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Data and range-bounded polynomials in ENO methods
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DOI：10.1016/j.jocs.2012.04.006.png)
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摘要
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Essentially non-oscillatory (ENO) methods and weighted essentially non-oscillatory (WENO) methods are of fundamental importance in the numerical solution of hyperbolic equations. A key property of such equations is that the solution must remain positive or lie between bounds. A modification of the polynomials used in ENO methods to ensure that the modified polynomials are either bounded by adjacent values (data-bounded) or lie within a specified range (range-bounded) is considered. It is shown that this approach helps both in the range boundedness in the preservation of extrema in the ENO polynomial solution. (C) 2012 Elsevier B.V. All rights reserved.
Keyword:
Data-bounded polynomials
Range-bounded polynomials
Essentially non-oscillatory methods
期刊
IF:
18.3
论文数:
3.1K
被引数:
4.0K
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