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Summary: Numerically Exact Derivative Calculations
Using Hyper-Dual Numbers
Jeffrey Fike
Aerospace Design Lab
Stanford University
Seoul National University - Stanford University
3rd
Annual Student Joint Workshop
Simulation-Based Engineering and Design
June 18, 2009
Introduction
Development of a new method for
numerically calculating derivatives
Motivated by the need for an accurate,
easy to implement, second derivative
calculation method
Uses what I call "Hyper-Dual" numbers
Produces numerically exact derivatives
Comparison of Methods
There are many different methods for
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