symbolic and automatic differentiation & code generation · t5 = tll = t12 t18 t19 t21 = t22...
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Symbolic and Automatic Differentiation & Code Generation
!Doug James
Motivation: Bending Force
Now take a second derivative!
Symbolic math tools
• Useful for differentiation & optimized code gen.
• Examples:
• Maple
• Matlab
• Mathematica
• ...
Motivation 2: Newton-Schulz Iteration
• See whiteboard
Example 1Evaluate the algebraic expression
where
Example 1
Example 1
Example 2
Example 2
Doh!Doh!
Doh!Doh!
Doh!
Doh!
Example 3: Newton-Schulz Iteration
• See code
Example 4: Neo-Hookean material
Example 4: Neo-Hookean material
Example 4: Ogden material
See code output(!)
Automatic Differentiation: Many compilers available
Automatic Differentiation: Many compilers available
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