Numerical methods in geometric function theory focus on the algorithmic computation of conformal mappings and related invariants for planar domains. Central to these approaches are boundary integral ...

Hyperbolic conservation laws govern a wide array of phenomena in fluid dynamics, geophysics, astrophysics and traffic flow, describing the evolution of conserved quantities such as mass, momentum and ...

A new computational method can identify how cause-and-effect relationships ebb and flow over time in dynamic real-life systems such as the brain. The method was reported today in a Reviewed Preprint ...

There is significant interest in the development and application of foundation models for scientific discovery. Foundation models possess the capacity to generate outputs or findings and discern ...