Some Aspects on [numerical] Stability of Evolution Equations of Stiff Type; Use of Computer Algebra

We are dealing with stiffness phenomena in initial value problems for systems of ordinary differential equations. Such problems appear in many physical applications, for instance, in the modeling of the evolution in time of mechanical systems or of electronic devices. A general theory of stiffness e...

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Bibliographic Details
Published in:	2021 IEEE XVIIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH) pp. 180 - 183
Main Authors:	Auzinger, Winfried, Jawecki, Tobias, Koch, Othmar, Pukach, Petro, Stolyarchuk, Roksolyana, Weinmuller, Ewa
Format:	Conference Proceeding
Language:	English
Published:	IEEE 12-05-2021
Subjects:	Algebra asymptotic damping Computational modeling Conferences Design methodology Gershgorin criterion Micromechanical devices non-normality numerical integration Numerical models order reduction Ordinary differential equations Routh-Hurwitz criterion stiffness transient effects
Online Access:	Get full text
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Summary:	We are dealing with stiffness phenomena in initial value problems for systems of ordinary differential equations. Such problems appear in many physical applications, for instance, in the modeling of the evolution in time of mechanical systems or of electronic devices. A general theory of stiffness effects is not given here. Rather, several concrete examples are discussed in order to support understanding such effects. Use of computer algebra is also a relevant issue of it. For numerical examples we refer to the relevant literature (see References).
ISSN:	2573-5373
DOI:	10.1109/MEMSTECH53091.2021.9468055