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Chapter
On Global Minimization in Mathematical Modelling of Engineering Applications
Many problems in engineering, physics, economic and other subjects may be formulated as optimization problems, where the minimum value of an objective function should be found. Mathematically the problem is fo...
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Chapter and Conference Paper
Implementation of a Black-Box Global Optimization Algorithm with a Parallel Branch and Bound Template
A new derivative-free global optimization algorithm is proposed for solving nonlinear global optimization problems. It is based on the Branch and Bound (BnB) algorithm. BnB is a general algorithm to solve opti...
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Chapter and Conference Paper
Parallel Tool for Solution of Multiphase Flow Problems
ParSol is a library for semiautomatic parallelization of data parallel algorithms. It offers sequential and parallel arrays to be used in C/C++ algorithm implementations. The tool is deve...
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Chapter and Conference Paper
Parallel Global Optimization of Foundation Schemes in Civil Engineering
The important problem in civil engineering is obtaining optimal pile placement schemes for grillage-type foundations. The standard technique for solution of problem is application of local optimization methods...
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Chapter and Conference Paper
Parallel LOD Scheme for 3D Parabolic Problem with Nonlocal Boundary Condition
A parallel LOD algorithms for solving the 3D problem with nonlocal boundary condition is considered. The algorithm is implemented using the parallel array object tool ParSol, then a parallel algorithm follows sem...
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Book and Conference Proceedings
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Chapter and Conference Paper
Mathematical Modeling is a Source of Novel Mathematical Problems
This paper deals with some examples of new mathematical problems which were formulated during the mathematical modeling of real-world applications. Mostly we investigate numerical algorithms for solving system...
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Chapter and Conference Paper
Parameters Identification for Wood Drying
The importance of the process of drying solids in industry is widely recognized for some time now. The energy consumption in drying and its proportion in total energy balance has been often emphasized by vario...
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Chapter and Conference Paper
Numerical Algorithms for Solving Elliptic-Parabolic Problems
This paper deals with numerical algorithms for solving elliptic-parabolic problems. An example of such problem is given by the Richards equation for modeling the saturated-unsaturated water flow in porous medi...
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Chapter and Conference Paper
Examples of Asymptotical Analysis of Hyperbolic Equations
We consider a system of weakly nonlinear equations with a small positive parameter ε:
1 $${U_t} + A(U){U_x} = \vare... -
Chapter
Finite-Difference Schemes for a Nonlinear Parabolic Problem with Nonlocal Boundary Conditions
Consider the nonlinear parabolic equation
(9.1) $$ \frac{{\partial u}} {{\partial t}} = \frac{\partial } {{\partial x}}(p(x)\frac{{\part... -
Chapter and Conference Paper
A Mathematical Model of the Cardiovascular System
Different approaches to the mathematical modelling of the cardiovascular system are discussed. The compartment model is used as a basis for construction of a simplified model, which can be useful in the invest...
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Chapter and Conference Paper
On the Efficiency of Scheduling Algorithms for Parallel Gaussian Elimination with Communication Delays
We consider the Gaussian elimination method on parallel distributed memory computers. A theoretical model for the performance prediction is developed. It takes into account the workload distribution and the co...
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Article
Additive splitting methods for elliptic-parabolic problems
In questo lavoro vengono proposti tre diversi schemi di decomposizione alle differenze finite per la risoluzione numerica di problemi ellittico-parabolici non lineari in 3D. Negli algoritmi sono incluse strate...
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Chapter and Conference Paper
Hyper-Rectangle Distribution Algorithm for Parallel Multidimensional Numerical Integration
In this paper we consider parallel numerical integration algorithms for multi-dimensional integrals. A modified algorithm of hyper-rectangle selection and distribution strategy is proposed for the implementati...
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Chapter and Conference Paper
Hyper-rectangle selection strategy for parallel adaptive numerical integration
In this paper we consider the problem of numerical integration of multidimensional integrals. A new hyper-rectangle selection strategy is proposed for the implementation of globally adaptive parallel quadratur...
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Chapter and Conference Paper
Numerical integration on distributed-memory parallel systems
In this paper we describe the implementation of numerical adaptive algorithms for multi-dimensional quadrature on distributed-memory parallel systems. The algorithms are targeted at clusters of workstations wi...
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Article
On a general method for investigation of finite difference schemes
