Zobrazeno 1 - 10
of 2 988
pro vyhledávání: '"Kurganov A"'
Uncertainty quantification (UQ) in mathematical models is essential for accurately predicting system behavior under variability. This study provides guidance on method selection for reliable UQ across varied functional behaviors in engineering applic
Externí odkaz:
http://arxiv.org/abs/2411.12679
Autor:
Datta, Biswajit, Adak, Pratap Chandra, Yu, Sichao, Dharmapalan, Agneya V., Hall, Siedah J., Vakulenko, Anton, Komissarenko, Filipp, Kurganov, Egor, Quan, Jiamin, Wang, Wei, Mosina, Kseniia, Sofer, Zdeněk, Pashov, Dimitar, van Schilfgaarde, Mark, Acharya, Swagata, Kamra, Akashdeep, Sfeir, Matthew Y., Alù, Andrea, Khanikaev, Alexander B., Menon, Vinod M.
Excitons are fundamental excitations that govern the optical properties of semiconductors. Interacting excitons can lead to various emergent phases of matter and large nonlinear optical responses. In most semiconductors, excitons interact via exchang
Externí odkaz:
http://arxiv.org/abs/2409.18501
We demonstrate that a bianisotropic response associated with a broken mirror symmetry of a dielectric resonator allows opening the bandgap in simple square lattice arrays of such resonators. Realizing the proposed system as an array of high-index cer
Externí odkaz:
http://arxiv.org/abs/2406.15246
The low-dissipation central-upwind (LDCU) schemes have been recently introduced in [A. Kurganov and R. Xin, J. Sci. Comput., 96 (2023), Paper No. 56] as a modification of the central-upwind (CU) schemes from [{\sc A. Kurganov and C. T. Lin, Commun. C
Externí odkaz:
http://arxiv.org/abs/2405.07620
New evidence of surprising robustness of solitary-wave solutions of the Serre-Green-Naghdi (SGN) equations is presented on the basis of high-resolution numerical simulations conducted using a novel well-balanced finite-volume method. SGN solitons exh
Externí odkaz:
http://arxiv.org/abs/2405.07182
We present counter-intuitive examples of a viscous regularizations of a two-dimensional strictly hyperbolic system of conservation laws. The regularizations are obtained using two different viscosity matrices. While for both of the constructed ``visc
Externí odkaz:
http://arxiv.org/abs/2405.04214
We introduce local characteristic decomposition based path-conservative central-upwind schemes for (nonconservative) hyperbolic systems of balance laws. The proposed schemes are made to be well-balanced via a flux globalization approach, in which sou
Externí odkaz:
http://arxiv.org/abs/2405.01929
Central-upwind (CU) schemes are Riemann-problem-solver-free finite-volume methods widely applied to a variety of hyperbolic systems of PDEs. Exact solutions of these systems typically satisfy certain bounds, and it is highly desirable or even crucial
Externí odkaz:
http://arxiv.org/abs/2403.13420
Chemotaxis systems play a crucial role in modeling the dynamics of bacterial and cellular behaviors, including propagation, aggregation, and pattern formation, all under the influence of chemical signals. One notable characteristic of these systems i
Externí odkaz:
http://arxiv.org/abs/2402.02808
In this paper, we study the stochastic collocation (SC) methods for uncertainty quantification (UQ) in hyperbolic systems of nonlinear partial differential equations (PDEs). In these methods, the underlying PDEs are numerically solved at a set of col
Externí odkaz:
http://arxiv.org/abs/2402.02280