Closed jwallwork23 closed 6 months ago
It would be nice to have a demo illustrating solving an ODE, i.e., in the Real function space.
I was thinking of just solving
$\frac{du}{dt}=u,\quad u(t)=1,\quad t\in[0,1],$
(which has analytical solution $u(t)=e^t$) using Forward Euler, Backward Euler, and Crank-Nicolson and comparing the results.
[Motivation: a simple example like this would be a good springboard for trying out parallel-in-time methods in Goalie.]
It would be nice to have a demo illustrating solving an ODE, i.e., in the Real function space.
I was thinking of just solving
$\frac{du}{dt}=u,\quad u(t)=1,\quad t\in[0,1],$
(which has analytical solution $u(t)=e^t$) using Forward Euler, Backward Euler, and Crank-Nicolson and comparing the results.
[Motivation: a simple example like this would be a good springboard for trying out parallel-in-time methods in Goalie.]