The study of quantum dynamics in conjunction with nonlinear Schrödinger equations (NLS) sits at the confluence of mathematical physics, quantum mechanics and nonlinear analysis. This field ...

Taiwanese Journal of Mathematics, Vol. 24, No. 1 (February 2020), pp. 131-158 (28 pages) The matrix Riccati differential equation (RDE) raises in a wide variety of applications for science and applied ...

Kinetic equations serve as fundamental tools for understanding the statistical behaviour of particles within a system, bridging the microscopic world of individual particle interactions with ...

I just read a very insightful NY Times article entitled The Wrong Way to Teach Math by Andrew Hacker, a Professor Emeritus at Queens College in NY. Hacker teaches political science and mathematics and ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

Molecular dynamics simulation is a powerful and widely employed computational method that investigates the motion and interactions of molecules under different conditions, revealing the structure, ...

Mathematics is the language that lets us describe the universe. Galileo Galilei was already convinced of that in the 16th century. But even everyday phenomena such as the melting of an ice cube in a ...