3 papers
math.NA2015
A Parameter Choice Strategy for the Inversion of Multiple Observations
C. Gerhards, S. Pereverzyev, P. Tkachenko
In many geoscientific applications, multiple noisy observations of different origin need to be combined to improve the reconstruction of a common underlying quantity. This naturall…
math.NA2015
Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere
Sergei. V. Pereverzyev, Ian. H. Sloan, Pavlo Tkachenko
We consider a polynomial reconstruction of smooth functions from their noisy values at discrete nodes on the unit sphere by a variant of the regularized least-squares method of An…
math.NA2015
Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions
Hui Cao, Sergei V. Pereverzyev, Ian H. Sloan +1
In this paper, a two-step regularization method is used to solve an ill-posed spherical pseudo-differential equation in the presence of noisy data. For the first step of regulariza…