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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

3 votes
3 answers
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Error analysis of implicit functions

I'm trying to do propagation of error using the linearized variance method (assuming independent variables, thus no need for the covariance terms): $$\sigma^2_f = \sum^n_{k=0} \left(\frac{\partial f} …
0 votes

Error analysis of implicit functions

Actually, I figured it out with a stoke of luck last night. I was so set on using an implicit function that I forgot the rest of the implications that go along with that. The Implicit Function Theore …
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