A mathematician and a computer scientist have just solved an "impossible" equation that has been considered unsolvable for ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

First, their algorithm advances a solution forward in time by ... nonlinear piece by solving a Hamilton-Jacobi (HJ) equation, a first-order nonlinear PDE. While generic HJ equations can be hard ...