# Tagged Questions

Questions on the use of numerical functions NIntegrate and NDSolve.

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### Nested NIntegrate problem

So I've been trying to evaluate the following integral in Mathematica 8.0 Student version: ...
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### Integral of integral — it takes too much time

When I evaluate the following expression in Mathematica, it takes so much time that I don't want to wait for the evaluation to complete. So I think that there must be a better approach. ...
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### Differential equations with jump conditions

Suppose I want to solve an ODE with a DiracDelta source term. In the following example, DSolve does it correctly while ...
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### System of ODEs specified by large coefficient matrices

What is the best way to call NDSolve for solving a system of differential equations of the form ...
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### Animate the scattering of a Wave Packet

I know mathematica is probably not the best choice for intense numerical integration, but its the only software I know. I would like to create an animation (not real-time, but pre-render the frames)...
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### EventLocator with LSODA?

Is the EventLocator option not compatible with LSODA on NDSolve. Below is what I tried to do ...
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### How could I obtain real numbers for the following integration instead of imaginary ones?

As shown in the following codes, ...
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### How could I get the value of y[t] at each specific interpolation point?

sol = NDSolve[{Derivative[2][y][t] + Sin[y[t]] == 0, Derivative[1][y][0] == 0, y[0] == 1}, y, {t, 0, 2}] the above-mentioned differential equations can be solved ...
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### How can I get the value of a at “t=2.4985352432136567” in the following expression?

By running the following code: ...
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### Nested NIntegrate

Suppose that we have the given simple integral expression $$\int_{-5}^{5} x \int_{-\infty}^{x} e^{\int_{0}^{z} -y dy} dz dx$$ Writing this out in Mathematica we obtain: ...
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### Problem while solving system of two second order non linear coupled differential equations using NDSolve function

I am a completely new to Mathematica, and I am sorry if this question is dumb. I have to solve a system of two second order non linear coupled differential equations (that I got from the Lagrangian ...
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### Integrating over a region without singularity gives an error indicating the function has singularity in that region

Bug introduced in 8.0.0 or earlier and fixed in 8.0.4 I have the following 2D region over which I want to integrate a function: ...
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### How to avoid this kind of numerical error caused by extreme parameters when using NDSolve?

Here I use a one-dimensional heat conduction equation as the example. I found that when the thermal diffusion coefficient is small enough, Mathematica will give a result against the second law of ...