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Numerical algorithms for problems in analysis and algebra, scientific computation

2 votes
Accepted

Discontinuity of solutions to approximation schemes in the Barles-Souganidis framework

After checking the arguments with @Jeff, I am willing to conclude that the issue in the question above is an extremely minor error in the original paper [BS91]. Both Jeff and I came up with "fixes" fo …
parsiad's user avatar
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7 votes
1 answer
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Discontinuity of solutions to approximation schemes in the Barles-Souganidis framework

I have attached pg. 275 and pg. 276 of [BS91]. My concern is with the claim (2.7) on pg. 276. To prove this claim, I require the following additional assumption, which is not made by the authors: Ass …
parsiad's user avatar
  • 331