The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

DeepMind’s AI finds new, proven solutions to Navier-Stokes equations—advancing fluid dynamics and future climate, flight, and ...

Several fundamental results on the existence and behavior of solutions to semilinear functional differential equations are developed in a Banach space setting. The ideas are applied to ...

Fan-out wafer-level packaging (FOWLP) is becoming a critical technology in advanced semiconductor packaging, marking a ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

The key intuition of SDEdit is to "hijack" the reverse stochastic process of SDE-based generative models, as illustrated in the figure below. Given an input image for editing, such as a stroke ...

The course gives an introduction to analytical techniques for partial differential equations, in particular to separation of variables. In addition the course treats qualititative properties of ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

An illustration of a magnifying glass. An illustration of a magnifying glass.