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Results tagged with singularity
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user 8928
Questions involving expressions that assume infinite values within the computational range; often associated with NDSolve, NIntegrate, etc.
14
votes
2
answers
938
views
Extending NDSolve beyond a singularity
The $\tan$ function satisfies the following IVP:
$$y'=1+y^2 ,\quad y(0)=0 $$
and has simple poles at the points $x=\pi/2+ \pi n$ for integer $n$.
When trying to get $\tan$ via numerical integration …
- 1,088
8
votes
1
answer
488
views
Using NDSolve on the Painlevé equations
$\begin{align*}u'&=v, \\ v'&=6u^2+t,\end{align*}$$
NDSolve couldn't integrate beyond the poles (with the error: NDSolve::ndsz: At t == -1.25774722466261350439119698118, step size is effectively zero; singularity …
- 1,088