# Tagged Questions

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### Numerical Integration involving multiple singularities [closed]

I want to solve the following double integral numerically. This integral has singularities in two points. ...
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### NIntegrate and Integrate giving different results for ill-behaved function

I'm trying to integrate the following function with Mathematica 8: $$I(a,b)= \int_0^1 \mathrm{d}x\int_0^1\mathrm{d}y \,\theta(1-x-y) \frac{1}{x a^2-y(1-y)b^2},$$ where $\theta$ is the Heaviside ...
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### a question about singularity in numerical calculation

Suppose I want to numerically calculate a PDE as following $$a\frac{\partial^2}{\partial x^2}f(x)+\frac{b}{x}\frac{\partial }{\partial x}f(x)+c=0, x\in (-1, 1)$$ where $a$, $b$, $c$ are constants. So ...
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### Help numerically solve this non-linear PDE with singularity

I have trouble finding a numerical solution to the partial differential equation below. It seems to be a singularity in the solution somewhere, so I searched online and found that it is suggested to ...
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### How can I make NIntegrate aware of a singularity along a curve, e.g. a circle in a 3D integral?

I am having some trouble trying to get Mathematica to do a numerical integral over three dimensions which contains a singularity of dimension 1, and I would like some pointers to solid resources on ...
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### To deal with infinity in NDSolve

Edit: According to Michael E2's comments, I did a few trail and error, and modify the question so that it uses exactly the same expressions I am having difficulties....
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### How to properly plot with DensityPlot the singularities in a non-trivial phase profile of a function?

Consider as an example the following function: ...
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### Behavior of solution to a ODE near a singular point [closed]

I want to see how the solution to the following ODE looks near z=z0. ...
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### How to avoid NDSolve::ndsz problem (singularity problem)

I have the next model ...
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### Singularity treatment in a simple problem [duplicate]

With a simple search, several posts can be found on treating singularities encountered while using NDSolvefamily of numerical methods. However, most of them involve ...
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### NIntegrate(with singularities) gives different results, which one should I trust?

I am doing an Numerical integral with sigularities. ...
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### Multiple NIntegral with singularity

I need to compute the following integral FF[0]. When evaluating FF[0] Mathematica simply takes too much time. The problem may ...
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### How does Mathematica find a series expansion of expressions containing logarithms when there is a singularity at the expansion point?

I am looking for a good approximation to a function containing logarithms, especially at values close to zero. When I used Mathematica's Series command I found ...
870 views

### How to remove a singularity with WhenEvent

Bellow I have a differential equation which hits a singularity at low values of t. What I want to do is somehow utilize the WhenEvent command in order to replace ...