An optimal Petrov-Galerkin framework for operator networks. [PDF]
Comput Methods Appl Mech EngCharles P +9 more
europepmc +1 more source
A Review of Probabilistic and Novel Approaches to Cost Assessment in CCUS Projects
Greenhouse Gases: Science and Technology, Volume 16, Issue 5, Page 860-880, October 2026.ABSTRACT Although the renewable energy sector is making progress, there is still a long way to go before green energy can be fully utilized. In this context, Carbon Capture Utilization and Storage (CCUS) technologies can act as a temporary bridge between a high‐emission past and a low‐emission future.
Majid Mohajeri, Saman Azadbakht
wiley +1 more source
Exact wave structures and bifurcation for the (2+1)-Dimensional bogoyavlensky-Konopelchenko equation using modified extended direct algebraic technique. [PDF]
MethodsXElhady MA +4 more
europepmc +1 more source
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, Volume 299, Issue 10, Page 2894-2917, October 2026.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +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
PINN for stiff moving-boundary PDE to predict the locking point in superheated steam drying. [PDF]
Sci RepMalekjani N +3 more
europepmc +1 more source
Diffusion Priors Enhanced Velocity Model Building From Time‐Lag Images Using a Neural Operator
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.Abstract Velocity model building (VMB) serves as a crucial component for achieving high precision subsurface imaging. However, conventional VMB methods are often computationally expensive and time consuming. In recent years, with the rapid advancement of deep learning, particularly the success of generative models and neural operators (NOs), deep ...
Xiao Ma +2 more
wiley +1 more source
FunDiff: diffusion models over function spaces for physics-informed generative modeling. [PDF]
Nat CommunWang S, Dou Z, Shan S, Liu TR, Lu L.
europepmc +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 +3 more
wiley +1 more source
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.Abstract Accurate characterization of subsurface heterogeneity is challenging but essential for applications such as reservoir pressure management, geothermal energy extraction and CO2 ${\text{CO}}_{2}$, H2 ${\mathrm{H}}_{2}$, and wastewater injection operations.
Harun Ur Rashid +4 more
wiley +1 more source