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 ...

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 ...

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, ...