Results 121 to 130 of about 87,914,593 (210)

On a Numerical Cauchy Problem for a Singular Two-Dimensional Fourth-Order Fractional Partial Differential Equation

Journal of Function Spaces
In this paper, we study a numerical Cauchy problem associated with a singular two-dimensional fourth-order partial differential equation that includes a Caputo time-fractional derivative of order ...
Said Mesloub, Hassan Eltayeb Gadain
doaj   +1 more source

Using Physics-Informed Neural Networks for Solving 2^nd-Order Volterra Integro-Differential Equation by DeepXDE Library

مجلة بغداد للعلوم
Many disciplines widely use deep learning (DL) as a key tool for investigating the behavior of various systems. Deep learning (DL) has recently been utilized to solve differential equations using physics-based input.
Oday Ahmed Jasim, Abdulghafor M. Al-Rozbayani   +1 more
doaj   +1 more source

Post‐Tuberculosis Lung Disease: Clinicopathologic Insights, Diagnosis, Prevention, and Management

MedComm, Volume 7, Issue 10, October 2026.
A comprehensive review on post‐tuberculosis lung disease (PTLD) addresses the epidemiology, pathogenesis, clinical phenotypes and management, risk factors, prevention and systems approach, and future directions. This review provides standardized definitions, mechanistic insights and biomarkers of PTLD development, and clinical strategies for PTLD ...
Radha Gopalaswamy, Selvakumar Subbian
wiley   +1 more source

Ischemic Stroke and Traumatic Brain Injury: Epidemiology, Molecular Pathways, and Emerging Therapies

MedComm, Volume 7, Issue 10, October 2026.
Schematic overview of secondary brain injury after ischemic stroke and traumatic brain injury. Both conditions trigger endothelial cell dysfunction, pericyte contraction, and upregulated AQP4 expression in astrocytic end‐feet, leading to blood–brain barrier disruption.
Mengzhao Feng, Qi Qin, Fang Wang, Kaiyuan Zhang, Zhihua Li, Junlei Chang, Min Yu, Fuyou Guo   +7 more
wiley   +1 more source

Reduced Order Modeling for Tsunami Forecasting With Bayesian Hierarchical Pooling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 10, October 2026.
Abstract Reduced‐order models (ROMs) can represent spatiotemporal processes in significantly fewer dimensions and can often be solved many orders of magnitude faster than their governing partial differential equations (PDEs). For example, proper orthogonal decomposition yields a ROM in which the state is represented as a low‐dimensional linear ...
Shane X. Coffing, John Tipton, Arvind T. Mohan, Darren Engwirda   +3 more
wiley   +1 more source

Large liquidity expansion of super-hedging costs. [PDF]

We consider a financial market with liquidity cost as in Cetin, Jarrow and Protter [3] where the supply function S"(s; ) depends on a parameter " 0 with S0(s; ) = s corresponding to the perfect liquid situation.
Possamai, Dylan, Touzi, Nizar, Soner, H. Mete   +2 more
core  

PDES WITH COMPRESSED SOLUTIONS [PDF]

, 2014
Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an L^1 norm (or related quantity) as a constraint ...
Hayden Schaeffer, Caflisch, Russel E., Schaeffer, Hayden, Russel E. Caflisch, Osher, Stanley J., Tran, Giang, Stanley J. Osher, Giang Tran   +7 more
core  

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

Infrared‐Guided Super‐Resolution of Remotely Sensed Passive Microwave Sea Surface Temperature

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.
Abstract High‐resolution sea surface temperature (SST) is essential for weather forecasting and climate applications. Passive microwave (MW) SST offers largely cloud‐penetrating coverage but is coarse and spatially smoothed, whereas infrared (IR) SST resolves fine‐scale structures but is frequently cloud‐obscured.
Wenjie Zhou, Xiaofeng Yang
wiley   +1 more source

Two Localization Strategies for Sequential MCMC Data Assimilation With Applications to Nonlinear Non‐Gaussian Geophysical Models

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 10, October 2026.
Abstract We present a localized data assimilation (DA) scheme based on sequential Markov Chain Monte Carlo (SMCMC) (Ruzayqat et al., 2024, https://doi.org/10.1002/qj.4710), a provably convergent method for filtering high‐dimensional, nonlinear, and potentially non‐Gaussian state‐space models (SSMs).
Hamza Ruzayqat, Hristo G. Chipilski, Omar Knio   +2 more
wiley   +1 more source