Exact(1)
After taking a few small (inner) steps with a simple, explicit method (such as direct forward Euler) to damp out the stiff components of the solution, the time derivative is estimated and used in an (outer) Runge Kutta method of arbitrary order.
Similar(59)
We show that the depressions have an inner stepped-profile.
Since both of the variables x and z are updated at each inner step, it seems justified to conclude that a satisfied solution will be obtained after just a few steps.
We show that, with an appropriate choice of inner step size, the time step restriction on the outer time step is similar to the CFL condition for the hyperbolic conservation law.
This shows that the approximate part of our shrinkage formula is also good, and that when the inner step in [11, 12] is chosen to be 5, the numerical experiments are convergent although they did not find a convergence control sequence.
In the developed method, z is replaced by its last state z m and MM technique is employed to add an additional proximal-like penalty at each inner step so as to cancel out the term ||Ax||2 (for more details of MM technique, see [31 33]).
The outer and inner step-by-step transformation was phenomenal to observe and capture.
Focus Phrases carry the power to strongly encourage that one natural, effortless inner step.
It is this fundamental inner step that I hope to make in the coming year.
What if we all took an inner step back and looked for a higher or better solution?
Repeat this inner loop steps until a predefined number of consecutive inner iterations fail to obtain improvement or the inner loop iteration counter exceeds a predefine maximum number.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com