How AD can help solve differential-algebraic equations

DOI10.1080/10556788.2018.1428605zbMath1409.65050arXiv1703.08914OpenAlexW2619694490WikidataQ130094273 ScholiaQ130094273MaRDI QIDQ4685567

Xiao Li, Nedialko S. Nedialkov, Guangning Tan, John D. Pryce

Publication date: 9 October 2018

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08914

zbMATH Keywords

differential-algebraic equationsalgorithmic differentiationLagrangiansdummy derivatives

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Related Items (2)

Projected explicit and implicit Taylor series methods for DAEs ⋮ InitDAE: computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python

Uses Software

• ADOL-C
• SUNDIALS
• dcc
• NSDTST
• STDTST
• DAETS

Cites Work

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• SUNDIALS
• Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian
• The Art of Differentiating Computer Programs
• Qualitative features of matrix pencils and DAEs arising in circuit dynamics
• The Consistent Initialization of Differential-Algebraic Systems
• Algorithm 755: ADOL-C
• Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
• Two FORTRAN packages for assessing initial value methods
• A simple structural analysis method for DAEs

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