Titlebook: Nodal Discontinuous Galerkin Methods; Algorithms, Analysis Jan S. Hesthaven,Tim Warburton Textbook 2008 Springer-Verlag New York 2008 3D.An

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Insight through theory,thod can be gained by revisiting some issues in more detail. To keep things relatively simple, we focus on the properties of the scheme for one-dimensional linear problems. However, as we will see later, many of the results obtained here carry over to multidimensional problems and even nonlinear pro

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Beyond one dimension,nal problems. In this chapter we consider in more detail the extension to multidimensional problems and the challenges introduced by this. We will quickly realize that what may have seemed unnecessarily complicated in the one-dimensional case now enables us to expand the formulation to multiple dime

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Higher-order equations,nd in agreement with the strong theoretical foundation. It is natural to ask whether one can extend the formulation to include more general problem types. This is the topic of this chapter and, as we will see shortly, the generalization to deal with higher-order spatial operators is less direct than

STALL

Spectral properties of discontinuous Galerkin operators, the spectral properties of the operators apart from the discussion of the numerical dispersion relations in Section 4.6. In that discussion it became clear that the eigenvalues of the operators play a key role when determining the properties of the discrete operators and, thus, the behavior of the

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Curvilinear elements and nonconforming discretizations,ise linear and all elements share faces of equal size and order of approximation. However, one of the major advantages of discontinuous Galerkin (DG) methods lies in their flexibility to go beyond these cases and support more complex situation..In this chapter we discuss the modifications required t

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e traditional approach consists in using the data from the surface structure of texts, i.e., the linear structure..In this book, we propose and systematize the concept of syntactic n-grams, which allows using syntactic information within the automatic text processing methods related to classificatio

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e traditional approach consists in using the data from the surface structure of texts, i.e., the linear structure..In this book, we propose and systematize the concept of syntactic n-grams, which allows using syntactic information within the automatic text processing methods related to classificatio