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The Entropy Condition for Implicit TVD Schemes |
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| Authors: | Yu-Hua Wu & Hua-Mo Wu |
| Abstract: | A class of implicit trapezoidal TVD schemes is proven to satisfy a discrete convex entropy inequality and the solution sequence of such implicit trapezoidal schemes converges to the physically relevant solution for genuinely nonlinear scalar conservation laws. The results are extended for a class of generalized implicit one-leg TVD schemes. |
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