Abstract The main goal of this paper is to obtain error bounds for parabolic integro-differential equation. derivation these based elliptic and Ritz -Volterra reconstructions introduced by Makridakis Nochetto 2003 then extended - Volterra reconstruction in case integro-parabolic differential problems Reddy Sinha 2015. We proved optimal order certain classes semilinear intergro equations. key po...

This paper combines two ingredients in order to get a rather surprising result on one of the most studied, elegant and powerful tools for solving convex feasibility problems, method alternating projections (MAP). Going back names such as Kaczmarz von Neumann, MAP has ability track pair points realizing minimum distance between given closed sets. Unfortunately, may suffer from arbitrarily slow c...

We consider convex and nonconvex constrained optimization with a partially separable objective function: Agents minimize the sum of local functions, each which is known only by associated agent depends on variables that those few others. This partitioned setting arises in several applications practical interest. propose what is, to best our knowledge, first distributed, asynchronous algorithm r...