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Summary: The Development of Hyper-Dual Numbers
for Exact Second-Derivative Calculations
Jeffrey A. Fike and Juan J. Alonso
Department of Aeronautics and Astronautics
Stanford University
49th
AIAA Aerospace Sciences Meeting
January 4, 2011
Outline
What are Hyper-Dual Numbers?
Why use Hyper-Dual Numbers?
Implementation of Hyper-Dual Numbers and
Demonstration of Hyper-Dual Calculations
CFD Results using Hyper-Dual Numbers
Cost of using Hyper-Dual Numbers
Extensions and Alternative Formulations
Outline
What are Hyper-Dual Numbers?
Why use Hyper-Dual Numbers?
Implementation of Hyper-Dual Numbers and
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