Peter Oswald
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View article: Convergence analysis of online algorithms for vector-valued kernel regression
Convergence analysis of online algorithms for vector-valued kernel regression Open
We consider the problem of approximating the regression function $f_μ:\, Ω\to Y$ from noisy $μ$-distributed vector-valued data $(ω_m,y_m)\inΩ\times Y$ by an online learning algorithm using a reproducing kernel Hilbert space $H$ (RKHS) as p…
View article: The Cruise of three European Seas of RV Belgica/Boris Aleksandrov – Microplastics in seabed sediment and surface waters – including a comparison of devices for surface water sampling
The Cruise of three European Seas of RV Belgica/Boris Aleksandrov – Microplastics in seabed sediment and surface waters – including a comparison of devices for surface water sampling Open
As part of the handover of the research vessel Belgica recently renamed to "Boris Aleksandrov" from Belgium to Ukraine in autumn 2021, the transfer from Zeebrugge to Odessa was undertaken - the Cruise of Three European Seas of the RV Belgi…
View article: Multivariate Haar systems in Besov function spaces
Multivariate Haar systems in Besov function spaces Open
We determine all cases for which the -dimensional Haar wavelet system on the unit cube is a conditional or unconditional Schauder basis in the classical isotropic Besov function spaces , , , defined in terms of first-order -moduli of smoot…
View article: Hekla Revisited: Fractionation of a Magma Body at Historical Timescales
Hekla Revisited: Fractionation of a Magma Body at Historical Timescales Open
Hekla is an elongate volcano that lies at the intersection of the South Iceland Seismic Zone and the Eastern Volcanic Zone. We report major and trace element, oxygen isotopic, and H2O analyses on rocks, glass, melt inclusions, and minerals…
View article: S70 | EISUSGCEIMS | Environmental Institute GC-EI-MS suspect list
S70 | EISUSGCEIMS | Environmental Institute GC-EI-MS suspect list Open
GC-EI-MS suspect list of Environmental Institute. Provided by Peter Oswald, Nikiforos Alygizakis, Martina Oswaldova, Jaroslav Slobodnik. Dataset DOI: 10.5281/zenodo.3894827.
View article: Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1
Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1 Open
We show that the d-dimensional Haar system H^d on the unit cube I^d is a Schauder basis in the classical Besov space B_{p,q,1}^s(I^d), 0
View article: Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1
Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1 Open
We show that the d-dimensional Haar system H^d on the unit cube I^d is a Schauder basis in the classical Besov space B_{p,q,1}^s(I^d), 0<p<1, defined by first order differences in the limiting case s=d(1/p-1), if and only if 0<q\le p. For …
View article: Estimates for generalized sparse grid hierarchical basis preconditioners
Estimates for generalized sparse grid hierarchical basis preconditioners Open
We reconsider some estimates the paper "M. Griebel, P. Oswald, On additive Schwarz preconditioners for sparse grid discretizations. Numer. Math. 66 (1994), 449-463" concerning the hierarchical basis preconditioner for sparse grid discretiz…
View article: Nonconforming P1 elements on distorted triangulations: Lower bounds for the discrete energy norm error
Nonconforming P1 elements on distorted triangulations: Lower bounds for the discrete energy norm error Open
Compared to conforming P1 finite elements, nonconforming P1 finite element discretizations are thought to be less sensitive to the appearance of distorted triangulations. E.g., optimal-order discrete $H^1$ norm best approximation error est…
View article: Hilbert function space splittings on domains with infinitely many\n variables
Hilbert function space splittings on domains with infinitely many\n variables Open
We present an approach to defining Hilbert spaces of functions depending on\ninfinitely many variables or parameters, with emphasis on a weighted tensor\nproduct construction based on stable space splittings, The construction has\nbeen use…
View article: Nonconforming P1 elements on distorted triangulations: Lower bounds for\n the discrete energy norm error
Nonconforming P1 elements on distorted triangulations: Lower bounds for\n the discrete energy norm error Open
Compared to conforming P1 finite elements, nonconforming P1 finite element\ndiscretizations are thought to be less sensitive to the appearance of distorted\ntriangulations. E.g., optimal-order discrete $H^1$ norm best approximation\nerror …
View article: Hilbert function space splittings on domains with infinitely many variables
Hilbert function space splittings on domains with infinitely many variables Open
We present an approach to defining Hilbert spaces of functions depending on infinitely many variables or parameters, with emphasis on a weighted tensor product construction based on stable space splittings, The construction has been used i…
View article: Dispersion and shape engineered plasmonic nanosensors
Dispersion and shape engineered plasmonic nanosensors Open
Biosensors based on the localized surface plasmon resonance (LSPR) of individual metallic nanoparticles promise to deliver modular, low-cost sensing with high-detection thresholds. However, they continue to suffer from relatively low sensi…
View article: Magnetic Propulsion of Microswimmers with DNA-Based Flagellar Bundles
Magnetic Propulsion of Microswimmers with DNA-Based Flagellar Bundles Open
We show that DNA-based self-assembly can serve as a general and flexible tool to construct artificial flagella of several micrometers in length and only tens of nanometers in diameter. By attaching the DNA flagella to biocompatible magneti…