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eusoubrasileiro / geonumerics

Numerical tools for geology and geophysics (Python and C tools) G&G sandbox
http://numericalearth.blogspot.com.br/
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Explicity 2D find convergence and document it also #9

Closed eusoubrasileiro closed 9 years ago

eusoubrasileiro commented 9 years ago

Rewrite the code and clean it up.

eusoubrasileiro commented 9 years ago

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.

eusoubrasileiro commented 9 years ago

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.

eusoubrasileiro commented 9 years ago

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.

eusoubrasileiro commented 9 years ago

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