How AD can help solve differential-algebraic equations-Reference-Cited by-同舟云学术

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How AD can help solve differential-algebraic equations

Published:2018-03-21 Issue:4-6 Volume:33 Page:729-749
ISSN:1055-6788
Container-title:Optimization Methods and Software
language:en
Short-container-title:Optimization Methods and Software

Author:

Pryce John D.¹^ORCID,Nedialkov Nedialko S.²^ORCID,Tan Guangning³,Li Xiao⁴

Affiliation:

1. School of Mathematics, Cardiff University, Cardiff, Wales, UK

2. Department of Computing & Software, McMaster University, Hamilton, Canada

3. Process Systems Engineering Laboratory, Massachusetts Institute of Technology, Boston, USA

4. School of Computational Science and Engineering, McMaster University, Hamilton, Canada

Funder

The Leverhulme Trust

Natural Sciences and Engineering Research Council of Canada

Publisher

Informa UK Limited

Subject

Applied Mathematics,Control and Optimization,Software

Link

https://www.tandfonline.com/doi/pdf/10.1080/10556788.2018.1428605

Reference13 articles.

1. Two FORTRAN packages for assessing initial value methods

2. Algorithm 755: ADOL-C

3. Surfing on the edge: chaos versus near-integrability in the system of Jovian planets

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1. Partial Evaluation of Automatic Differentiation for Differential-Algebraic Equations Solvers;Proceedings of the 22nd ACM SIGPLAN International Conference on Generative Programming: Concepts and Experiences;2023-10-22

2. Hierarchical Structural Analysis Method for Complex Equation-Oriented Models;Mathematics;2021-10-21

3. InitDAE: Computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python;Journal of Computational and Applied Mathematics;2021-05

4. Projected explicit and implicit Taylor series methods for DAEs;Numerical Algorithms;2021-01-29

5. Another Multibody Dynamics in Natural Coordinates through Automatic Differentiation and High-Index DAE Solving;Acta Cybernetica;2020-03-16

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