Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Peter Stechlinski"'
Autor:
Peter Stechlinski
Publikováno v:
Linear Algebra and its Applications. 649:63-95
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5d8e7b223a20525f14535f3e4213665
https://doi.org/10.1016/j.laa.2022.04.019
https://doi.org/10.1016/j.laa.2022.04.019
Autor:
Cole Butler, Peter Stechlinski
Publikováno v:
Bulletin of Mathematical Biology. 85
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21dc9c7847df584c7cf3683fae7632f9
https://doi.org/10.1007/s11538-023-01148-1
https://doi.org/10.1007/s11538-023-01148-1
Autor:
Peter Stechlinski
Publikováno v:
Journal of Differential Equations. 285:99-127
Generalized differentiation index-one nonlinear complementarity systems (NCSs) are mathematically regularized in this article. Strong regularity of solutions is shown to imply generalized differentiation index one holding, a concept from nonsmooth di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f34ffa5e4e9d3d55d0e01530d12de868
https://doi.org/10.1016/j.jde.2021.02.054
https://doi.org/10.1016/j.jde.2021.02.054
Autor:
Matthew Ackley, Peter Stechlinski
Publikováno v:
SIAM Journal on Applied Mathematics. 81:1303-1331
This article investigates parametric sensitivities of rioting activity, based on a model of the 2005 French riots. Previously validated against a comprehensive data set, the aforementioned modeling...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f880f674427369c16de59fe859dcfd37
https://doi.org/10.1137/20m131583x
https://doi.org/10.1137/20m131583x
Autor:
Peter Stechlinski
Publikováno v:
Journal of Optimization Theory and Applications. 187:266-293
Foundational theory is established for nonlinear differential equations with embedded nonlinear optimization problems exhibiting active set changes. Existence, uniqueness, and continuation of solutions are shown, followed by lexicographically smooth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44ac1b7a8f00fe9ce1b0cd0663720d38
https://doi.org/10.1007/s10957-020-01744-4
https://doi.org/10.1007/s10957-020-01744-4
Autor:
Peter Stechlinski, Xinzhi Liu
Publikováno v:
Nonlinear Analysis: Hybrid Systems. 27:307-322
Control algorithms are developed for physical processes modeled as hybrid dynamical systems (HDSs). In this framework, a HDS is a nonlinear switched system of ordinary differential equations (ODEs) coupled with impulsive equations. Switching and impu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb0e9257910109f91d4c25aa17a3e3f7
https://doi.org/10.1016/j.nahs.2017.09.004
https://doi.org/10.1016/j.nahs.2017.09.004
Publikováno v:
SIAM Journal on Optimization. 28:272-301
This paper extends classical sensitivity results for nonlinear programs to cases in which parametric perturbations cause changes in the active set. This is accomplished using lexicographic directional derivatives, a recently developed tool in nonsmoo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::519c25643bb0c0b2148205f7aadf7757
https://doi.org/10.1137/17m1120385
https://doi.org/10.1137/17m1120385
Publikováno v:
Optimization Methods and Software. 33:1030-1072
A new method for evaluating generalized derivatives in nonsmooth problems is reviewed. Lexicographic directional (LD-)derivatives are a recently developed tool in nonsmooth analysis for evaluating generalized derivative elements in a tractable and ro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8436e657f024f65374fdb07802c9bd4e
https://doi.org/10.1080/10556788.2017.1374385
https://doi.org/10.1080/10556788.2017.1374385
Autor:
Peter Stechlinski, Xinzhi Liu
Publikováno v:
Journal of Biological Systems. 25:441-477
Theory is developed for an epidemic model of a seasonally-spreading vector-borne disease using a hybrid system framework. Applicable to diseases spread by mosquitoes (e.g., chikungunya and Zika virus via Aedes albopictus), seasonal variations in tran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cc0f919826c1674ba9d43cacdb674a8
https://doi.org/10.1142/s0218339017500218
https://doi.org/10.1142/s0218339017500218
Autor:
Paul I. Barton, Peter Stechlinski
Publikováno v:
Journal of Differential Equations. 262:2254-2285
The well-posedness of nonsmooth differential-algebraic equations (DAEs) is investigated. More specifically, semi-explicit DAEs with Caratheodory-style assumptions on the differential right-hand side functions and local Lipschitz continuity assumption
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0e43ccabdf6a0cdb8476fbfdd281c23
https://doi.org/10.1016/j.jde.2016.10.041
https://doi.org/10.1016/j.jde.2016.10.041