# Questions tagged [numerical-modelling]

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### Educational Purpose: How to synchronize chaotic systems

The graph plots the X coordinate of the synchronized Lorenz chaotic system. I am self learning by reading research articles on how to synchronize identical chaotic systems. But as seen from the figure,...
204 views

### Roadmap for Career Transition to Computational Science

What sort of path should I follow to make a the transition from high school physics to computational science? Context 15 years teaching experience in physics and general science. Maths is currently ...
1 vote
111 views

### Best finite difference scheme in 2D for the mixed derivative

The are good methods to deduce finite difference schemes for derivatives of functions of one variable. But how to get a good one for the mixed derivative of a function of two variables $u=u(x,y)$, ...
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### Looking for non-trivial examples of solutions to 3D wave equations?

We have developed a (new) numerical scheme to solve the classical wave equation in 3 dimensions and we aim to publish the results. We can read in the aim and scope of the journal of computational and ...
1 vote
67 views

### A direct numerical method for determining a relaxation function from a known creep function

Both the creep function and the relaxation function are connected by the convolution integral. The usual method for calculating the relaxation function from a creep function or vice versa is to ...
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### How do you handle the singularity in polar or cylindrical coordinates?

Governing equations in polar or cylindrical coordinates often have terms with $\frac{1}{r}$ involved. At $r = 0$, such terms blow up to become a "singularity." The Cartesian version of such ...
I have a set of coupled ODEs that I'm solving numerically. The independent variable is time and runs from values of $10^{15}$ to $10^{17}$ in units of seconds. The state variables in their usual ...