New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties-Reference-Cited by-同舟云学术

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New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties

Published:2024-06-04 Issue:3 Volume:6 Page:2011-2044
ISSN:2096-6385
Container-title:Communications on Applied Mathematics and Computation
language:en
Short-container-title:Commun. Appl. Math. Comput.

Author:

Chertock Alina,Herty Michael,Iskhakov Arsen S.,Janajra Safa,Kurganov Alexander^ORCID,Lukáčová-Medvid’ová Mária

Funder

Division of Mathematical Sciences

Deutsche Forschungsgemeinschaft

Germany’s Excellence Strategy EXC-2023 Internet of Production

National Natural Science Foundation of China

Guangdong Provincial Key Laboratory Of Computational Science And Material Design

LeRoy B. Martin, Jr. Distinguished Professorship Foundation

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s42967-024-00392-z.pdf

Reference57 articles.

1. Abgrall, R., Congedo, P.M.: A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems. J. Comput. Phys. 235, 828–845 (2013)

2. Abgrall, R., Mishra, S.: Uncertainty quantification for hyperbolic systems of conservation laws. In: Abgrall, R., Shu, C.W. (eds.) Handbook of Numerical Methods for Hyperbolic Problems, vol. 18, pp. 507–544. Handbook of Numerical Analysis. Elsevier/North-Holland, Amsterdam (2017)

3. Abgrall, R., Tokareva, S.: The stochastic finite volume method. In: Shi, J., Lorenzo, P., (eds.) Uncertainty Quantification for Hyperbolic and Kinetic Equations, vol. 14, pp. 1–57. SEMA SIMAI Springer Series. Springer, Cham (2017)

4. Barth, T.: Non-intrusive uncertainty propagation with error bounds for conservation laws containing discontinuities. In: Hester, B., Didier, L., Siddhartha, M., Christoph, S. (eds.) Uncertainty Quantification in Computational Fluid Dynamics, vol. 92, pp. 1–57. Lecture Notes in Computer Science Engineering. Springer, Heidelberg (2013)

5. Bollermann, A., Noelle, S., Lukáčová-Medviďová, M.: Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Commun. Comput. Phys. 10, 371–404 (2011)

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