Results 41 to 50 of about 2,640 (178)

A Comparative Study of Physics‐Informed and Data‐Driven Neural Networks for Compound Flood Simulation at River‐Ocean Interfaces: A Case Study of Hurricane Irene

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract Simulating compound flooding (CF) at the river‐ocean interface within large‐scale Earth System Models (ESMs) presents significant challenges due to complex interactions between river discharge, storm surge, and tides. This study assesses the comparative advantages of physics‐informed and data‐driven machine learning (ML) approaches for ...
Dongyu Feng, Zeli Tan, Zihan Lin, Donghui Xu, Cheng‐Wei Yu, QiZhi He   +5 more
wiley   +1 more source

An Adaptive SPH Method (ADP‐SPH) for Simulating Solute Transport in Heterogeneous Aquifers

Water Resources Research, Volume 61, Issue 12, December 2025.
Abstract Smoothed Particle Hydrodynamics (SPH) is a meshfree, Lagrangian‐based approach used to solve the advection‐dispersion equation (ADE) of groundwater solute transport. It is well known that the accuracy of SPH deteriorates significantly when particles become irregularly distributed, often occurring in heterogeneous aquifers.
Tian Jiao, Ming Ye, Jinxi Song, Jing Yang, Maosheng Yin   +4 more
wiley   +1 more source

Meshfree Methods for Dynamic Fracture

, 2010
This paper presents an overview of meshfree methods with respect to their application to dynamic fracture. Different modelling techniques for discrete cracks in meshfree methods are described.
Bordas, Stephane Pierre Alain, H. Askes, Askes, H., S. Bordas, T. Rabczuk, Rabczuk, T.   +5 more
core   +1 more source

The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations

International Journal for Numerical Methods in Fluids, Volume 97, Issue 11, Page 1426-1440, November 2025.
Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas, A. Sakellarios, N. Malamos, V. C. Loukopoulos, V. N. Burganos, K. Miller, A. Langousis, D. I. Fotiadis, A. A. Dimas, V. M. Calo   +9 more
wiley   +1 more source

Meshfree Approximation for Multi-Asset Options [PDF]

We price multi-asset options by solving their price partial differential equations using a meshfree approach with radial basis functions under jump-diffusion and geometric Brownian motion frameworks. In the geometric Brownian motion framework, we propose
Aanand Venkatramanan, Emmanuel Hanert
core  

An Overview of Meshfree Collocation Methods

CoRR
We provide a comprehensive overview of meshfree collocation methods for numerically approximating differential operators on continuously labeled unstructured point clouds. Meshfree collocation methods do not require a computational grid or mesh. Instead, they approximate smooth functions and their derivatives at potentially irregularly distributed ...
Tomás Halada, Serhii Yaskovets, Abhinav Singh, Ludek Benes, Pratik Suchde, Ivo F. Sbalzarini   +5 more
openaire   +2 more sources

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Forced Convection of Carreau Hybrid Nanofluid in a Modified T‐Shaped Cavity Under Inclined MHD and Radiation Effects

Engineering Reports, Volume 7, Issue 10, October 2025.
The 2D, steady, laminar forced convection of a Carreau hybrid nanofluid (MgO–Ag/water) in a modified T‐shaped cavity with two outlets and a bottom inlet is investigated numerically in current work. The cold nanofluid enters from the inlet at the bottom with Tc$$ {T}_c $$ and velocity uc$$ {u}_c $$, while the vertical L‐shaped walls (W1$$ {W}_1 $$ and ...
Inayat Ullah, A. M. Zidan, Sohail Nadeem, Tausif Iqra, Jehad Alzabut, B. Zigta   +5 more
wiley   +1 more source

Advanced Modeling of Thermo‐Mechanical Behavior in Tetrachiral Core Sandwich Nanoplates Using Non‐Local Higher‐Order Theory

Natural Sciences, Volume 5, Issue 4, October 2025.
The study presented investigates the thermo‐mechanical behavior of a sandwich structure with a tetrachiral‐shaped auxetic core. The geometric configuration, unit cell architecture, and the influence of the material length scale on the effective stiffness under temperature variation are illustrated.
Mustafa Buğday
wiley   +1 more source

Meshfree formulation for inverse frequencies analysis incorporating artificial neural network

, 2013
This study concerns on the formulation of meshfree method for the inverse frequency analysis of damage detection incorporating Artificial Neural Network (ANN).
Abd. Nazir, Mohd. Zhafri Jamil
core