Information Sciences and Technologies Bulletin of the ACM Slovakia Stiff Systems Analysis IMS service provisioning improvement Support for Creating Robust Plans and Schedules Generalized Multilinear Model for Dimensionality Reduction of Binary Tensors Development of Domain-Specific Languages Based on Generic Syntax and Functional Composition Stiff Systems Analysis

V Šátek, T Kovácik, P Jankovic, J Mažgut, S Chodarev, L Stareèek, Mária Bieliková, Johann, Viliam Geffert, Tomáš Hruška, Robert Lorencz, Karol Matiaško (+9 others)
2012 unpublished
Digital circuits test optimization by multifunctional components 1 12 23 35 47 54 Aim and Scope of the Information Sciences and Technologies Bulletin of the ACM Slovakia ACM Slovakia offers a forum for rapid dissemination of research results in the area of computing/informatics and more broadly of information and communication sciences and technologies. It is primarily a web based bulletin publishing results of dissertations submitted at any university in Slovakia or elsewhere, perhaps also
more » ... lts of outstanding master theses. Besides that, conferences that meet bulletin's expectations with regard to scientific rigor are invited to consider publishing their papers in the bulletin in form of special issues. Besides the web version of the bulletin, a paper version is available, too. The Bulletin aims: • To advance and to increase knowledge and interest in the science, design, development, construction , languages, management and applications of modern computing a.k.a. informatics, and more broadly of information and communication sciences and technologies. • To facilitate a communication between persons having an interest in information and communication sciences and technologies by providing a forum for rapid dissemination of scholarly articles. Scope of the Bulletin is: • original research in an area within the broader family of information sciences and technologies, with a particular focus on computer science, computer engineering, software engineering and information systems, and also other similarly well established fields such as artificial intelligence or information science. Abstract The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a diffult task. In spite of the fact that we come across stiff systems quite often in the common practice, a very interesting and promissing numerical method of solving systems of ordinary differential equations (ODE) based on Taylor series has appeared. The question was how to harness the said "Modern Taylor Series Method" (MTSM) for solving of stiff systems. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and explicit solution of large systems of ODE has been found. Detailed analysis of stability and convergence of explicit and implicit Taylor series is presented and a new algorithm using implicit Taylor series based on recurrent calculation of Taylor series terms and Newton iteration method (ITMRN) is described. The new method reducing stiffness in system based on finding new equivalent system of ODE "without stiffness" is introduced.
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