New methods can help study the phenomenon of turbulence

In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...
Hosted on MSN

Master solving exponential equations by using a calculator

Subscribe! Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter, and section. The purpose of posting my free video tutorials is to not only help ...
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 ...
GitHub

GaoUtahLab/ONE_PDE_public

Model folder contains ONE models for solving different PDEs: (1) FNO_DONN_2d_v4_1_layer_32_channel_fresnel.py for Darcy flow equation. (2) FNO_DONN_2d_v4_1_layer_32_channel_fresnel_mag_gelu.py for ...
Scientific Research Publishing

Zhang, J.J. and You, L.H. (2004) Fast Surface Modelling Using a 6th Order PDE. Computer Graphics Forum, 23, 311-320.

ABSTRACT: In this paper, we use the Mountain Pass theorem and the Fountain theorem to study the existence of solutions for the following ( p 1 ( x ), p 2 ( x ) ) -triharmonic equations: { − Δ p 1 ( x ...
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 ...
Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...
GitHub

PDE-Agent: A toolchain-augmented multi-agent framework for PDE solving

In this work, we frame PDE solving as tool invocation via LLM-driven agents and introduce PDE-Agent, the first toolchain-augmented multiagent collaboration framework, inheriting the reasoning capacity ...
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, ...
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 ...