15 citations · 34 across the 19 of their papers we have counts for
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math.NA2023
Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation
Ian H. Sloan, Vesa Kaarnioja
Convergence rates for approximation in a Hilbert space are a central theme in numerical analysis. The present work is inspired by Schaback (Math. Comp., 1999), who showed…
math.NA2023
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions
Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
We describe a fast method for solving elliptic partial differential equations (PDEs) with uncertain coefficients using kernel interpolation at a lattice point set. By representing…
math.NA2023
Application of dimension truncation error analysis to high-dimensional function approximation in uncertainty quantification
Philipp A. Guth, Vesa Kaarnioja
Parametric mathematical models such as parameterizations of partial differential equations with random coefficients have received a lot of attention within the field of uncertainty…