On the extension of the complex-step derivative technique to pseudospectral algorithms

Author:

Cerviño Laura I.,Bewley Thomas R.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference8 articles.

1. Numerical differentiation of analytic functions;Lyness;SIAM J. Numer. Anal.,1967

2. J.N. Lyness, Numerical algorithms based on the theory of complex variable, in: Proceedings of the ACM 22nd National Conference, Thomas Book Co., Washington DC, 1967, pp. 124–134

3. Using complex variables to estimate derivatives of real functions;Squire;SIAM Rev.,1998

4. J.C. Newman, W.K. Anderson, D.L. Whitfield, Multidisciplinary sensitivity derivatives using complex variables, Technical report, Engineering Research Center Report, Missisipi State University, mSSU-COE-ERC-98-08, July 1998

5. W.K. Anderson, J.C. Newman, D.L. Whitfield, E.J. Nielsen, Sensitivity analysis for the Navier–Stokes equations on unstructured meshes using complex variables, AIAA Paper 99-3294

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