We investigate characteristic features of four different software packages by applying them to the numerical solution of a non-trivial physical problem in computer simulation, viz., scattering of waves from a sinusoidal boundary. The numerical method used is based on boundary collocation. This...

The integration of differential equations by recurrent power series is a classical method in ODE. This method is valid on very long spans of integration and unusually large step-sizes. However, this method is rarely used, mainly since each problem requires a specific formulation.

This article discusses the approach of developing MuPAD into an open and parallel problem solving environment for mathematical applications. It introduces the key technologies domains and dynamic modules and describes the current state of macroparallelism which covers three fields of parallel...

We describe the distributed object-oriented threads system (DOTS), a programming environment designed to support object-oriented fork/join parallel programming in a heterogeneous distributed environment. A mixed network of Windows NT PCs and UNIX workstations is transformed by DOTS into a...

We shall deal with the system of von Kármán equations describing great deflections of thin plates. Most papers mainly from the 1960s and the 1970s are devoted to stationary nonlinear systems with elliptic main parts. We shall concentrate on viscoelastic plates modelled by a nonstationary...

The paper deals with mathematical simulation of a loosened hip joint, simulation of mechanical processes taking place during static and dynamic burdening and their mathematical description. The main result of the paper consists of the existence theorem and the analysis of the loosened total hip...

Since the collapse of Tacoma Narrows Bridge in 1940, scientists try to find out and clear up the real cause of this disaster. The main problem seems to be the fundamental nonlinearity of a dynamical system describing a behavior of a suspension bridge which results in its nonunique solvability....

Many graph invariants (chromatic number, rook polynomial, Tutte polynomial, etc.) are known to be computable for general graphs in exponential time only. Algorithms for their computation usually depend on special properties of the invariants and are not extendable to slightly different problems.

A method is described to solve a nonlinear parameter optimization problem with several objective functions. The method is applied to find the optimal design of a permanent magnet synchronous generator. The generator is part of a 1.5MW wind turbine system, and is optimized in order to maximize...

This paper presents a statistical analysis and interpretation of resistivity sounding data, with the objective of establishing an optimal earth model for rocky soil. The parameters obtained are used as input data for a CAD of the earthing grids of an electric power substation. In this analysis,...