Computational simulations and uniform stability of fractional order neural networks under perturbed system setup. [PDF]
Sci RepSwamy KK, Panda SK, Albargi AH, Ahmad J.
europepmc +1 more source
Accurate and Efficient Data‐Driven Partitioned Scheme for Coupled Heterogeneous Numerical Models
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT Heterogeneous numerical models (HNMs) combine conventional discretization modules such as finite elements with nonconventional data‐driven and reduced‐order modules. HNMs can improve computational efficiency and enable simulations of multi‐physics systems in which one or more constituent components lack first‐principles descriptions and must ...
Edward Huynh +3 more
wiley +1 more source
Flow of Dilute Aqueous Polymer Solutions in a Heterogeneous Porous Medium: Existence Results for Steady and Unsteady Cases. [PDF]
Polymers (Basel)Baranovskii ES, Artemov MA.
europepmc +1 more source
Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley +1 more source
From Nash Equilibrium to Social Optimum and Back: A Mean Field Perspective. [PDF]
Appl Math OptimCarmona R +3 more
europepmc +1 more source
Approximate Reachability for Feedback Linearizable Systems
Optimal Control Applications and Methods, Volume 47, Issue 5, Page 1062-1082, September/October 2026.The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
wiley +1 more source
The Unique Limit of the Glimm-Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration. [PDF]
Arch Ration Mech AnalCheng J, Faile C, Krupa SG.
europepmc +1 more source
A Posteriori Estimates For A Coupled Piezoelectric Model With Uncertain Data
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT The paper is concerned with a coupled piezo‐electric problem with incompletely known coefficients of the elasticity tensor and two other tensors that define electric properties of the media. Due to this uncertainty, the problem possesses a set (cloud) of equally probable solutions instead of a unique solution.
S. Repin, T. Samrowski
wiley +1 more source
An Entropy-Based Framework for Hybrid Coalitions in Game Theory-Part I: Human Arbitration. [PDF]
Entropy (Basel)Sepúlveda-Fontaine SA, Amigó JM.
europepmc +1 more source
Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Quantitative Biology, Volume 14, Issue 3, September 2026.Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
wiley +1 more source