Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Peter Kunkel"'
Autor:
Peter Kunkel, Volker Mehrmann
Publikováno v:
Vietnam Journal of Mathematics. 51:177-198
Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonical forms under congruence are presented and used to classify the geome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58ac8cb2f5d54def5a2823bcdb6f529e
https://doi.org/10.1007/s10013-022-00596-x
https://doi.org/10.1007/s10013-022-00596-x
Autor:
Peter Kunkel, Volker Mehrmann
Discretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization scheme suitable for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ece819d5bc6aa4f65e76323c29be53f1
http://arxiv.org/abs/2205.08105
http://arxiv.org/abs/2205.08105
Autor:
Peter Kunkel
Publikováno v:
The Electronic Journal of Linear Algebra. 36:542-560
A smooth version of Sylvester's law of inertia is presented for symmetric matrix functions of constant rank. The techniques used in the proof are constructive but the resulting numerical approaches are unstable, and therefore require stabilization. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9eec94ac191c170347cb14704b37b6fd
https://doi.org/10.13001/ela.2020.5321
https://doi.org/10.13001/ela.2020.5321
Autor:
Stephen L. Campbell, Peter Kunkel
Publikováno v:
Vietnam Journal of Mathematics. 48:661-677
The Drazin generalized inverse appears in a number of applications including the theory of linear time invariant differential-algebraic equations (DAEs). In this paper we consider its robust computation. Various methods are proposed all of them based
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3181a5b33587ffaabdf6cee7f25500a1
https://doi.org/10.1007/s10013-020-00401-7
https://doi.org/10.1007/s10013-020-00401-7
Autor:
Volker Mehrmann, Peter Kunkel
Publikováno v:
BIT Numerical Mathematics. 58:1049-1077
The solvability and regularity of hybrid differential-algebraic systems (DAEs) is studied, and classical stability estimates are extended to hybrid DAE systems. Different reasons for non-regularity are discussed and appropriate regularization techniq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6ffc1f38b65ddc5893267208f967d09
https://doi.org/10.1007/s10543-018-0712-2
https://doi.org/10.1007/s10543-018-0712-2
Autor:
Stephen L. Campbell, Peter Kunkel
Publikováno v:
Numerical Algebra, Control and Optimization. 6:447-472
A number of methods have been proposed for solving optimal control problems where the process being optimized is described by a differential algebraic equation (DAE). However, many of these methods require special circumstances to hold or the user to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7df5a9e93eaab75ea7f2d53926c9502b
https://doi.org/10.3934/naco.2016020
https://doi.org/10.3934/naco.2016020
Autor:
Peter Kunkel, Stephen L. Campbell
Publikováno v:
Applications of Differential-Algebraic Equations: Examples and Benchmarks ISBN: 9783030037178
One of the ways that differential algebraic equations (DAEs) naturally arise is with tracking problems. This paper will discuss some of the tracking problems that occur, how they are interrelated, and how they relate to the theory of DAEs. This paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9cf5c5bdf356420cd059eff5d166034
https://doi.org/10.1007/11221_2018_3
https://doi.org/10.1007/11221_2018_3
Autor:
Peter Kunkel
Publikováno v:
African Zoology; Vol 10, No 2 (1975); 109-121
Yellow white-eyes were observed in the Kivu Highlands of the Eastern Zaire both in the field and in an aviary.Some feeding adaptations are described, among them the ability to reach most points of the feeding ground among twigs and leaves by clinging
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef9f3d1e6e709282879083b39554bf75
https://www.ajol.info/index.php/az/article/view/151204
https://www.ajol.info/index.php/az/article/view/151204
Autor:
Peter Kunkel, Stephen L. Campbell
Publikováno v:
Journal of Computational and Applied Mathematics. 242:213-231
The development of numerical methods for finding optimal solutions of control problems modeled by differential-algebraic equations (DAEs) is an important task. Usually restrictions are placed on the DAE such as being semi-explicit. Here the numerical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d4df2b0c88b41d09a43b531bd6b61d6
Publikováno v:
Applied Numerical Mathematics. 62:592-605
If a Gausz-Newton iteration is used to solve a system of equations that has a manifold of solutions, then the iteration does not produce the minimal norm solution. The limit of the iteration depends on the starting point. This paper introduces a modi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d2bb63eb50d11da11b4f6f6caee2a79
https://doi.org/10.1016/j.apnum.2012.01.006
https://doi.org/10.1016/j.apnum.2012.01.006