Zobrazeno 1 - 10
of 494
pro vyhledávání: '"Chertock, A."'
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
Autor:
Chertock, Alina, Herty, Michael, Iskhakov, Arsen S., Janajra, Safa, Kurganov, Alexander, Lukacova-Medvidova, Maria
In this paper, we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations (PDEs) with uncertainties. The new approach is realized in the semi-discrete finite-volume framework and is based on fifth-o
Externí odkaz:
http://arxiv.org/abs/2312.08280
We develop a new second-order flux globalization based path-conservative central-upwind (PCCU) scheme for rotating shallow water magnetohydrodynamic equations. The new scheme is designed not only to maintain the divergence-free constraint of the magn
Externí odkaz:
http://arxiv.org/abs/2312.02881
Convolutions are one of the most important operations in signal processing. They often involve large arrays and require significant computing time. Moreover, in practice, the signal data to be processed by convolution may be corrupted by noise. In th
Externí odkaz:
http://arxiv.org/abs/2301.13339
We develop a new second-order unstaggered path-conservative central-upwind (PCCU) scheme for ideal and shallow water magnetohydrodynamics (MHD) equations. The new scheme possesses several important properties: it locally preserves the divergence-free
Externí odkaz:
http://arxiv.org/abs/2212.02682
We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO) schemes for hyperbolic systems of conservation laws. The new schemes employ the recently proposed local characteristic decomposition based central-upwind numerical flux
Externí odkaz:
http://arxiv.org/abs/2211.07099
In this paper, we consider a coupled chemotaxis-fluid system that models self-organized collective behavior of oxytactic bacteria in a sessile drop. This model describes the biological chemotaxis phenomenon in the fluid environment and couples a conv
Externí odkaz:
http://arxiv.org/abs/2209.08357
Autor:
Michael J. Hall, Paul A. D’Avanzo, Yana Chertock, Patrick J. A. Kelly, Jesse Brajuha, Katie Singley, Caseem C. Luck, Sarah B. Bass
Publikováno v:
BMC Cancer, Vol 24, Iss 1, Pp 1-11 (2024)
Abstract Background Tumor genomic profiling (TGP) identifies targets for precision cancer treatments, but also secondary hereditary risks. Oncologists are poorly trained to communicate the results of TGP, especially among patients with lower health l
Externí odkaz:
https://doaj.org/article/d20acf8b9e0942a1bd7b8d791cc3c7c4
Autor:
Chertock, Alina, Chu, Shaoshuai, Herty, Michael, Kurganov, Alexander, Lukacova-Medvidova, Maria
We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the development of accurate and robust numerical methods for the studied s
Externí odkaz:
http://arxiv.org/abs/2206.08803