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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Mesh refinement

Authors: Gerald Browning, Heinz-Otto Kreiss and Joseph Oliger
Journal: Math. Comp. 27 (1973), 29-39
MSC: Primary 65M10
MathSciNet review: 0334542
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Abstract: We study mesh refinement techniques for first-order hyperbolic equations. A refinement method for use with the leap-frog scheme is defined and its stability established. The remainder of the paper is devoted to a discussion of the effects of nonuniform grids and the circumstances under which they may be used.

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Article copyright: © Copyright 1973 American Mathematical Society