276 papers
This paper establishes fully optimal error estimates for both velocity and pressure in a variable-step IMEX-BDF2 finite element method for the Navier–Stokes equations by leveraging discrete orthogonal convolution kernels and negative-norm arguments to address time-step variations.
This study employs a facultative mutualism model based on nonlinear differential equations to demonstrate that balancing articulation mechanisms with institutional competition is essential for achieving a stable, sustainable, and mutually beneficial interaction between Tanzania's University and Technical-Vocational Qualification Frameworks.
This study proposes a stable and accurate unified block hybrid method for solving third- and fourth-order nonlinear boundary value problems that overcomes the ill-conditioning limitations of spectral collocation methods by partitioning the domain into blocks and recovering lower-order derivatives through successive integration, thereby achieving high convergence orders with significantly lower condition numbers.
This paper introduces and analyzes a randomized, derivative-free root-finding method that preserves bracketing by sampling multiple interior points to contract the search interval, proving its convergence properties and demonstrating its effectiveness as a robust, tunable alternative for expensive or parallelizable black-box function evaluations.
Using machine learning-guided symbolic regression on a diverse dataset of 3,429 graphs, this study identifies a high-accuracy empirical formula relating the domination number and spectral radius of graphs, while explicitly characterizing the extremal cases where the relationship fails.
This paper introduces a scale-invariant verification-domain profile to quantify the robustness of positive scalarisation certificates in finite multi-objective optimisation, establishing a theoretical trichotomy for certifiability and providing efficient row-generation algorithms that achieve exact classification and budget agreements across diverse problem instances.
This paper presents a one-dimensional reduced dynamical-systems model within the Payne-Whitham and optimal-velocity framework to derive a stability condition for dense pedestrian flow in confined geometries, identifying how density, relaxation time, velocity sensitivity, and width jointly determine the onset of long-wave stop-and-go instabilities.
This qualitative study examines how first-year business students activate Facione's six critical thinking skills while solving calculus limits problems using Symbolab, revealing a "CT-neutral zone" of mechanical input during early instrumental genesis and identifying distinct evaluation subtypes and cross-stage patterns that bridge critical thinking theory with instrumental genesis processes.
This study establishes a rigorous graph-theoretic framework for predicting the physicochemical properties of five Hepatocellular Carcinoma therapeutics by demonstrating that six degree-based topological indices, particularly the Yemen Index, exhibit statistically significant correlations with Surface Tension through linear regression analysis.
This paper investigates a reaction-diffusion competition system based on the Shigesada-Kawasaki-Teramoto model to establish exact parameter ranges ensuring the existence of only non-coexisting steady-state solutions, demonstrating that the impact of cross-diffusion on these solutions depends on the intensity of interspecific competition.