73 papers
This paper introduces a new subclass of bi-univalent functions defined via Gegenbauer polynomial convolution to derive coefficient bounds and Fekete-Szegö inequalities, which are then utilized to develop a GCEA algorithm that effectively enhances digital images by improving edge detection, preserving structural features, and increasing contrast.
This paper establishes a fundamental correspondence between the global combinatorial structure of finite regular cubical complexes and poset-based connected manifolds by proving that a complex's face poset is an n-PCM if and only if the complex itself is a cubically normal pseudomanifold, thereby providing a recognition algorithm for embedded voxel complexes.
This paper presents a coupled SVEIQR-SEI mathematical model of Mpox transmission between animal reservoirs and humans, which demonstrates that the disease can be eliminated when the basic reproduction number is below one and, upon calibration to the 2022 US outbreak, reveals that targeted quarantine and behavioral interventions were the primary drivers of containment while highlighting the shifting influence of reservoir dynamics across different epidemic phases.
This paper proposes and numerically validates a framework for the adaptive shrinkage calibration of fractional order and volatility within a time-fractional Black–Scholes model, demonstrating through Monte Carlo simulations and empirical S&P 500 data that raw estimates often converge to classical boundaries and exhibit strong local dependence, thereby necessitating stabilization strategies that balance parameter risk with out-of-sample option pricing performance under various loss functions.
This paper proposes and analyzes an eighth-order, one-sixth block multiderivative numerical method based on Chebyshev polynomials and a negative-steps strategy for the direct solution of second-order initial value problems, demonstrating its superior accuracy and stability through theoretical analysis and comparative numerical examples.
This paper demonstrates that numerically converged solutions to saturating semilinear elliptic problems can still yield unreliable Morse indices due to unresolved nodal-layer effects, necessitating a two-resolution workflow that separately verifies branch fidelity and low-spectrum reliability to prevent false stability crossings.
This paper establishes a rigorous multi-level mathematical framework for correlated error accumulation in quantum circuits by proving a central theorem on accumulation scaling, deriving stability and universality results, and validating the model's statistical properties and sample complexity through both analytical proofs and Monte Carlo simulations.
This study characterizes complex balanced equilibria in weakly reversible power law kinetic systems by introducing the PL-TIK decomposition, demonstrating that such systems with weakly reversible, incidence-independent PL-TIK decompositions are complex balanced, and validating these findings through application to Schmitz' Carbon Cycle Model.
This study introduces a q-Legendre spectral framework for solving the Schwarzian KdV equation under Möbius periodic boundary conditions, demonstrating spectral accuracy while diagnosing a genuine, boundary-induced finite-time blow-up mechanism distinct from numerical aliasing errors, with stability characteristics varying non-monotonically across parameter sets representing different atomic lattice structures.
This paper establishes the convergence and localization of Fourier series for functions that are Henstock-Kurzweil integrable but not Lebesgue integrable due to singular behavior at the origin, provided they satisfy specific Dini-type or bounded-variation conditions.