The explicit-methods tag has no wiki summary.
1
vote
1answer
60 views
Stability of forward euler method
I am trying to understand the stability of the forward Euler method. I read there's a model problem to see the stability.
$$y'(t) = \lambda y(t) \qquad t \in (0, \infty)$$
$$y(0) = 1$$
then the book ...
9
votes
4answers
280 views
Runge-Kutta and Reusing Datapoints
I am trying to implement the fourth order Runge-Kutta method for solving a first order ODE in Python i.e. $\frac{dy}{dx} = f(x,y)$. I understand how the method works, but am trying to write an ...
5
votes
2answers
210 views
How can I reduce the communication bottleneck of a parallel explicit finite difference scheme?
Suppose i was trying to solve a parabolic PDE (heat equation) on a rectangular domain using an explicit finite difference scheme. I am storing my solution vector in a matrix form (because it closely ...
10
votes
1answer
289 views
When should implicit methods be used in the integration of hyperbolic PDEs?
Numerical methods for solving PDEs (or ODEs) fall into two broad categories: explicit and implicit methods. Implicit methods allow larger stable timesteps but require more work per step. For ...
