Efficient sensitivity analysis of large-scale differential-algebraic systems

DOI10.1016/S0168-9274(97)00050-0zbMath0884.65086OpenAlexW1967773574MaRDI QIDQ1369209

William F. Feehery, Paul I. Barton, John E. Tolsma

Publication date: 12 March 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00050-0

zbMATH Keywords

sensitivity analysisdifferential-algebraic systemspreconditionernumerical experimentbackward differentiation formula methodBDF methodstaggered corrector method

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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Uses Software

• MA48
• ODESSA
• DASSL

Cites Work

• A distributed memory parallel algorithm for the efficient computation of sensitivities of differential-algebraic systems
• Numerical methods and software for sensitivity analysis of differential-algebraic systems
• The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations
• Second-order design sensitivity analysis of mechanical system dynamics
• The design of MA48
• Efficient Calculation of Sparse Jacobians
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