Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem

被引：54

作者：

Li, ST

Petzold, L ^{[1
]}

Zhu, WJ

机构：

[1] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA

[2] Univ Minnesota, Dept Comp Sci, Minneapolis, MN 55455 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2000年 / 32卷 / 02期

关键词：

differential-algebraic equations; sensitivity analysis; automatic differentiation;

D O I：

10.1016/S0168-9274(99)00020-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compare several methods for sensitivity analysis of differential-algebraic equations (DAEs). Computational complexity, efficiency and numerical conditioning issues are discussed. Numerical results for a chemical kinetics problem arising in model reduction are presented. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：161 / 174

页数：14

共 50 条

[41] Partial Evaluation of Automatic Differentiation for Differential-Algebraic Equations Solvers
Eriksson, Oscar
Palmkvist, Viktor
Broman, David
PROCEEDINGS OF THE 22ND ACM SIGPLAN INTERNATIONAL CONFERENCE ON GENERATIVE PROGRAMMING: CONCEPTS AND EXPERIENCES, GPCE 2023, 2023, : 57 - 71
[42] Improved structural methods for nonlinear differential-algebraic equations via combinatorial relaxation†
Oki, Taihei
IMA JOURNAL OF NUMERICAL ANALYSIS, 2023, 43 (01) : 357 - 386
[43] DISCONTINUITY PROPAGATION IN DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS
Unger, Benjamin
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2018, 34 : 582 - 601
[44] Specialized Runge-Kutta methods for index 2 differential-algebraic equations
Jay, LO
MATHEMATICS OF COMPUTATION, 2006, 75 (254) : 641 - 654
[45] Improved Structural Methods for Nonlinear Differential-Algebraic Equations via Combinatorial Relaxation
Oki, Taihei
PROCEEDINGS OF THE 2019 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC '19), 2019, : 315 - 322
[46] Feedback and Impulse Behavior of Differential-Algebraic Equations
A. A. Shcheglova
Mathematical Notes, 2021, 110 : 592 - 608
[47] On criteria for asymptotic stability of differential-algebraic equations
Stykel, T
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2002, 82 (03): : 147 - 158
[48] Index characterization of differential-algebraic equations in hybrid analysis for circuit simulation
Takamatsu, Mizuyo
Iwata, Satoru
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2010, 38 (04) : 419 - 440
[49] GEOMETRIC ANALYSIS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS VIA LINEAR CONTROL THEORY
Chen, Yahao
Respondek, Witold
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (01) : 103 - 130
[50] Conversion methods for improving structural analysis of differential-algebraic equation systems
Guangning Tan
Nedialko S. Nedialkov
John D. Pryce
BIT Numerical Mathematics, 2017, 57 : 845 - 865

← 1 2 3 4 5 →