Frontiers

A Fourier Neural Operator-enhanced parabolic equation framework for highly efficient underwater acoustic field prediction

The parabolic equation (PE) serves as a fundamental methodology for modeling underwater acoustic propagation. The computational efficiency of this approach derives from the far-field approximation of ...
Nature

Differential equations articles from across Nature Portfolio

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...
Toronto Star

Co-operators CEO says climate change has altered the insurance equation — and how to fix that

The modern insurance industry has operated under the same model for centuries: taking on other people’s risks for a fee, covering their losses if things go wrong. Rob Wesseling, however, thinks that ...
International Monetary Fund

A Crisis Like No Other, An Uncertain Recovery

Global growth is projected at –4.9 percent in 2020, 1.9 percentage points below the April 2020 World Economic Outlook (WEO) forecast. The COVID-19 pandemic has had a more negative impact on activity ...
IEEE

A Study on Advanced Techniques for Fractional Differential Equations: Integrating the Frobenius Method, ZZ Transform, and Diverse Machine Learning Approaches

Abstract: This study explores fractional differential equations using fractional calculus techniques, extending the traditional Frobenius method with approaches like the ZZ transform and binomial ...
IEEE

Differential Tropospheric Tomography Using Spaceborne Simultaneous Multiangle D-InSAR: Method, Optimization, and Performance Analysis

Abstract: Spaceborne synthetic aperture radar differential interferometry (D-InSAR) can measure large-scale surface deformation. When the deformation is negligible, the interferometric phase can be ...