Results 111 to 120 of about 43,948 (194)

Caputo fractional derivative in the solution of Kolmogorov equations: a new numerical approach

Boundary Value Problems
Fractional-order partial differential equations (PDEs) have become an essential tool in modeling complex phenomena across various scientific disciplines due to their ability to describe processes involving memory and hereditary effects.
Mohammad Alshammari, Saleh Alshammari, Manoj Singh, Yousef Jawarneh, Nedal M. Mohammed, Khalid M. K. Alshammari   +5 more
doaj   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

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

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

Neural Operators for Continuous Bias Correction of Water Level Forecast Guidance

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.
Abstract The National Oceanic and Atmospheric Administration's (NOAA) Global Two‐Dimensional Surge and Tide Operational Forecast System (STOFS‐2D‐Global) provides global operational tidal, subtidal, and total water level forecast guidance with a 7.5‐day horizon.
Atieh Alipour, Fariborz Daneshvar, Soroosh Mani, Gregory Seroka, Lei Shi, Zizang Yang, Yuji Funakoshi, Georgios Britzolakis, Edward Payson Myers, Kamyar Azizzadenesheli, Saeed Moghimi   +10 more
wiley   +1 more source

Duo‐AttnOPNets: Advancing Global Operational Forecasting for Atmospheric Carbon Monoxide With AI‐Empowered 4D‐Var

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 2, February 2026.
Abstract The accuracy of global forecasting of atmospheric composition is essential for protecting public health and advancing climate research. Carbon monoxide (CO), a key pollutant with indirect greenhouse effects, requires timely and accurate prediction.
Judongyang Zhou, Fangxin Fang, Christopher C. Pain, Linfeng Li, Jie Zheng, Yanghua Wang, Ionel Michael Navon, Jiang Zhu   +7 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

S3 Guideline for the Treatment of Psoriasis vulgaris, adapted from EuroGuiDerm – part 2: Specific clinical and comorbid situations

JDDG: Journal der Deutschen Dermatologischen Gesellschaft, Volume 24, Issue 2, Page 270-282, February 2026.
Summary The present Part 2 of the updated German S3 guideline on the treatment of psoriasis vulgaris provides recommendations for therapy selection in special clinical situations and in the presence of comorbidities. A major focus of this update is the chapter on screening for tuberculosis as well as therapy selection and management in latent ...
Alexander Nast, Andreas Altenburg, Matthias Augustin, Frank Bachmann, Wolf‐Henning Boehncke, Markus Cornberg, Hilte Geerdes‐Fenge, Brit Häcker, Peter Härle, Joachim Klaus, Michaela Köhm, Arno Köllner, Ulrich Mrowietz, Hans‐Michael Ockenfels, Antonia Pennitz, Sandra Philipp, Thomas Richter, Thomas Rosenbach, Tom Schaberg, Martin Schlaeger, Gerhard Schmid‐Ott, Michael Sebastian, Karisa Thölken, Ralph von Kiedrowski, Uwe Willuhn, Christoph Zeyen   +25 more
wiley   +1 more source

Machine Learning‐Aided Spatial Adaptation for Improved Digital Image Correlation Analysis of Complex Geometries

Strain, Volume 62, Issue 1, February 2026.
ABSTRACT Digital image correlation (DIC) is a widely used experimental technique for measuring full‐field deformation, but its application to complex scenarios involving large deformations, discontinuities, or intricate geometries is often hampered by the need for manual region of interest (ROI) definition.
Jeffrey Leu, Zixiang Tong, Andrew Doty, Solon Tsimpoukis, Bolei Deng, Jin Yang   +5 more
wiley   +1 more source

Finite element solution of crack-tip fields for an elastic porous solid with density-dependent material moduli and preferential stiffness

Advances in Mechanical Engineering
In this paper, the finite element solutions of crack-tip fields for an elastic porous solid with density-dependent material moduli are presented. Unlike the classical linearized case in which material parameters are globally constant under a small strain
Hyun C. Yoon, S. M. Mallikarjunaiah, Dambaru Bhatta   +2 more
doaj   +1 more source