We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic ...

This is a preview. Log in through your library . Abstract In this paper, we develop a new discontinuous Galerkin (DG) finite element method for solving time dependent partial differential equations ...

Introduction to differential equations. Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order ...

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 ...

In the traditional two-step method, the homogenization group constants of the fuel assembly are calculated using the assumption of reflective boundary conditions. In the hybrid two-step method used in ...