The proof of Tchakaloff's Theorem
Christian Bayer, Josef Teichmann
Abstract
We provide a simple proof of Tchakaloff's Theorem on the existence of cubature formulas of degree m for Borel measures with moments up to order m. The result improves known results for non-compact supports, since we do not need conditions on (m+1)st moments.
Create a lesson
Related papers
To lift or not to lift: Operator inference for nonlinear PDEs with boundary control
Zhuoyuan Wang, Yorie Nakahira, Wael H. Ali et al.
Sobolev--Poincaré inequalities for piecewise W2,p functions over general polytopic meshes
Michele Botti, Lorenzo Mascotto
Robust Multigrid on Adaptive Meshes for the Integral Fractional Laplacian
Markus Faustmann, Paula Hilbert, Ani Miraçi et al.
A Tensor-Network Chebyshev--Galerkin Method for Boundary-Value Problems in Computational Mechanics
Juan José Rodríguez-Aldavero, Ángel de la Rosa Velasco, Juan José García-Ripoll
A volume-conserving ALE continuous Galerkin method with residual-based Dirichlet--Neumann fluxes for nonlinear free-surface waves
Fan Wang, Yinhua Xia, Yan Xu
A weak Galerkin finite element method for the coupled Stokess-Biot problem
Rui Li, Hui Peng, Xiuli Wang