Results 121 to 130 of about 52,350 (200)

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

npj Quantum Information
The solution of large systems of nonlinear differential equations is essential for many applications in science and engineering. We present three improvements to existing quantum algorithms based on the Carleman linearisation technique.
Pedro C. S. Costa, Philipp Schleich, Mauro E. S. Morales, Dominic W. Berry   +3 more
doaj   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej, Yanan Li, Vando Narciso, Yue Sun   +3 more
wiley   +1 more source

A Novel Deep Learning Approach for TEC Map Completion Using Image Equation‐Guided Loss

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.
Abstract This study introduces the Image Equation Mechanism‐Completion Generative Adversarial Network (IEM‐CGAN), a groundbreaking deep learning framework that revolutionizes the reconstruction of large‐scale global ionospheric total electron content (TEC) maps.
Qingfeng Li, Hanxian Fang, Chao Xiao, Die Duan, Hongtao Huang, Ganming Ren, Xuhui Shen   +6 more
wiley   +1 more source

Modal Analysis of Water Distribution Systems With the Elastic Water Column Model

Water Resources Research, Volume 62, Issue 2, February 2026.
Abstract This paper presents a modal and participation factor (PF) analysis of water distribution systems (WDSs) using the elastic water column model (EWCM). Modal analysis, widely used in other engineering fields, is adapted here to characterize the dynamic behavior of WDSs under transient conditions. By linearizing the EWCM around an operating point,
Morteza Imani, Wei Zeng, Aaron Zecchin, Martin F. Lambert   +3 more
wiley   +1 more source

Casson Fluid Flow Through Porous Media on an Exponentially Stretched Surface in the Presence of a Transverse Magnetic Field and Chemical Reaction

Advances in Mathematical Physics
This study examined a two-dimensional flow of Casson fluid on an exponentially stretched surface subjected to a transverse magnetic field in the presence of chemically reactive species.
Issah Abubakari, Ibrahim Yakubu Seini
doaj   +1 more source

Boundary spike‐layer solutions of the multi‐dimensional singular Keller–Segel system: Existence, profiles and stability

Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo, Jingyu Li, Zhi‐An Wang, Wen Yang   +3 more
wiley   +1 more source

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT Model reduction is an active research field to construct low‐dimensional surrogate models of high fidelity to accelerate engineering design cycles. In this work, we investigate model reduction for linear structured systems using dominant reachable and observable subspaces.
Celine Reddig, Pawan Goyal, Igor Pontes Duff, Peter Benner   +3 more
wiley   +1 more source

Automatic Adaptive and Targeted Localized Refinement in Transient Structural Dynamic Simulations Using the Multiresolution Finite Wavelet Domain Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou, Katerina Samara, Dimitris Saravanos   +2 more
wiley   +1 more source