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For questions about explicit differential equation algorithms, that directly relate the next time step of some variable y to some function of y at the current time step.
5
votes
What is the difference between implicit FEM and explicit FEM?
The terms "explicit" and "implicit" arise in the time discretization, and these terms are already used in the literature on ordinary differential equations (i.e., they are not specific to the finite e …
3
votes
Do Explicit Methods Always Require an Analytical Solution
You are confused about ODEs. You think that in order to solve an ODE, you need to know what $f=y'$ is. But it's the other way around: When you try to model something in the real work, you ask "how doe …
6
votes
ODE: should Euler implicit be more accurate than Euler explicit for a given computational step?
In general, just because method A provides certain guarantees (such as unconditional stability, energy conservation, being symplectic) does not imply that it is more accurate. In fact, a common observ …