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Sensitivity Analysis Using Parallel ODE Solvers and Automatic Differentiation in C: SensPVODE and ADIC

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Abstract

PVODE is a high-performance ordinary differential equation solver for the types of initial value problems (IVPs) that arise in large-scale computational simulations. Often, one wants to compute sensitivities with respect to certain parameters in the IVP. We discuss the use of automatic differentiation (AD) to compute these sensitivities in the context of PVODE. Results on a simple test problem indicate that the use of AD-generated derivative code can reduce the time to solution over finite difference approximations.

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© 2002 Springer Science+Business Media New York

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Lee, S.L., Hovland, P.D. (2002). Sensitivity Analysis Using Parallel ODE Solvers and Automatic Differentiation in C: SensPVODE and ADIC. In: Corliss, G., Faure, C., Griewank, A., Hascoët, L., Naumann, U. (eds) Automatic Differentiation of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0075-5_26

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  • DOI: https://doi.org/10.1007/978-1-4613-0075-5_26

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6543-6

  • Online ISBN: 978-1-4613-0075-5

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