5 →