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Time Integration with NodalKernels #5883
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Specifically, BDF2 worked great but there were issues with Crank-Nicolson and the second-order Dirk scheme... |
The error constant (vertical offset of the lines) strongly depends on the test problem and the higher derivatives (in time) of the true solution. So I wouldn't draw too many general conclusions from this one test problem. In that other plot I posted, for example, Crank-Nicolson had the lowest error of the second-order methods: The main drawback of the DIRK scheme is that it requires two solves per timestep, the benefit of the scheme over Crank-Nicolson is that it's L-stable (no ringing on stiff problems). |
Gotcha. Thanks John! |
NodalKernels were introduced in #5815 but they show issues with high order time integration. We need to get that figured out.
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