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Introduction

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Abstract

Problems involving synthesis of mathematical models of various physical systems, making use of these models in practice and verifying them qualitatively has become an especially important area of research since more and more physical experiments are being replaced by computer simulations. Such simulations should make it possible to carry out a comprehensive analysis of the various properties of the system being modelled. Most importantly its dynamic properties can be addressed in a situation where this would be difficult or even impossible to achieve through a direct physical experiment. To carry out a simulation of a real, physi cally existing system it is necessary to have its mathematical description; the sys tem being described mathematically by equations, which include certain variables, their derivatives and integrals. If a single independent variable is sufficient in or der to describe the system, then derivatives and integrals with respect to only that variable will appear in the equations. Differentiation of the equation allows the integrals to be eliminated and produces an equation which includes derivatives with respect to only one independent variable i.e.

Keywords

Computer Simulation Input Signal Seismic Wave Acoustic Pressure Explosive Charge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  1. 1.Faculty of Electrical and Computer Engineering Institute of Electrical MetrologyCracow University of TechnologyKrakowPoland

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