A parallel numerical method for abstract final value problem based on nonlocal regularization

Abstract

We consider a final value problem for the first order differential equation with unbounded operator coefficient in Banach space. The given problem is regularized by the two-point non-local condition with parameter. An exponentially convergent numerical method is, then, constructed and justified for the solution of the regularized problem. Software implementation of the method admits multilevel parallelizitation of computations.