In recent years, the frequency of weather-related natural disasters—cyclones, torrential rains, floods—has increased as a consequence of global warming. These disasters cause billions of dollars in ...

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

For decades, one of the biggest questions in cosmology has remained frustratingly out of reach: what, if anything, existed before the Big Bang? Now, researchers are using advanced computational ...

Some of the hardest questions in cosmology begin where the usual math gives up. Push Einstein’s theory far enough back toward the Big Bang, and the equations run into a singularity, a point where ...

RB-SFA is a compact and flexible Mathematica package for calculating High Harmonic Generation emission within the Strong Field Approximation. It combines Mathematica's analytical integration ...

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

“We have long held that words like ‘about’ and ‘approximately’ may be appropriately used to ‘avoid[] a strict numerical boundary to the specified parameter’…. however, the parameter’s range must be ...

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 ...

This paper proposes a new deep-learning-based algorithm for high-dimensional Bermudan option pricing. To the best of our knowledge, this is the first study of the arbitrary-order discretization scheme ...