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For questions pertaining to methods to estimate input parameters based upon output data.
6
votes
Accepted
pointwise vs. continuous observations in PDE inverse problem
The measurements of this field are often spotty and missing chunks; why interpolate to get a continuous field of dubious fidelity if that can be avoided?
You're perfectly right - most of the time …
5
votes
Accepted
adjoint method for reaction-diffusion problem
Some remarks:
Notation: $[t_1,t_2]$: the time interval; $\Omega$: the spatial domain; $\bar{u}^i(x)$: the known tumour profile at $t_i$; $\left\| \cdot \right\|_\Omega$: a suitably chosen norm on $\O …