Results 51 to 60 of about 1,546 (231)

Efficient Solutions for Stochastic Fractional Differential Equations with a Neutral Delay Using Jacobi Poly-Fractonomials

Mathematics
This paper introduces a novel numerical technique for solving fractional stochastic differential equations with neutral delays. The method employs a stepwise collocation scheme with Jacobi poly-fractonomials to consider unknown stochastic processes.
Afshin Babaei, Sedigheh Banihashemi, Behrouz Parsa Moghaddam, Arman Dabiri, Alexandra Galhano   +4 more
doaj   +1 more source

Disentangling Aleatoric and Epistemic Uncertainty in Physics‐Informed Neural Networks: Application to Insulation Material Degradation Prognostics

Advanced Intelligent Systems, EarlyView.
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez, Jokin Alcibar, Joel Pino, Mikel Sanz, Jose I. Aizpurua   +4 more
wiley   +1 more source

Stability Evaluation and Parametric Optimization of Coal‐Concrete Composite Bearing Systems Under Mine‐Water‐Induced Deterioration: Experiments and FEINN Analysis

Energy Science &Engineering, EarlyView.
Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen, Hongchuan Dai, Guixin Zhang, Pengzhe Li, Tong Yang, Cang Gong, Renbo Gao   +6 more
wiley   +1 more source

Multi-Index Stochastic Collocation for random PDEs

, 2016
In this work we introduce the Multi-Index Stochastic Collocation method (MISC) for computing statistics of the solution of a PDE with random data. MISC is a combination technique based on mixed differences of spatial approximations and quadratures over ...
Haji-Ali, Abdul-Lateef, Nobile, Fabio, Tamellini, Lorenzo, Haji Ali, Abdul Lateef, Tempone, Raul, Haji-Ali, Abdul-Lateef; id_orcid   +5 more
core   +1 more source

A Hybrid Fractional Chebyshev–Legendre Spectral Collocation Method for Hamilton–Jacobi–Bellman Equations

IEEE Access
Stochastic optimal control problems are commonly formulated as optimization problems constrained by stochastic dynamical systems, whose value functions satisfy Hamilton–Jacobi–Bellman (HJB) equations.
Alvian Alif Hidayatullah, Subchan Subchan, Sena Safarina, Tahiyatul Asfihani, R. Mohamad Atok, Irma Fitria, Andriyansah, Kasno Pamungkas   +7 more
doaj   +1 more source

Recovery Factor of Pure Helium Injection in Depleted Gas Reservoirs and Its Influencing Factors

Energy Science &Engineering, EarlyView.
This study employs compositional numerical simulation to systematically investigate the effects of injection rate, production rate, storage duration, and injection‐production scheme on pure helium recovery in depleted gas reservoirs. Low injection rates reduce viscous fingering while high production rates maximize near‐wellbore helium extraction ...
Shijie Zhu, Danlin Chen, Yang Wang, Zuping Xiang, Zhijun Li, Mengna Yang, Da Li   +6 more
wiley   +1 more source

Approximation of stochastic partial differential equations by a kernel-based collocation method [PDF]

International Journal of Computer Mathematics, 2012
Updated Version in International Journal of Computer Mathematics, Closed to Ye's Doctoral ...
Igor Cialenco, Gregory E. Fasshauer, Qi Ye 0007   +2 more
openaire   +2 more sources

Predicting EU Emissions Allowance Prices Using Macroeconomic Indicators and Hybrid AI Models

Journal of Forecasting, EarlyView.
ABSTRACT Predicting carbon allowance prices has grown more crucial in relation to carbon market regulation, financial strategy, and environmental policy development. This study examines a hybrid forecasting system that combines deep learning with ensemble machine learning models to forecast the price fluctuations of EU Emissions Allowance (EUAs) within
Saptarshi Ganguly, Pooja Sengupta, Divya Aggarwal   +2 more
wiley   +1 more source

A sparse grid stochastic collocation method for partial differential equations with random input data

, 2008
This work proposes and analyzes a Smolyak-type sparse grid stochastic collocation method for the approximation of statistical quantities related to the solution of partial differential equations with random coeffcients and forcing terms ( input data of ...
Nobile, F., Tempone, R., Webster, C. G.
core   +3 more sources

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source