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- W4385350090 abstract "Abstract Moderately high-dimensional approximation problems can successfully be solved by combining univariate approximation processes using an intelligent combination technique. While this has so far predominantly been done with either polynomials or splines, we suggest to employ a multilevel kernel-based approximation scheme. In contrast to those schemes built upon polynomials and splines, this new method is capable of combining arbitrary low-dimensional domains instead of just intervals and arbitrarily distributed points in these low-dimensional domains. We introduce the method and analyse its convergence in the so-called isotropic and anisotropic cases." @default.
- W4385350090 created "2023-07-29" @default.
- W4385350090 creator A5058428848 @default.
- W4385350090 creator A5066096555 @default.
- W4385350090 date "2023-07-28" @default.
- W4385350090 modified "2023-09-23" @default.
- W4385350090 title "High-dimensional approximation with kernel-based multilevel methods on sparse grids" @default.
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- W4385350090 doi "https://doi.org/10.1007/s00211-023-01363-x" @default.
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