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Searching for "The complex-step derivative approximation." – sorted by Relevance.

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11 documents found, showing 1 through 10. Next 10 →

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The Connection Between The Complex-Step Derivative Approximation And Algorithmic Differentiation
by Joaquim R. R. A. Martins, Peter Sturdza, Juan J. Alonso — 2001
…AIAA-2001-0921 THE CONNECTION BETWEEN THE COMPLEX-STEP DERIVATIVE APPROXIMATION AND ALGORITHMIC…
Cited by 6 (4 self) – Add To MetaCart

The complexstep derivative approximation
by Joaquim R. R. A. Martins, Peter Sturdza, Juan J. Alonso — ACM Transactions on Mathematical Software
…The Complex-Step Derivative Approximation JOAQUIM R. R. A. MARTINS University of Toronto Institute…
Cited by 13 (4 self) – Add To MetaCart

A Coupled-Adjoint Sensitivity Analysis Method for High-Fidelity Aero-Structural Design
by Joaquim R. R. A. Martins, Juan J. Alonso, James J. Reuther — 2005 — Optimization and Engineering
… by the complex-step derivative approximation. The coupled-adjoint procedure is shown to yield very accurate…
Cited by 6 (5 self) – Add To MetaCart

A Coupled-Adjoint Method for High-Fidelity Aero-Structural Optimization
by Joaquim R. R. A. Martins, R. R. A. Martins, Juan J. Alonso, Ilan M. Kroo, Antony Jameson, José Ávila Martins — 2002
… given by the complex-step derivative approximation and finite differences. The proposed method is shown…
Cited by 10 (4 self) – Add To MetaCart

A Coupled-Adjoint Method For High-Fidelity
by Aero-Structural Optimization And, R. R. A. Martins, Juan J. Alonso, Ilan M. Kroo, Antony Jameson, José Ávila Martins — 2002
… given by the complex-step derivative approximation and finite differences. The proposed method is shown…
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Aero-Structural Wing Design Optimization Using High-Fidelity Sensitivity Analysis
by Joaquim R. R. A. Martins, Juan J. Alonso, James Reuther — 2001 — In Proceedings — CEAS Conference on Multidisciplinary Aircraft Design Optimization
…-adjoint method are validated by comparison with finite-differences and complex-step derivative approximations…
Cited by 5 (4 self) – Add To MetaCart

An Automated Method For Sensitivity Analysis Using Complex Variables
by Joaquim R. R. A. Martins, Ilan M. Kroo, Juan J. Alonso — 2000 — AIAA paper 2000-0689, 38th Aerospace Sciences Meeting
… the complex-step derivative approximation, demonstrate its advantages in computing sensitivities and provide a…
Cited by 11 (7 self) – Add To MetaCart

Adjoint: An approach for rapid development of discrete adjoint solvers
by Charles A. Mader, Joaquim R. R. A. Martins, Juan J. Alonso, Edwin Van Der Weide — 2006 — In Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
… [21]. In this approach, the complex-step derivative approximation [22] is used to compute the partial…
Cited by 2 (2 self) – Add To MetaCart

5.4 Algorithmic Differentiation
by Mode Or Backward
… through. This is very similar to the way the complex-step method works. To illustrate this, suppose we…
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AN AERODYNAMIC DESIGN METHOD FOR SUPERSONIC NATURAL LAMINAR FLOW AIRCRAFT
by Ilan M. Kroo, Juan J. Alonso — 2003
… . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 E Complex-Step Derivative Approximation Method 160 E.1 Derivation…
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