Discontinuous Galerkin (DG) methods have emerged as a formidable tool in computational fluid dynamics (CFD), offering a flexible and high-order accurate framework for solving complex flow problems. By ...

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 ...

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 ...

The classical discontinuous Galerkin method for a general parabolic equation is analyzed. Symmetric error estimates for schemes of arbitrary order are presented. The ...