A category of finite aspect equipment, the Discontinuous Galerkin tools (DGM), has been less than fast improvement lately and has chanced on its use in a short time in such diversified purposes as aeroacoustics, semi-conductor machine simula tion, turbomachinery, turbulent flows, fabrics processing, MHD and plasma simulations, and photograph processing. whereas there was loads of curiosity from mathematicians, physicists and engineers in DGM, purely scattered details is out there and there was no past attempt in organizing and publishing the prevailing quantity of data in this topic. In may well 24-26, 1999 we geared up in Newport (Rhode Island, USA), the 1st foreign symposium on DGM with equivalent emphasis at the idea, numerical implementation, and functions. Eighteen invited audio system, lead ers within the box, and thirty-two members provided quite a few facets and addressed open matters on DGM. during this quantity we contain forty-nine papers awarded within the Symposium in addition to a survey paper written by means of the organiz ers. All papers have been peer-reviewed. A precis of those papers is integrated within the survey paper, which additionally offers a historic viewpoint 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's meant for college kids and researchers who paintings in concept and alertness of numerical answer 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 equipment.
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