IEEE

A Fast-Convergence Near-Memory-Computing Accelerator for Solving Partial Differential Equations

Abstract: Solving partial differential equations (PDEs) is omnipresent in scientific research and engineering and requires expensive numerical iteration for memory and computation. The primary ...
Quanta Magazine

Long-Sought Proof Tames Some of Math’s Unruliest Equations

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...
ascopubs.org

Navigating new norms: The Inflation Reduction Act’s influence on Enhancing Oncology Model Part D expenditures and total cost of care.

Engaging Primary Care in Cancer Survivorship (EPICS) trial: A prospective trial of primary care-led survivorship care versus oncology-led care on receipt of recommended and non-recommended services in ...
Scientific Research Publishing

An Efficient Explicit Scheme for Solving the 2D Heat Equation with Stability and Convergence Analysis ()

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...
GitHub

Spectral vs. Fourier Neural Operators in Parametric PDE Modeling: Analysis and Experiments

This repository contains the official source code for the paper "Spectral vs. Fourier Neural Operators in Parametric PDE Modeling: Analysis and Experiments". This project conducts a systematic ...
EurekAlert!

New 'optical neural engine’ solves partial differential equations

The researchers’ device applies principles of neural networking to an optical framework. As a wave encoded with a PDE passes through the ONE’s series of components, its properties gradually shift and ...
acm.org

Machine Learning Framework Integrates Geometry into Fast PDE Solving

Partial differential equations (PDEs) are workhorses of science and engineering. They describe a vast range of phenomena, from flow around a ship’s hull, to acoustics in a concert hall, to heat ...
Phys.org

Mathematician solves algebra's oldest problem using intriguing new number sequences

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...
GitHub

'list' object has no attribute 'reshape' when solving a Korteweg-de Vries equation

I am trying to solve a Korteweg-de Vries equation like such: $$ \frac{\partial u}{\partial t} = (-\sigma u) \partial_x u - d \partial^3_x u+(\Gamma - G) u + \xi * u^3 $$ but for some values, for ...
Frontiers

Editorial: Approximation methods and analytical modeling using partial differential equations

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
SciTech Daily

AI Breakthrough Solves Supercomputer Math on Desktop PCs in Seconds

DIMON, a new AI framework, accelerates modeling by solving partial differential equations efficiently, reducing computation times from days to seconds. Tested in heart simulations, it promises ...