Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

Abstract: Curved spaces, such as surfaces, provide a rich setting for the study of partial differential equations (PDEs). Building upon the extensive research conducted on PDEs in flat spaces, the ...

Simo Särkkä and Arno Solin (2019). Applied Stochastic Differential Equations. Cambridge University Press. Cambridge, UK. The book can be ordered through Cambridge University Press or, e.g., from ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

OpenAI researchers prematurely celebrated on social media, announcing that the AI had solved a series of famously difficult ...

Gravitational waves are energy-carrying waves produced by the acceleration or disturbance of massive objects. These waves, ...

The internet is torn over an elementary-level math equation which left many scratching their heads. The viral math problem has X users stumped - but the answer comes from lessons learned in fifth or ...

Google has been quietly improving Bard and adding new features every few weeks, bringing its capabilities up to par with ChatGPT. Now, the company has added the ability to upload images to Bard for a ...