Do higher order methods traditionally do better in these settings?
How do we get the forces? Weren't we working with energy before to avoid needing to gather the forces on the system?
I don't think we need to get the forces here to solve the equation.
Similar instabilities arise in the study of n-body simulations (for similar reasons). Here's a link to an example: http://stanford.edu/~nhirning/regularization-issue.html
Do higher order methods traditionally do better in these settings?
How do we get the forces? Weren't we working with energy before to avoid needing to gather the forces on the system?
I don't think we need to get the forces here to solve the equation.
Similar instabilities arise in the study of n-body simulations (for similar reasons). Here's a link to an example: http://stanford.edu/~nhirning/regularization-issue.html