Results 131 to 140 of about 4,822 (250)

Quantitative asymptotics for polynomial patterns in the primes

open access: yesMathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen   +2 more
wiley   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Cross‐Method Explanation Stability Under Prediction‐Preserving Perturbations in Explainable AI

open access: yesApplied AI Letters, Volume 7, Issue 2, June 2026.
The cross‐method analysis showed common vulnerability patterns across gradient‐based and perturbation‐based explainers, whereas Grad‐CAM demonstrated a specific ability to be resilient. Further discussion revealed that, before prediction changes with increasing ε, explanation divergence could already have commenced, indicating that further explanation ...
Muhammad Hasnain   +4 more
wiley   +1 more source

A predator-prey model with age-structured role reversal. [PDF]

open access: yesJ Math Biol
Suarez LC, Cameron MK, Fagan WF, Levy D.
europepmc   +1 more source

Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 6, Page 1449-1466, June 2026.
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley   +1 more source

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]

open access: yesArch Ration Mech Anal
Bögelein V, Duzaar F, Treu G.
europepmc   +1 more source

A Data‐Driven Control Framework for HIV Infection Using Projection Recurrent Neural Networks and Singular Value Analysis

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
The study introduces a model‐free data‐driven control strategy combining sliding mode control with a projection recurrent neural network to regulate HIV dynamics. The method eliminates dependence on mathematical models, ensures constrained optimal drug dosing, and robustly drives HIV states to a healthy equilibrium despite uncertainty. ABSTRACT In this
Ashkan Zarghami   +2 more
wiley   +1 more source

Home - About - Disclaimer - Privacy