Results 121 to 130 of about 35,710 (245)

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

On Bergman–Toeplitz operators in periodic planar domains

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley   +1 more source

A PDE-Constrained Optimization Approach to Uncertainty in Inverse Problems with Applications to Inverse Scattering [PDF]

, 2010
Abstract : This project addresses the statistical inverse problem of reconstruction of an uncertain shape of a scatterer or properties of a medium from noisy observations of scattered wavefields. The Bayesian solution of this inverse problem yields a posterior pdf; requiring the solution of the forward wave equation to evaluate the density for any ...
George Biros, O. Ghattas
openaire   +1 more source

Truncated Floquet–Bloch transform for computing the spectral properties of large finite systems of resonators

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari, Silvio Barandun, Alexander Uhlmann   +2 more
wiley   +1 more source

A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore, Anna Sanfilippo, Francesco Ballarin, Traian Iliescu   +3 more
wiley   +1 more source

Bi-level iterative regularization for inverse problems in nonlinear PDEs

, 2023
Tram Thi Ngoc Nguyen
openalex   +2 more sources

Challenges in Automatic Differentiation and Numerical Integration in Physics‐Informed Neural Networks Modelling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.
ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley   +1 more source

Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions

Engineering Reports, Volume 7, Issue 10, October 2025.
The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov, Davron Aslonqulovich Juraev, Obidjon Khayrullaevich Abdullaev, Irfan Nurhidayat, Mohd Asif Shah   +4 more
wiley   +1 more source

Trace Metal Contamination and Health Risk Assessment in Traditional Egyptian Soft Cheeses: A Food Safety Perspective

Food Safety and Health, Volume 3, Issue 4, Page 693-712, October 2025.
This study evaluates trace metal concentrations in traditional Egyptian soft cheeses and assesses associated health risks using chemometric and toxicological approaches. Findings confirm the safety of these cheeses, with all risk indices within acceptable limits, supporting the need for continued monitoring to ensure food quality and consumer ...
Hani S. Abdelmontaleb, Doha A. Abdelmeged, Shaima M. Hamdy, Warda M. A. Ebid   +3 more
wiley   +1 more source

Investigating the rheological properties of fourth‐grade fluid using peristaltic phenomena: A report on artificial neural network simulation and sensitivity analysis utilizing response surface methodology

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 10, October 2025.
Abstract This work aims to evaluate the implications of pressure rise per wavelength and frictional forces on peristaltic circulation in a fourth‐grade fluid using sensitivity analysis. To accomplish this objective, the frictional forces and pressure increase per wavelength are modelled empirically, linking them to functions that vary with the ...
Ahmed Zeeshan, Amad Ur Rehman, Zaheer Asghar, Muhammad Mubashir Bhatti   +3 more
wiley   +1 more source