A new visa for science and engineering graduates is part of China’s effort to establish itself as the world leader in science and technology. By Vivian Wang Reporting from Beijing Just as President ...

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 the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...

Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.

Abstract: When edge extraction is performed on images, the method of second-order partial differential equations may result in a phenomenon where a similar feature area undergoes multiple iterations ...

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods ...

The honor, like a Nobel Prize for mathematics, was given this year to Luis Caffarelli for his work on partial differential equations. By Kenneth Chang As a mathematician, Luis A. Caffarelli of the ...

The world of mathematics is neat and tidy, but the real world is messy and seemingly chaotic. To make order out of all this, researchers rely on different types of equations. A type of these equations ...

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required ...