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Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics
arXiv:2601.17452v3 Announce Type: replace Abstract: We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-, and ninth-order local characteristic decomposition-based central-upwind (LCDCU), low-dissipation central-upwind (LDCU), and viscous finite volume (VFV) methods, whose higher-order extensions are obtained via the framework of the alternative weighted essentially non-oscillatory (A-WENO) schemes. These methods...
Effects of preferential concentration on the combustion of iron particles -- A numerical study with homogeneous isotropic turbulence
arXiv:2604.04048v2 Announce Type: replace Abstract: Iron particles, with their non-volatile combustion mode, remain in the dispersed phase throughout the combustion process, causing the flow in a typical iron powder combustor to be particle-laden and turbulent. Preferential concentration is a phenomenon prevalent in such turbulent flows that causes particle clustering. To estimate the effects of clustering on the combustion process, direct-numerical-simulations are performed on a cubical...
Cascades in the Kinetic Equation for the Majda-McLaughlin-Tabak model
arXiv:2606.07763v1 Announce Type: new Abstract: The Majda-McLaughlin-Tabak (MMT) family of models has proven to be an efficient ground for benchmarking wave turbulence theory, thanks to the low computational cost required to test theoretical ideas and the possibility of tuning nonlinearity and dispersive properties of the equations. Here, we study numerically the wave kinetic equation (WKE) associated with the MMT model and perform simulations to study turbulent cascades. We confirm...
Higher-order spacings in the superposed spectra of random matrices with comparison to spacing ratios and application to complex systems
Announce Type: replace Abstract: Higher-order spacing statistics in the $m$ superposed spectra of circular random matrices of the same class are studied numerically. We conjecture that for given $m$ (or order $k$) and $\beta$, the sequence of modified Dyson index $\beta'(k)$ (or $\beta'(m)$) obtained using the sum of absolute differences between the cumulative distribution functions method (denoted as $D(\beta')$) is unique. Also, for a given $k$, the distribution tends to the corresponding...
Numerical analysis of a finite volume method for a 1-D wave equation with non smooth wave speed and localized Kelvin-Voigt damping
arXiv:2502.19947v3 Announce Type: replace-cross Abstract: In this paper, we study the numerical solution of an elastic/viscoelastic wave equation with non smooth wave speed and internal localized distributed Kelvin-Voigt damping acting faraway from the boundary. Our method is based on the Finite Volume Method (FVM) and we are interested in deriving the stability estimates and the convergence of the numerical solution to the continuous one. Numerical experiments are performed to confirm the...
Variable Clustering via Distributionally Robust Nodewise Regression
arXiv:2212.07944v4 Announce Type: replace Abstract: We study a multi-factor block model for variable clustering and connect it to regularized subspace clustering through a distributionally robust version of nodewise regression. To solve the latter problem, we derive a convex relaxation, provide a data-driven approach for selecting the size of the robust region, and develop an ADMM algorithm for efficient implementation. We validate our method in extensive numerical studies and demonstrate...
Relations Among Different Inequality Measures in Complex Systems: From Kinetic Exchange to Earthquake Models
arXiv:2512.18408v4 Announce Type: replace Abstract: We present a numerical study of several inequality measures across two kinetic wealth exchange models with extreme inequality features (namely the Banerjee model, and the Chakraborti or Yard Sale model) and two earthquake simulating models (namely the Chakrabarti Stinchcombe two fractal overlap model and the nonlinear dynamical Burridge Knopoff model). For each model we compute numerically the Lorenz function for the respective models...
A Practical AI-Driven Strategy for Cell On/Off Switching under Adaptable QoS Constraints
arXiv:2606.05019v1 Announce Type: new Abstract: The rapid expansion of 5G networks has intensified concerns over their sustainability, as denser Radio Access Network (RAN) deployments have increased overall power consumption. Although numerous studies have examined energy-efficient cell on/off switching, few have focused on approaches capable of dynamically adapting to operator-defined Quality of Service (QoS) requirements. In this paper, we propose a Long Short Term Memory (LSTM)based...
Vortex gust interactions with a freely-flying rigid airfoil
arXiv:2606.06766v1 Announce Type: new Abstract: This study numerically investigates the interaction between an isolated vortex gust and a freely-flying airfoil, introducing a theoretical framework for interpreting the coupled lift and heave response. This complex and coupled dynamics is important for modern light-weight aircraft where gusts may easily perturb the wing, generating transient changes in trajectory and attitude. Here, the freely-flying airfoil is modeled with a single...
Learning Coupled Subspaces for Multi-Condition Spike Data
Announce Type: replace Abstract: In neuroscience, numerous studies conduct sensory or behavioral experiments under multiple conditions to acquire neural responses in the form of high-dimensional spike train datasets. Analyzing high-dimensional spike data is a challenging statistical problem. To this end, Gaussian process factor analysis (GPFA), a popular class of latent variable models, has been proposed for data collected under a single experimental condition.