Design, analysis and testing of some parallel two-step W-methods for stiff systems

被引：16

作者：

Podhaisky, H

Schmitt, BA

Weiner, R ^{[1
]}

机构：

[1] Univ Halle Wittenberg, FB Math & Informat, D-06099 Halle Saale, Germany

[2] Univ Marburg, Fachbereich Math, D-35032 Marburg, Germany

来源：

APPLIED NUMERICAL MATHEMATICS | 2002年 / 42卷 / 1-3期

关键词：

stiff ODEs; parallel methods for ODEs; two-step W-methods;

D O I：

10.1016/S0168-9274(01)00162-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Parallel two-step W-methods are linearly-implicit integration methods where the s stage values can be computed in parallel. We construct methods of stage order q = s and order p = s with favourable stability properties. Generalizations for the concepts of A- and L-stability are proposed and conditions for stiff accuracy are given. Numerical comparisons on a shared memory computer show the efficiency of the methods, especially in combination with Krylov-techniques for large stiff systems. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：381 / 395

页数：15

共 50 条

[41] Design and Evaluation of Two-Step Biorelevant Dissolution Methods for Docetaxel Oral Formulations
Brijesh Shah
Xiaowei Dong
AAPS PharmSciTech, 23
[42] Local convergence analysis of two competing two-step iterative methods free of derivatives for solving equations and systems of equations
Argyros, Ioannis K.
George, Santhosh
MATHEMATICAL COMMUNICATIONS, 2019, 24 (02) : 265 - 278
[43] Design and Evaluation of Two-Step Biorelevant Dissolution Methods for Docetaxel Oral Formulations
Shah, Brijesh
Dong, Xiaowei
AAPS PHARMSCITECH, 2022, 23 (05)
[44] Convergence and numerical analysis of a family of two-step Steffensen's methods
Amat, S
Busquier, S
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) : 13 - 22
[45] Parallel predictor-corrector iteration of pseudo two-step RK methods for nonstiff IVPs
Cong, NH
Mitsui, T
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2003, 20 (01) : 51 - 64
[46] Parallel predictor-corrector iteration of pseudo two-step RK methods for nonstiff IVPs
Nguyen Huu Cong
Taketomo Mitsui
Japan Journal of Industrial and Applied Mathematics, 2003, 20 (1)
[47] A two-step approach to qPCR experimental design and software for data analysis
Huazhang Guo
Larry Tague
Ramesh Ray
Gabor Tigyi
BMC Bioinformatics, 11 (Suppl 4)
[48] General convergence analysis for two-step projection methods and applications to variational problems
Verma, RU
APPLIED MATHEMATICS LETTERS, 2005, 18 (11) : 1286 - 1292
[49] A class of explicit two-step Runge-Kutta methods with enlarged stability regions for parallel computers
Podhaisky, H
Weiner, R
PARALLEL COMPUTATION, 1999, 1557 : 68 - 77
[50] Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations
Bartoszewski, Z.
Jackiewicz, Z.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 220 (1-2) : 257 - 270

← 1 2 3 4 5 →