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Referring to ordinary differential equations that require an extremely small timestep to guarantee numerical stability.

9 votes

Explicit Euler method too slow for reaction-diffusion problem

You seem to be limited by stability, which is expected since diffusion is stiff as you refine the grid. Good methods for stiff systems are at least partly implicit. It will take some effort, but you c …
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The definition of stiff ODE system

Stiffness involves some separation of scales. In general, if you are interested in phase of the fastest mode in the system, then you have to resolve it and the system is not stiff. … The van der Pol oscillator is a common benchmark problem for ODE integrators that has a tunable stiffness paramater. An ocean is another example that is perhaps helpful to visualize. …
Jed Brown's user avatar
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