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Numerical algorithms for problems in analysis and algebra, scientific computation
2
votes
0
answers
127
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Extensions of Euler–Maclaurin formula
There are ways to approximate a sum through integration like the Euler–Maclaurin formula, which requires the function $f(x)$ to be continuous, but there are several ways to extend the formula to funct …
2
votes
0
answers
87
views
Finding a branch cut or a branch point [closed]
Is there a way to find a branch cut or a branch point, through which a curve over a complex function goes, or in general in some region of complex function, say $\ln(f(z))$, using numerical methods or …
0
votes
0
answers
44
views
Complexity of evaluation of analytic functions
Given an analytic function $f(x)$ (say as combination of elementary functions and operators), is it possible to compute $n$ first bits of the value of the function on the whole interval $[a, b]$ insid …