Galerkin methods are studied for the numerical solution of Abel-type integral equations. In order to maintain the causality/triangularity of the resulting system of linear equations, spline functions ...
Abstract. We analyze discontinuous Galerkin methods using upwind-biased numerical fluxes for time-dependent linear conservation laws. In one dimension, optimal a ...
Discontinuous Galerkin methods represent a powerful and flexible class of finite element techniques that have gained prominence in the simulation of wave propagation phenomena governed by the ...