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### Error control and sequence acceleration at the same time

In a posteriori error control for solving ODEs, one typically computes two different approximate solutions, one of which being "more accurate" and one of which being "less accurate". If $y_q^{n+1}$ is ...
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### Processing time steps in chunks with Fortran [closed]

My PDE simulation program written in Fortran has to make about 2 million variable time steps. But with each time step it slows down more and more, so that if it initially makes 1000 time steps per ...
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### ODE adaptive time stepping: is it bad to use “timescales of change” to select timestep size

Suppose you want to approximately solve a system of ODEs, using some numerical method (Euler, RK, BDF, whatever): $\frac{du}{dt} = f(u)$ To do this you need to select time steps which solve the ODEs ...
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### Wanted: smoothing time domain transform

Let $A$ be a finite (and small-ish) set of positive real numbers and 0. Let $B$ be a subset of $\mathbb N^0$, up to some (small-ish) bound. I have a function $f(t)$, $A \rightarrow B$ that is ...
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### How to make a time-parametrization slower around a point but not too slow?

For animation purposes (see below) I need to use a parametrization which 'slows down' near a specific value; More precisely, I am looking for a 'nice' monotonically increasing function \$r:[0,1] \to [...
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### Implementing adaptive timestepping in CUDA

I want to implement a CUDA solver for the 2D shallow water equations using adaptive timestepping with a Courant number fixed by the user. The algorithm pseudocode looks something like this: ...