Iterative methods form the backbone of numerical strategies for locating solutions of nonlinear equations, where direct analytic solutions are often unavailable. At their essence, these algorithms ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

Simulating the nonlinear optical physics that underlies ultrafast laser systems is computationally demanding—a practical ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...