Autor: Auer, E. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Uses of new sensitivity and DAE solving methods in SMARTMOBILE for verified analysis of mechanical systems
Autorzy:: Auer, E.
Luther, W.
Powiązania:: https://bibliotekanauki.pl/articles/930091.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: układ wieloczłonowy
weryfikacja wyników
wrażliwość
niepewność
multibody systems
result verification
sensitivity
DAE
uncertainty
Opis:: Software for modeling and simulation (MSS) of mechanical systems helps to reduce production costs for industry. Usually, such software relies on (possibly erroneous) finite precision arithmetic and does not take into account uncertainty in the input data. The program SMARTMOBILE enhances the existing MSS MOBILE with verified techniques to provide a guarantee that the obtained results are correct and measure the influence of data uncertainty. In this paper, we outline the main features and functionalities of SMARTMOBILE. In particular, we focus on its use of newly developed methods for sensitivity analysis and DAE solving for several practically relevant mechanical systems.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 455-467
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A verified method for solving piecewise smooth initial value problems
Autorzy:: Auer, E.
Kiel, S.
Rauh, A.
Powiązania:: https://bibliotekanauki.pl/articles/331354.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: interval method
non smooth system
initial value problem
metoda przedziałowa
metoda nie gładka
zagadnienie początkowe
Opis:: In many applications, there is a need to choose mathematical models that depend on non-smooth functions. The task of simulation becomes especially difficult if such functions appear on the right-hand side of an initial value problem. Moreover, solution processes from usual numerics are sensitive to roundoff errors so that verified analysis might be more useful if a guarantee of correctness is required or if the system model is influenced by uncertainty. In this paper, we provide a short overview of possibilities to formulate non-smooth problems and point out connections between the traditional non-smooth theory and interval analysis. Moreover, we summarize already existing verified methods for solving initial value problems with non-smooth (in fact, even not absolutely continuous) right-hand sides and propose a way of handling a certain practically relevant subclass of such systems. We implement the approach for the solver VALENCIA-IVP by introducing into it a specialized template for enclosing the first-order derivatives of non-smooth functions. We demonstrate the applicability of our technique using a mechanical system model with friction and hysteresis. We conclude the paper by giving a perspective on future research directions in this area.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 731-747
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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