# Questions tagged [numerics]

Questions on the numerical functions of Mathematica, implementing numerical methods and numerical computing with Mathematica.

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### Singularity error. What is actually causing the problem here?

I am solving the equation of motion for a nonlinear oscillator. At values of $\nu$ greater than $\approx 0.408$, this list stop plotting, giving an error like this (for ...
666 views

### Derivative of contour in ContourPlot

Sorry to bring this question up again, since there are many similar questions on the site. I use to think this is a easy job to do, because for the worst case I can follow the answers on this site. ...
685 views

3k views

### How can I invert a Laplace transform numerically?

I have a very complicated expression, which I want to transform using the inverse Laplace transform. The built-in function InverseLaplaceTransform doesn't work. So,...
591 views

### Dynamic, nonlinear, damped Euler–Bernoulli beam equation

I would like to solve the 3 coupled PDEs describing a damped, nonlinear (i.e displacements in the $x$ direction along the beam need to be considered along with the $y$ displacements normally ...
411 views

### Integrate and NIntegrate disagreeing over branch cut of Sqrt?

Bug introduced after 8.0.4 and before 9.0.1, and fixed in 11.1.0. In Mathematica 10.2 I'm trying to integrate this piecewise continuous function, but Integrate and ...
2k views

### NIntegrate receiving a function with NumericQ which returns a list

Can some one please explain why ...
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### RootSearch for complex or multiple equations

First the background. I'm trying to solve for the roots of a rather messy complex equation. This is not the exact equation, but it's a decent (simpler) stand in: ...
173 views

### Problem with Binomial numerical computation

Using Mathematica 10.4.1.0 I have a problem with Binomial on numerical computations. Both of the following correctly return 1.0 as the result: ...
180 views

### Has “faster arbitrary precision computation of elementary functions” been incorporated into Mathematica?

In this Wolfram Conference talk from last year, "Faster Arbitrary Precision Computation of Elementary Functions", they talk about R&D for algorithms to numerically evaluate elementary functions ...
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### Implementation of Incomplete Fermi-Dirac Integral in Mathematica

I'm working on a special algorithm to implement a more accurate effective mass calculation for hole carriers in silicon in Mathematica. This rather involved algorithm uses incomplete Fermi-Dirac ...
278 views

### Comparing exact expressions for equality — is it really OK if I get wrong answer?

Bug introduced in 7.0 or earlier and fixed in 10.2.0 I found an unexpected behavior (that I think of as a bug) in evaluation of the equality operator applied to mathematical functions with exact ...
120 views

### Ordering real numeric quantities

Suppose I want to have a function (call it NLess) that given two real numeric quantities, a and b, it returns True if a is smaller than b, ignoring precision. Here are some test cases: ...
161 views

### Dividing by Zero - Unexpected Result [closed]

When I divide this number by zero I get this for an answer. ans = 2345900/0 (* *) What is surprising is that in taking the square root, Mathematica seems to ...
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### How to display very small numbers in Mathematica?

I am trying to evaluate the function: $$f(x) = \cos(x) - \mathrm{e}^{-2.7 x}$$ at $x = 1.7 \times 10^{-25}$ and Mathematica keeps returning '0.' How do I evaluate the expression in a better way?