Analysis of moving mesh methods based on geometrical variables (Q2708327)

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Analysis of moving mesh methods based on geometrical variables
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    17 April 2001
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    stability
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    adaptive grid
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    moving mesh method
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    viscous conservation law
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    numerical examples
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    Analysis of moving mesh methods based on geometrical variables (English)
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    The authors give a moving mesh method for one-dimensional time-dependent partial differential equations based on the principle of equal arc length. They prove that for a viscous conservation law the method is stable with respect to initial perturbations. They give numerical examples.
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