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引用
期刊论文
A NOTE ON (2K+1)-POINT CONSERVATIVE MONOTONE SCHEMES
Vol. 38, No 2, 2004, pp. 345-357,-0001,():
First-order accurate monotone conservative schemes have good convergence and stability properties, and thus play a very important role in designing modern high resolution shock-capturing schemes. Do the monotone difference approximations always give a good numerical solution in sense of monotonicity preservation or suppression of oscillations? This note will investigate this problem from a numerical point of view and show that a (2K+1)-point monotone scheme may give an oscillatory solution even though the approximate solution is total variation diminishing, and satisfies maximum principle as well as discrete entropy inequality.
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