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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2016 Volume 56, Number 11, Pages 1847–1862 (Mi zvmmf10486)

This article is cited in 16 papers

Generalized fast automatic differentiation technique

Yu. G. Evtushenkoa, V. I. Zubovba

a Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, Russia

Abstract: A new efficient technique intended for the numerical solution of a broad class of optimal control problems for complicated dynamical systems described by ordinary and/or partial differential equations is investigated. In this approach, canonical formulas are derived to precisely calculate the objective function gradient for a chosen finite-dimensional approximation of the objective functional.

Key words: optimal control, gradient, approximation of boundary value problem, heat equation, adjoint equations, fast automatic differentiation.

UDC: 519.626

Received: 19.02.2016

DOI: 10.7868/S0044466916110077


 English version:
Computational Mathematics and Mathematical Physics, 2016, 56:11, 1819–1833

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