A New Perspective on Kinetic Schemes

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2000
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SIAM Journal on Numerical Analysis ; 38 (2000), 5. - pp. 1603-1625. - ISSN 0036-1429. - eISSN 1095-7170
Abstract
Compared to standard numerical methods for hyperbolic systems of conservation laws, kinetic schemes model propagation of information by particles instead of waves. In this article, the wave and the particle concept are shown to be closely related. Moreover, a general approach to the construction of kinetic schemes for hyperbolic conservation laws is given that summarizes several approaches discussed by other authors.
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510 Mathematics
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ISO 690JUNK, Michael, 2000. A New Perspective on Kinetic Schemes. In: SIAM Journal on Numerical Analysis. 38(5), pp. 1603-1625. ISSN 0036-1429. eISSN 1095-7170. Available under: doi: 10.1137/S0036142999362857
BibTex
@article{Junk2000Persp-25468,
  year={2000},
  doi={10.1137/S0036142999362857},
  title={A New Perspective on Kinetic Schemes},
  number={5},
  volume={38},
  issn={0036-1429},
  journal={SIAM Journal on Numerical Analysis},
  pages={1603--1625},
  author={Junk, Michael}
}
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