The spectral estimation method based on the average of short, tapered periodograms is re-examined. The bias of such estimators is typically O(1/b2), where b is the length of the short blocks. Much of the current researeh ...

The determination of the boundary of a cavity, defined here as a perfectly insulated inclusion, within a conducting medium from a single voltage and current flux measurements on the accessible boundary of the medium, can ...

In this work we apply the Method of Fundamental Solutions (MFS) with fixed singularities and boundary collocation to certain axisymmetric harmonic and biharmonic problems. By exploiting the block circulant structure of the ...

In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial differential equations is investigated, and the performance of various least squares routines used for the solution of the ...

We present a general method for extending decomposition systems of L 2(ℝd) to decomposition systems for the anisotropic Triebel-Lizorkin and Besov spaces, Fp,qα,s and Bp,qα,s, respectively, for the full range of the indexes. ...

A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated ...

Στην παρούσα διατριβή μελετώνται διάφορα προβλήματα της Γεωμετρικής Θεωρίας Συναρτήσεων και της Αρμονικής Ανάλυσης. Στο πρώτο κεφάλαιο αποδεικνύεται νέα επέκταση της ανισότητας ημιτόνου του Vietoris. Το ίδιο κεφάλαιο ...