Generalized fast automatic differentiation technique

DOI10.1134/S0965542516110075zbMath1361.65042OpenAlexW2558317891MaRDI QIDQ518538

V. I. Zubov, Yuri G. Evtushenko

Publication date: 28 March 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516110075

zbMATH Keywords

optimal controlheat equationgradientadjoint equationsfast automatic differentiationapproximation of boundary value problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical differentiation (65D25) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (10)

Identification of the thermal conductivity coefficient using a given surface heat flux ⋮ On simultaneous determination of thermal conductivity and volume heat capacity of substance ⋮ About difference schemes for solving inverse coefficient problems ⋮ About one inverse coefficient problem ⋮ On the uniqueness of identification the thermal conductivity and heat capacity of substance ⋮ Application of the fast automatic differentiation technique for solving inverse coefficient problems ⋮ Choice of finite-difference schemes in solving coefficient inverse problems ⋮ Unnamed Item ⋮ Determination of the thermal conductivity from the heat flux on the surface of a three-dimensional body ⋮ Identification of thermal conductivity coefficient using a given temperature field

Uses Software

• dcc

Cites Work

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• Computation of exact gradients in distributed dynamic systems

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