Results 71 to 80 of about 2,553,181 (201)

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

Engineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source

Efficient solution of a wave equation with fractional-order dissipative terms [PDF]

, 2009
We consider a wave equation with fractional-order dissipative terms modeling viscothermal losses on the lateral walls of a duct, namely the Webster-Lokshin model.
Haddar, Houssem, Li, J.-R., Li, Jing Rebeca, Matignon, Denis, Li, Jing-Rebecca, Haddar, H., Matignon, D.   +6 more
core   +1 more source

Quasilinearization-Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
doaj   +1 more source

On linear singular volterra integral equations of the second kind

Journal of Mathematical Analysis and Applications, 1984
Let \(\mu\) be a nonatomic, signed measure on the Borel sets of \([0,1]\), whose total variation measure is infinite on \([0,1]\), but finite on \([t,1]\), \(t\in (0,1)\). Let the measurable function \(k\) be defined on \(\Delta =\{(t,s):\) \(0\leq s\leq t\leq 1\}\) such that \(k(\circ,s)\) is absolutely continuous on \([s,1]\) with derivative \(k_ t ...
openaire   +1 more source

Itô Differential Representation of Singular Stochastic Volterra Integral Equations

Acta Mathematica Scientia, 2020
In this paper we obtain an Itô differential representation for a class of singular stochastic Volterra integral equations. As an application, we investigate the rate of convergence in the small time central limit theorem for the solution.
openaire   +2 more sources

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels [PDF]

SIAM Journal on Mathematical Analysis, 1971
Differentiability of nonlinear Volterra integral equations of second kind with convolutional weakly singular ...
Miller, Richard K., Feldstein, Alan
openaire   +1 more source

Modeling and Optimization of Frequency‐Doubled Radio‐Over‐Fiber Link Based on Deep Learning Technique

Advanced Photonics Research, Volume 7, Issue 3, March 2026.
This article proposes a deep learning (DL) approach for modeling and optimizing frequency‐doubled radio‐over‐fiber links. By collectively replacing traditional components with DL model, accurate system evaluation is achieved. Moreover, through an end‐to‐end architecture, performance optimization is accomplished.
Difei Shi, Xiangyan Meng, Hanxin Chen, Wei Li   +3 more
wiley   +1 more source

Model pluralism for logic

Noûs, Volume 60, Issue 1, Page 136-160, March 2026.
Abstract It is well‐recognized in the sciences that a multitude of nonequivalent models are used by researchers to fulfill a range of goals, even for the same target system, a result known broadly as model pluralism. The possibility of the same form of pluralism occurring in logic, however, has not been adequately considered.
Ben Martin
wiley   +1 more source

A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels [PDF]

SIAM Journal on Numerical Analysis, 2003
This paper presents a new hybrid collocation method for solving certain second kind Volterra integral equations with singular kernels. The solution of the equation has a singularity, caused by the singularity in the kernel, and this presents particular challenges for numerical schemes.
Cao, Y. Z., Herdman, Terry L., Xu, Y. H.
openaire   +2 more sources