Abstract: We develop a framework for estimating unknown partial differential equations (PDEs) from noisy data, using a deep learning approach. Given noisy samples of a solution to an unknown PDE, our ...

He Tao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone (Photo by Xinhua News Agency reporter Liang Xu) On the 9th, the He Tao Institute of Mathematics and ...

The Sacramento Region Community Foundation is proud to highlight the Peter H. Shattuck Higher Education Fund, designed to ...

Terence Tao, a renowned mathematician at UCLA, faced funding challenges after the Trump administration froze federal research ...

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), ...

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 ...

On Wednesday night, U.S. President Donald Trump signed a travel ban against 12 countries in a move he described as “protecting the national security and national interest of the United States and its ...

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 ...

In teaching and textbook-writing on partial differential equations the author has observed some peculiar phenomena. He gives a bouquet of such observations in the article. Publisher Information ...