Results 61 to 70 of about 576 (215)

Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials

Advances in Mathematical Physics, 2022
The goal of this paper is study the mixed integral equation with singular kernel in two-dimensional adding to the time in the Volterra integral term numerically.
A. M. Al-Bugami
doaj   +1 more source

Solutions for singular Volterra integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2009
Summary: We consider the system of Volterra integral equations \[ \begin{multlined} u_i(t) =\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\dots,u_n(s))+ \\ + Q_i(s,u_1(s),u_2(s),\dots,u_n(s))]ds,\quad t\in [0,T],\;1\leq i\leq n \end{multlined} \] where \(T>0\) is fixed and the nonlinearities \(P_i(t,u_1,u_2,\dots,u_n)\) can be singular at \(t=0\) and \(u_j ...
openaire   +4 more sources

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

Asymptotic solutions of linear Volterra integral equations with singular kernels [PDF]

Transactions of the American Mathematical Society, 1974
Volterra integral equations of the form u ′ ( t
Wong, J. S. W., Wong, R.
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

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

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

On goodness‐of‐fit testing for self‐exciting point processes

Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 102-139, March 2026.
Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
José Carlos Fontanesi Kling, Mathias Vetter   +1 more
wiley   +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