A category of finite point tools, the Discontinuous Galerkin tools (DGM), has been less than quick improvement lately and has chanced on its use in a short time in such varied purposes as aeroacoustics, semi-conductor machine simula­ tion, turbomachinery, turbulent flows, fabrics processing, MHD and plasma simulations, and picture processing. whereas there was loads of curiosity from mathematicians, physicists and engineers in DGM, in basic terms scattered details is out there and there was no previous attempt in organizing and publishing the present quantity of information in this topic. In may perhaps 24-26, 1999 we prepared in Newport (Rhode Island, USA), the 1st foreign symposium on DGM with equivalent emphasis at the concept, numerical implementation, and functions. Eighteen invited audio system, lead­ ers within the box, and thirty-two members offered a variety of facets and addressed open matters on DGM. during this quantity we comprise forty-nine papers awarded within the Symposium in addition to a survey paper written by way of the organiz­ ers. All papers have been peer-reviewed. A precis of those papers is incorporated within the survey paper, which additionally offers a historic point of view of the evolution of DGM and its relation to different numerical tools. we are hoping this quantity becomes an important reference during this subject. it really is meant for college kids and researchers who paintings in thought and alertness of numerical resolution of convection ruled partial differential equations. The papers have been written with the idea that the reader has a few wisdom of classical finite components and finite quantity tools.

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