K-convergence as a new tool in numerical analysis

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00533370" target="_blank" >RIV/67985840:_____/20:00533370 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1093/imanum/drz045" target="_blank" >https://doi.org/10.1093/imanum/drz045</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imanum/drz045" target="_blank" >10.1093/imanum/drz045</a>

Result language
angličtina
Original language name
K-convergence as a new tool in numerical analysis
Original language description
We adapt the concept of K-convergence of Young measures to the sequences of approximate solutions resulting from numerical schemes. We obtain new results on pointwise convergence of numerical solutions in the case when solutions of the limit continuous problem possess minimal regularity. We apply the abstract theory to a finite volume method for the isentropic Euler system describing the motion of a compressible inviscid fluid. The result can be seen as a nonlinear version of the fundamental Lax equivalence theorem.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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