12 citations · 46 across the 16 of their papers we have counts for
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math.NA2020★ 3 cited
Constructing Positive Interpolatory Cubature Formulas
Jan Glaubitz
Positive interpolatory cubature formulas (CFs) are constructed for quite general integration domains and weight functions. These CFs are exact for general vector spaces of continuo…
math.NA2020
Stable High Order Quadrature Rules for Scattered Data and General Weight Functions
Jan Glaubitz
Numerical integration is encountered in all fields of numerical analysis and the engineering sciences. By now, various efficient and accurate quadrature rules are known; for instan…
math.NA2020
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points
Jan Glaubitz, Philipp Oeffner
In this work, we propose and investigate stable high-order collocation-type discretisations of the discontinuous Galerkin method on equidistant and scattered collocation points. We…