Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Abstract: This paper presents a quantum computing framework to solve a system of nonlinear ordinary differential equations (ODEs) used in the power system dynamic analysis. The framework exploits the ...

Physics-aware machine learning integrates domain-specific physical knowledge into machine learning models, leading to the development of physics-informed neural networks (PINNs). PINNs embed physical ...

This project implements PANKH (Panel Analysis for uNsteady Kinematics of Hovering airfoils), a solver designed to study the aerodynamics of flapping foils. PANKH is a low-fidelity solver that solves ...

A year ago AlphaGeometry, an artificial-intelligence (AI) problem solver created by Google DeepMind, surprised the world by performing at the level of silver medallists in the International ...

A new mathematical framework makes it simple to determine the optimal sizing for solar panels and batteries in households, report scientists at Tokyo Tech. By formulating a novel optimization problem ...

In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many occurrences in science and engineering. Research in ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...