Parallel Interval Multisplittings.
Parallel Laguerre Iterations: The Complex Case.
Parallel method for initial value problems for linear ordinary differential equations: speed up estimation
Parallel method of conjugate directions for minimization
Parallel methods for solving partial differential equations
Parallel methods for solving the linear algebraic systems.
Parallel methods in image recovery by projections onto convex sets
Parallel Nonlinear Multisplitting Methods.
Parallel programming and optimization of heat radiation intensity
This article focuses on the practical possibilities of a suitable use of parallel programming during the computational processing of heat radiation intensity optimization across the surface of an aluminium or nickel mould. In practice, an aluminium or nickel mould is first preheated by infrared heaters located above the outer mould surface. Then the inner mould surface is sprinkled with a special PVC powder and the outer mould surface is continually warmed by infrared heaters. This is an energy-efficient...
Parallel QR Decomposition of a Rectangular Matrix.
Parallel realization of the finite difference method solution of the Poisson-Boltzmann equation
Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation
We present in this paper a proof of well-posedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an N-dimensional semilinear heat equation. Since the equation we study is an evolution one, each subproblem at each step has its own local existence time, we then determine a common existence time for every problem in any subdomain at any step. We also introduce a new technique: Exponential Decay Error Estimates, to prove the convergence of the Schwarz Methods, with...
Parallel solution of elasticity problems using overlapping aggregations
The finite element (FE) solution of geotechnical elasticity problems leads to the solution of a large system of linear equations. For solving the system, we use the preconditioned conjugate gradient (PCG) method with two-level additive Schwarz preconditioner. The preconditioning is realised in parallel. A coarse space is usually constructed using an aggregation technique. If the finite element spaces for coarse and fine problems on structural grids are fully compatible, relations between elements...
Parallel strategies for solving the FETI coarse problem in the PERMON toolbox
PERMON (Parallel, Efficient, Robust, Modular, Object-oriented, Numerical) is a newly emerging collection of software libraries, uniquely combining Quadratic Programming (QP) algorithms and Domain Decomposition Methods (DDM). Among the main applications are contact problems of mechanics. This paper gives an overview of PERMON and selected ingredients improving scalability, demonstrated by numerical experiments.
Parallel SVD computation
Parallel synchronous algorithm for nonlinear fixed point problems.
Parallel, synchronous and asynchronous two-stage multisplitting methods.
Parallélisation d'une combinaison des méthodes de Monte-Carlo et quasi-Monte-Carlo et application aux réseaux de files d'attente
Parallélisation d'une Combinaison des Méthodes de Monte-Carlo et Quasi-Monte-Carlo et Application aux Réseaux de Files d'Attente
We propose a parallel algorithm which uses both Monte-Carlo and quasi-Monte-Carlo methods. A detailed analysis of this algorithm, followed by examples, shows that the estimator's efficiency is a linear function of the processor number. As a concrete application example, we evaluate performance measures of a multi-class queueing network in steady state.
Parallelization algorithms for modeling ARM processes.