Results 111 to 120 of about 1,546 (231)

Multi-fidelity Stochastic Collocation

, 2013
Over the last few years there have been dramatic advances in our understanding of mathematical and computational models of complex systems in the presence of uncertainty.
Raissi, Maziar
core  

Hydrographic Variability and Sound‐Channel Dynamics in the Nordic Seas: Implications for Predicting Acoustic Arrival Structure

Journal of Geophysical Research: Oceans, Volume 131, Issue 6, June 2026.
Abstract Warm, saline Atlantic waters and fresher Arctic‐origin waters converge in the central Nordic Seas, creating strong mesoscale and submesoscale variability that influences both hydrography and sound propagation. During the Northern Ocean Rapid Surface Evolution 2022 experiment, high‐resolution temperature and salinity measurements were collected
Megan S. Ballard, Alejandra Sanchez‐Rios, Robert T. Taylor, Timothy F. Duda, J. Thomas Farrar, Harper Simmons, Jason D. Sagers, Jennifer Mackinnon, Andrew J. Lucas, Leah Johnson, Ailin Brakstad, Ilker Fer   +11 more
wiley   +1 more source

Can AI‐Based Weather Prediction Models Simulate the Butterfly Effect? The Role of Architecture and Implementation

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Simulations of numerical weather prediction models indicate that the atmosphere possesses an intrinsic limit of predictability. Initial perturbations of tiny amplitude grow quickly in areas of convection and latent heat release, then spread out and move upscale, eventually affecting even the largest planetary scales after about 2 weeks.
T. Selz, G. C. Craig
wiley   +1 more source

Physically Consistent Synthesis of Tropical Cyclone Microwave Brightness Temperatures From Geostationary Infrared Observations

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Analyzing the evolution of Tropical Cyclones (TCs) is critical for understanding their structure and intensity, but it has been limited by observational constraints. Spaceborne passive microwave (PMW) observations can penetrate both non‐precipitating and precipitating clouds and provide information on the vertical distribution of hydrometeors ...
Zhangrui Li, Zhe‐Min Tan, Lei Bai
wiley   +1 more source

On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]

, 2007
This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
core  

Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics

, 2010
This paper describes a point-collocation nonintrusive polynomial chaos technique used for uncertainty propagation in computational fluid dynamics simulations.
Robert W. Walters, Serhat Hosder, Balch, Michael, Michael Balch, Hosder, Serhat, Walters, Robert W.   +5 more
core   +1 more source

Efficient Stochastic Optimization using Chaos Collocation method with modeFRONTIER

, 2009
Robust Design Optimization (RDO) using traditional approaches such as Monte Carlo (MC) sampling requires tremendous computational expense. Performing a RDO for problems involving time consuming CAE analysis may not even be possible within time ...
PEDIRODA, VALENTINO, PARUSSINI, LUCIA, POLONI, CARLO, MAURO POIAN, NADER FATEH   +4 more
core  

An RBF-LOD Method for Solving Stochastic Diffusion Equations

Journal of Mathematics
In this study, we introduce an innovative approach to solving stochastic equations in two and three dimensions, leveraging a time-splitting strategy. Our method combines radial basis function (RBF) spatial discretization with the Crank–Nicolson scheme ...
Samaneh Mokhtari, Ali Mesforush, Reza Mokhtari, Rahman Akbari   +3 more
doaj   +1 more source

A Two-Level Sparse Grid Collocation Method for Semilinear Stochastic Elliptic Equation

, 2017
In this work, we investigate a novel two-level discretization method for the elliptic equations with random input data. Motivated by the two-grid method for deterministic nonlinear partial differential equations introduced by Xu [36], our two-level ...
Xiong Liu, Luoping Chen, Yanping Chen
core   +1 more source

MATHICSE Technical Report : A posteriori error estimation for the stochastic collocation finite element method [PDF]

In this work, we consider an elliptic partial differential equation with a random coefficient solved with the stochastic collocation finite element method.
Nobile, Fabio, Guignard, Diane Sylvie
core   +1 more source