OSA/COPD Overlap: Convergence on a Theme?

In uence of Overlap on the Convergence Rate ofWaveform

We consider a waveform relaxation method applied to the inhomogeneous heat equation with piecewise continuous initial and boundary conditions and a bounded HH older continuous forcing function. Traditionally, to obtain a waveform relaxation algorithm, the equation is rst discretized in space and the discrete matrix is split. Superlinear convergence on bounded time intervals can be shown but the...

Variations on a theme.

A ring satisfying x = x is necessarily commutative. We consider a variety of weaker forms of this condition and show that many but not all of them imply commutativity. We also present a variety of elementary proofs of the fact that x = x implies commutativity.

Variations on a Theme

Variations on a Montagovian theme

What are the objects of knowledge, belief, probability, apriority or analyticity? For at least some of these properties, it seems plausible that the objects are sentences, or sentence-like entities. However, results from mathematical logic indicate that sentential properties are subject to severe formal limitations. After surveying these results, I argue that they are more problematic than ofte...

Convergence Rate and Locality of Improved Overlap Fermions

We construct new Ginsparg-Wilson fermions for QCD by inserting an approximately chiral Dirac operator — which involves ingredients of a perfect action — into the overlap formula. This accelerates the convergence of the overlap Dirac operator by a factor of 5 compared to the standard construction, which inserts the Wilson fermion as a point of departure. In addition the level of locality is clea...