A numerical method for fractal conservation laws

Research output: Contribution to journalArticleResearchpeer-review

25 Citations (Scopus)

Abstract

We consider a fractal scalar conservation law, that is to say, a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to approximate its solutions.
Original languageEnglish
Pages (from-to)95 - 124
Number of pages30
JournalMathematics of Computation
Volume79
Issue number269
DOIs
Publication statusPublished - 2010
Externally publishedYes

Cite this

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title = "A numerical method for fractal conservation laws",
abstract = "We consider a fractal scalar conservation law, that is to say, a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to approximate its solutions.",
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language = "English",
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journal = "Mathematics of Computation",
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publisher = "American Mathematical Society",
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A numerical method for fractal conservation laws. / Droniou, Jerome.

In: Mathematics of Computation, Vol. 79, No. 269, 2010, p. 95 - 124.

Research output: Contribution to journalArticleResearchpeer-review

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T1 - A numerical method for fractal conservation laws

AU - Droniou, Jerome

PY - 2010

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AB - We consider a fractal scalar conservation law, that is to say, a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to approximate its solutions.

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SP - 95

EP - 124

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

IS - 269

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