One-sided direct event location techniques in the numerical solution of discontinuous differential systems
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| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0538-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0538-5 | ||
| 245 | 0 | 0 | |a One-sided direct event location techniques in the numerical solution of discontinuous differential systems |h [Elektronische Daten] |c [Luca Dieci, Luciano Lopez] |
| 520 | 3 | |a In this paper, event location techniques for a differential system the solution of which is directed towards a manifold $$\varSigma $$ Σ defined as the 0-set of a smooth function $$h: \varSigma =\{x\in \mathbb {R}^n\,:\, h(x)=0 \}$$ h : Σ = { x ∈ R n : h ( x ) = 0 } are considered. It is assumed that the exact solution trajectory hits $$\varSigma $$ Σ non-tangentially, and numerical techniques guaranteeing that the trajectory approaches $$\varSigma $$ Σ from one side only (i.e., does not cross it) are studied. Methods based on Runge Kutta schemes which arrive to $$\varSigma $$ Σ in a finite number of steps are proposed. The main motivation of this paper comes from integration of discontinuous differential systems of Filippov type, where location of events is of paramount importance. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Event manifold |2 nationallicence | |
| 690 | 7 | |a Time reparametrization |2 nationallicence | |
| 690 | 7 | |a Runge Kutta methods |2 nationallicence | |
| 690 | 7 | |a Monotone integration |2 nationallicence | |
| 700 | 1 | |a Dieci |D Luca |u School of Mathematics, Georgia Institute of Technology, 30332-0160, Atlanta, GA, USA |4 aut | |
| 700 | 1 | |a Lopez |D Luciano |u Dipartimento di Matematica, Universitá degli Studi di Bari "Aldo Moro”, Via E. Orabona 4, 70125, Bari, Italy |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 987-1003 |x 0006-3835 |q 55:4<987 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0538-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0538-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dieci |D Luca |u School of Mathematics, Georgia Institute of Technology, 30332-0160, Atlanta, GA, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lopez |D Luciano |u Dipartimento di Matematica, Universitá degli Studi di Bari "Aldo Moro”, Via E. Orabona 4, 70125, Bari, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 987-1003 |x 0006-3835 |q 55:4<987 |1 2015 |2 55 |o 10543 | ||