Juntao Huang

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In this paper, we focus on error estimates to smooth solutions of semi-discrete discontin-uous Galerkin (DG) methods with quadrature rules for scalar conservation laws. The main techniques we use are energy estimate and Taylor expansion first introduced by Zhang and Shu in [24]. We show that, with P k (piecewise polynomials of degree k) finite elements in(More)
This paper addresses how to manage planar spatial data using MongoDB, a popular NoSQL database characterized as a document-oriented, rich query language and high availability. The core idea is to flatten a hierarchical R-tree structure into a tabular MongoDB collection, during which R-tree nodes are represented as collection documents and R-tree pointers(More)
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