C. Rieger and H. Wendland Sampling Inequalities for Anisotropic Tensor Product Grids IMA Journal of Numerical Analysis 2019 https://doi.org/10.1093/imanum/dry080
2018
D. Dũng, M. Griebel, V. N. Huy and C. Rieger $\varepsilon$-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs Journal of Complexity, 46: 66--89 2018 10.1016/j.jco.2017.12.001
M. Griebel, C. Rieger and B. Zwicknagl Regularized Kernel-Based Reconstruction in Generalized Besov Spaces Foundations of Computational Mathematics, 18(2): 459--508 2018 10.1007/s10208-017-9346-z
M. Griebel and C. Rieger Reproducing kernel Hilbert spaces for parametric partial differential equations SIAM/ASA J. Uncertainty Quantification, 5: 111-137 2017 10.1137/15M1026870
C. Rieger and H. Wendland Sampling Inequalities for Sparse Grids Numerische Mathematik 2017 10.1007/s00211-016-0845-7
2015
Michael Griebel, Christian Rieger and Barbara Zwicknagl Multiscale approximation and reproducing kernel Hilbert space methods SIAM Journal on Numerical Analysis, 53(2): 852-873 2015 http://dx.doi.org/10.1137/130932144
2014
Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger and Joseph D. Ward An inverse theorem on bounded domains for meshless methods using localized bases 2014 http://arxiv.org/pdf/1406.1435v1