eusoubrasileiro/geonumerics

Explicity 2D find convergence and document it also

eusoubrasileiro opened this issue · 4 comments

Rewrite the code and clean it up.

Code re-written just missing final steps for convergence. Submit question to stack exchange math for 2 order space... 4 order space should come after soon.

Question sent to scicomp and math stack exchange, no answer so far. But found answer in Jing-Bo Cheen article for n'th order of centered differences in space. Documented in *.tex and code.
Implementation though is not working as expected based on Jing-Bo Cheen 2D criteria.

Implementation is working now. Convergence known by Cheen and Alford paper 4th order.
Though http://math.stackexchange.com/questions/391825/von-newman-stability-analysis-for-2d-acoustic-wave-equation-explicit still needs to be answered by you.
You started the math so finish it to the known result.

Answered. Though could not reach general formula using complex inequalities. Deleted math question no upvote in it, answered in scicomp.