Asynchronous parallel methods for enclosing solutions of nonlinear equations (Q1900751)

The work is dedicated to parallel iterative methods for calculating enclosures of solutions of systems of nonlinear equations. Asynchronous iterative methods are discussed. A lot of attention is paid to study the convergence of asynchronous iterations in interval spaces. The results of convergence of asynchronous iterations are used for explanation of using asynchronous iterations in the known interval methods for the solution of systems of linear equations. Results of numerical experiments of solving the Dirichlet difference problem for a second-order nonlinear equation are presented. The numerical experiments are realized on a parallel computer with shared memory Cray Y-MP. The obtained acceleration on a parallel computer with realization of synchronous and asynchronous methods is calculated.