Earlier it was considered that frozen coefficients method for Neumann stability analysis for finite difference scheme is more heuristic than rigorous. But I have read some information in a book by Gustafsson,Kreiss,Oliger that there are some conditions, which give us possibility to use frozen coefficients+Neumann analysis at the level of full rigor. As a book didn't give any reference, could you help me to find these conditions?

  • $\begingroup$ Cross-posted from: mathoverflow.net/questions/186760/… $\endgroup$ Mar 6, 2016 at 11:20
  • $\begingroup$ Does the book mention anything about the possibility of applying von Neumann + frozen coefficient on PDE with Neumann Boundary Conditions? Thanks! $\endgroup$
    – Chong Sun
    Dec 30, 2016 at 22:19


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