Abstract
In the paper cited above a proof about an estimate of the rate of convergence for a special discretization scheme for the Hamilton—Jacobi equation is given. The proof is essentially based on the identification between functions\(\tilde v_h\) andv k h . Here we give a simple example which shows that this identification is incorrect.
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Cappuzzo Dolcetta I (1983) On a discrete approximation of the Hamilton—Jacobi equation of dynamic programming. Appl Math Optim 10:367–377
Falcone M (1987) A numerical approach to the infinite horizon problem of deterministic control theory. Appl Math Optim 15:1–13
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Communicated by W. Fleming
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Tidball, M.M. Comments on “a numerical approach to the infinite horizon problem of deterministic control theory”. Appl Math Optim 23, 209–211 (1991). https://doi.org/10.1007/BF01442398
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DOI: https://doi.org/10.1007/BF01442398