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Results tagged with na.numerical-analysis
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user 61771
Numerical algorithms for problems in analysis and algebra, scientific computation
4
votes
0
answers
229
views
Optimisation over $SO(3)$: is it safe to use a global parametrisation?
I am a functional analyst by training, but I am doing some numerical experiments which require me to minimise continuous functions $f:SO(3)\longrightarrow [0,+\infty)$ using a computer (I know that ea …
- 778
3
votes
Example of a differentiable function optimization where derivative free methods are used
I suppose one general situation where Nelder-Mead might perform better is when the objective function is 'simple' at the length scale of the initial simplex, but is very oscillatory at the 'microscopi …
- 778
1
vote
Accepted
Prove of the shape-derivative identity relating the shape and material derivative of a shape...
The classical material derivative $D\varphi/Dt$ of a test function $\varphi \in C_c^\infty(\mathbb{R}_+\times D)$ is obtained by setting
$$
\dfrac{D\varphi}{Dt}(x) := \dfrac{\partial\tilde\varphi}{\pa …
- 778