A new class of methods for solving systems of nonlinear equations, called tensor methods, is introduced. Tensor methods are general purpose methods intended especially for problems where the Jacobian ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

We present a method for solving the generalized Riemann problem for partial differential equations of the advection-reaction type. The generalization of the Riemann problem here is twofold. Firstly, ...