Variational methods on graphs extend the classical calculus of variations to discrete structures, treating vertices and edges as the domain for differential‐like operators. By associating an energy ...
The nonlinear Schrödinger equation (NLS) occupies a central role in the mathematical modelling of wave phenomena across optics, fluid dynamics and quantum systems. As a fundamental evolution equation ...
Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...