Forward, tangent linear, and adjoint Runge–Kutta methods for stiff chemical kinetic simulations

DOI10.1080/00207160802676562zbMath1202.65090OpenAlexW2137141110MaRDI QIDQ3056383

Adrian Sandu, Philipp Miehe

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802676562

zbMATH Keywords

numerical experimentsRunge-Kutta methodssparsityadjoint sensitivity analysisatmospheric chemistrydirect decoupled sensitivity analysislarge chemical systemstiff chemical kinetics

Mathematics Subject Classification ID

Related Items (4)

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Uses Software

• ODESSA
• VODE
• RODAS
• LSODE

Cites Work

• Unnamed Item
• Runge-Kutta methods in optimal control and the transformed adjoint system
• Solving Ordinary Differential Equations I
• Algorithm 658
• VODE: A Variable-Coefficient ODE Solver
• Global Error versus Tolerance for Explicit Runge-Kutta Methods
• Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
• A Limited Memory Algorithm for Bound Constrained Optimization
• On the Properties of Runge-Kutta Discrete Adjoints
• Forward, Tangent Linear, and Adjoint Runge-Kutta Methods in KPP–2.2

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