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

By Shengtai Li, Linda R. Petzold, Wenjie Zhu. 2000

90 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8802ef04c93b550bad99d7ecfd921d7a94af71e8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Linda R. Petzold
2. Shengtai Li
3. Liqun Chen
4. Andrea Mignone
5. Gianluigi Bodo
6. James M. Stone
7. Thomas A. Gardiner
8. René Pinnau

In Computational Theory and Mathematics

1. Liqun Chen

In Numerical Analysis

1. Linda R. Petzold
2. Shengtai Li
3. Clarence W. Rowley
4. René Pinnau

Citations in the corpus

• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution (2002, methodology): “Recent work on methods and software for sensitivity analysis of DAE systems [15, 22, 20, 21, 23] has demonstrated that forward sensitivities can be computed reliably and efficiently via automatic differentiation [8] in combination with DAE solution techniques designed to exploit the structure of the”
• Second order adjoint sensitivity analysis of multibody systems described by differential–algebraic equations (2007, background): “Li, Petzold and Zhu [19] (2000), Cao and Petzold [20] (2002) present adjoint variable methods based on general differential–algebraic equations.”