Journal:Informatica
Volume 9, Issue 2 (1998), pp. 123–140
Abstract
In this paper we describe implementation of numerical adaptive algorithms for multi-dimensional quadrature on distributed-memory parallel systems. The algorithms are targeted at clusters of workstations with standard message passing interfaces, e.g., PVM or MPI. The most important issues are communication and load balancing. Static and dynamic partitioning of the region are considered. Numerical results on various workstation clusters are reported.
Journal:Informatica
Volume 7, Issue 3 (1996), pp. 295–310
Abstract
In this paper we consider the problem of solving 3D diffusion problems on distributed memory computers. We present a parallel algorithm that is suitable for the number of processors less or equal 8. The pipelining method is used to enlarge the number of processors till 64. The computational grid decomposition method is proposed for heterogenous clusters of workstations which preserves the load balancing of computers. The numerical results for two clusters of workstations are given.
Journal:Informatica
Volume 7, Issue 3 (1996), pp. 281–294
Abstract
This paper deals with load balancing of parallel algorithms for distributed-memory computers. The parallel versions of BLAS subroutines for matrix-vector product and LU factorization are considered. Two task partitioning algorithms are investigated and speed-ups are calculated. The cases of homogeneous and heterogeneous collections of computers/processors are studied, and special partitioning algorithms for heterogeneous workstation clusters are presented.
Journal:Informatica
Volume 7, Issue 2 (1996), pp. 155–166
Abstract
Weak approximation methods for initial value problem for the parabolic equation are considered. We propose some simple tests to investigate the quality of RNG used in Monte-Carlo simulations. Numerical examples are given to illustrate the application of stochastic approximation methods.
Journal:Informatica
Volume 6, Issue 1 (1995), pp. 15–33
Abstract
This paper deals with mathematical modelling of diabetes mellitus. A recent classification of diabetes mellitus is given and a new approach in constructing a mathematical model of this disease is described. The aim of mathematical modelling is to help a patient and his doctor in management of diabetes. The algorithms for solving inverse problems of coefficients reconstruction are investigated. Results of computational experiments are given.
Journal:Informatica
Volume 5, Issues 3-4 (1994), pp. 297–323
Abstract
The convergence properties of some LOD schemes are considered. New stability estimates with respect to boundary conditions are proved. These results are used to investigate the accuracy of LOD schemes when no special boundary correction technique is used for the realization of LOD schemes. The accuracy of LOD schemes with corrected boundary conditions is also investigated. Results of the computational experiment are given.
Journal:Informatica
Volume 4, Issues 3-4 (1993), pp. 277–294
Abstract
This paper is devoted to the new approach in the stability analysis of steady state solutions. Two important nonlinear optics problems are used as model problems. Stability properties of classical and splitting difference schemes are investigated. Some numerical results are given.
Journal:Informatica
Volume 4, Issues 1-2 (1993), pp. 126–139
Abstract
This paper is devoted to the investigation of the investigation of the convergence of iterative methods for solving boundary value problems with discontinuous coefficients. The dependence of the rate of convergence on the size of the discontinuity of coefficients is analyzed for three popular general iterative methods. A new criterion on the applicability of such methods is proposed and investigated. The efficiency of this criterion is demonstrated for a model problem.
Journal:Informatica
Volume 3, Issue 2 (1992), pp. 159–172
Abstract
This paper is devoted to the investigation of difference schemes for the solution of an important free-surface problem: modelling of a liquid-metal contact. The existence of a solution and the convergence of proposed iterative processes are investigated in a weak sense, using the alternative form of the problem as a nonlinear constrained minimization problem.