AbstractWe introduce parallel interval Newton–Schwarz-like methods for nonlinear systems of equations arising from discretizations of almost linear parabolic problems. By applying interval techniques, we get global convergence properties and verified enclosures. Parallelism is introduced by domain decomposition. Numerical results from a SGI Altix 3700 are included
A model parabolic linear partial differential equation in a geometrical multi-scale domain is studie...
Abstract. Inexact Newton algorithms are commonly used for solving large sparse nonlinear system of e...
Abstract In this paper, a new parallel algorithm for solving parabolic equations is proposed. The ne...
AbstractWe introduce parallel interval Newton–Schwarz-like methods for nonlinear systems of equation...
AbstractParallel algorithms combining a time discretization and overlapping domain decomposition met...
The parallel Schwarz method is an important algorithm for the numerical solution of partial differen...
Domain decomposition algorithms for parallel numerical solution of parabolic equations are studied f...
Abstract. Convergence properties are presented for Newton additive and multiplicative Schwarz iterat...
AbstractThe Schwarz Alternating Method can be used to solve elliptic boundary value problems on doma...
We present three parallel solvers for parabolic equation. The solution methods, which are based on n...
Domain decomposition methods with a finite volume discretization to solve a parabolic linear partial...
We introduce an interval Newton method for bounding solutions of systems of nonlinear equations. It ...
AbstractWe report a new parallel iterative algorithm for semi-linear parabolic partial differential ...
. Domain decomposition algorithms based on the Schwarz alternating method are developed for the nume...
International audienceWe propose and analyse a parallel method, both in the time and space direction...
A model parabolic linear partial differential equation in a geometrical multi-scale domain is studie...
Abstract. Inexact Newton algorithms are commonly used for solving large sparse nonlinear system of e...
Abstract In this paper, a new parallel algorithm for solving parabolic equations is proposed. The ne...
AbstractWe introduce parallel interval Newton–Schwarz-like methods for nonlinear systems of equation...
AbstractParallel algorithms combining a time discretization and overlapping domain decomposition met...
The parallel Schwarz method is an important algorithm for the numerical solution of partial differen...
Domain decomposition algorithms for parallel numerical solution of parabolic equations are studied f...
Abstract. Convergence properties are presented for Newton additive and multiplicative Schwarz iterat...
AbstractThe Schwarz Alternating Method can be used to solve elliptic boundary value problems on doma...
We present three parallel solvers for parabolic equation. The solution methods, which are based on n...
Domain decomposition methods with a finite volume discretization to solve a parabolic linear partial...
We introduce an interval Newton method for bounding solutions of systems of nonlinear equations. It ...
AbstractWe report a new parallel iterative algorithm for semi-linear parabolic partial differential ...
. Domain decomposition algorithms based on the Schwarz alternating method are developed for the nume...
International audienceWe propose and analyse a parallel method, both in the time and space direction...
A model parabolic linear partial differential equation in a geometrical multi-scale domain is studie...
Abstract. Inexact Newton algorithms are commonly used for solving large sparse nonlinear system of e...
Abstract In this paper, a new parallel algorithm for solving parabolic equations is proposed. The ne...
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