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- W2893153208 abstract "Efficient analytical sensitivity computations are essential elements of gradient-based optimization schemes; unfortunately, they can be difficult to implement. This implementation issue is often resolved by adopting the semi-analytical method which exhibits the efficiency of the analytical methods and the ease of implementation of the finite difference method. However, care must be taken as semi-analytical sensitivities may exhibit errors due to truncation and round-off. Additional errors are introduced if the convergence tolerance of the primal analysis is not sufficiently small. This paper gives a general overview and some new developments of the analytical and semi-analytical sensitivity analyses for nonlinear steady-state, transient, and dynamic problems. We discuss the restrictive assumptions, accuracy, and consistency of these methods. Both adjoint and direct differentiation methods are studied. Numerical examples are provided." @default.
- W2893153208 created "2018-10-05" @default.
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- W2893153208 date "2018-09-28" @default.
- W2893153208 modified "2023-09-24" @default.
- W2893153208 title "Semi-analytical sensitivity analysis for nonlinear transient problems" @default.
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- W2893153208 doi "https://doi.org/10.1007/s00158-018-2096-y" @default.
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