12 citations · 33 across the 5 of their papers we have counts for
8 papers · 1 filter
Energy-stable global radial basis function methods on summation-by-parts form
Jan Glaubitz, Jan Nordström, Philipp Öffner
Radial basis function methods are powerful tools in numerical analysis and have demonstrated good properties in many different simulations. However, for time-dependent partial diff…
Sequential image recovery from noisy and under-sampled Fourier data
Yao Xiao, Jan Glaubitz, Anne Gelb +1
A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is m…
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions
Jan Glaubitz, Anne Gelb
It is well understood that boundary conditions (BCs) may cause global radial basis function (RBF) methods to become unstable for hyperbolic conservation laws (CLs). Here we investi…
Towards Stable Radial Basis Function Methods for Linear Advection Problems
Jan Glaubitz, Elise Le Mélédo, Philipp Öffner
In this work, we investigate (energy) stability of global radial basis function (RBF) methods for linear advection problems. Classically, boundary conditions (BC) are enforced stro…
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…
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…