3 citations · 4 across the 5 of their papers we have counts for
9 papers
Multivariate Haar systems in Besov function spaces
Peter Oswald
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 Be…
Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1
Peter Oswald
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…
Stochastic subspace correction methods and fault tolerance
Michael Griebel, Peter Oswald
We present convergence results in expectation for stochastic subspace correction schemes and their accelerated versions to solve symmetric positive-definite variational problems, a…
Estimates for generalized sparse grid hierarchical basis preconditioners
Peter Oswald
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…
Stochastic subspace correction in Hilbert space
Michael Griebel, Peter Oswald
We consider an incremental approximation method for solving variational problems in infinite-dimensional Hilbert spaces, where in each step a randomly and independently selected su…
Hilbert function space splittings on domains with infinitely many variables
Michael Griebel, Peter Oswald
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 o…