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 SM ISO690:2012JELTSCH, Rolf. Recent developments on numerical solutions for hyperbolic systems of conservation laws. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, p. 10. ISBN 978-9975-76-247-2. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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In 1757 Euler developed the famous Euler equations describing the ow of a compressible gas. This is a system of hyperbolic conservation laws in three space dimensions. However until recently one could not show convergence of numerical schemes to the 'classical' weak entropy solutions. By adapting the concept of measure-valued and statistical solutions to multidimensional systems Siddhatha Mishra and his coauthors could recently show convergence of numerical schemes. Mishra has presented these results at the ICM 2018 in Rio de Janeiro. After a brief introduction to the eld these developments will be described. |
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