Reinhard Kluge (mathematician)
Reinhard Kluge (* around 1940 ) is a German mathematician and university professor .
Life
Kluge received his doctorate in 1968 with a thesis on the subject of some applications of topological methods on bifurcation problems with Arno Langenbach at the Humboldt University of Berlin . In 1970 he completed his habilitation with a thesis on the approximate solution of nonlinear variation inequalities . In the 1980s, Kluge was a professor at the Mathematics Institute of the Academy of Sciences of the GDR . Kluge's research focuses on nonlinear optimization , variation inequalities and approximation methods for solving nonlinear problems.
Publications
- For the regularization of the system, consisting of the Reynolds equations and the k-ϵ model of turbulence , Zbl 0723.76025, 1989
- For determining parameters in non-linear problems. An introduction to coefficient determination using optimality criteria in stationary partial differential equations and systems , Zbl 0588.35083, Teubner-Texte zur Mathematik, Vol. 81, Leipzig, BSB BG Teubner Verlagsgesellschaft, 1985
- Uniformly monotonic potential operators on some functional spaces , Berlin, Akad. D. Knowledge d. GDR, Institute for Mathematics, 1985
- Nonlinear variation inequalities and extreme problems. Theory and approximation methods , Zbl 0452.49001, Mathematical Monographs, Volume 12, Berlin, VEB Deutscher Verlag der Wissenschaften, 1979
- For the numerical approximation of nonlinear eigenvalue problems and fixed point bifurcations for ambiguous maps , Zbl 0333.65027, Theory nonlin. Operators, Proc. Summer School, Babylon 1971, 1973
- Sequences and iteration methods for sequences of nonlinear variation inequalities , Zbl 0316.49022, Theory nonlin. Operators, Proc. Summer School, Babylon 1971, 1973
- Approximation method for a problem of optimal control with abstract differential equations of the first order , Mathematische Nachrichten 54 (1-6): 229-248,1972
- Approximation method for the approximate solution of nonlinear variation inequalities , Mathematische Nachrichten 51 (1-6): 343 - 356, 1971
- For the approximate solution of convex minimum problems with constraints and nonlinear variation inequalities over sequences of linear algebraic systems of equations , Mathematische Nachrichten 48 (1-6): 341-352, 1971
Together with other authors
- Iver H. Brevik, Reinhard Kluge: On the role of turbulence in the phenomenological theory of plane and axisymmetric air-bubble plumes , Zbl 1137.76539, Int. J. Multiphase Flow 25, No. 1, 1999
- Reinhard Kluge, Steffen Unger: A system of stationary partial differential equations of the charge carrier transport in semiconductors , Akad. D. Knowledge d. GDR, Institute for Mathematics, 1985
- Gottfried Bruckner, Reinhard Kluge, Steffen Unger: A system of stationary partial differential equations , Akad. D. Knowledge d. GDR, Institute for Mathematics, 1985
- Reinhard Kluge, Gottfried Bruckner: Iteration method for some nonlinear problems with secondary conditions , Zbl 0245.65028, Math. Nachr. 56, 1973
- Herbert Gajewski , Reinhard Kluge: Projection method for nonlinear variation inequalities , 1970, online
As editor
- Nonlinear analysis, theory and applications. Proceedings of the Seventh International Summer School held at Berlin, GDR, from August 27 to September 1, 1979 , edited by Wolf Dietrich Müller, Zbl 0458.00006, treatises of the Academy of Sciences of the GDR, Abt. Math science technology, Vol. 1981, No. 2N. Berlin, Akademie-Verlag, 1981
- Theory of Nonlinear Operators , Proceedings of fifth international summer school held at Berlin, GDR from September 19 to 23, 1977. Treatises of the Academy of Sciences of the GDR, Department: Mathematics, Natural Sciences, Technology, Born 1978, No. 6, Berlin, Academy -Publishing company
- Theory of Nonlinear Operators: Constructive Aspects , Treatises of the Academy of Sciences of the GDR, Department: Mathematics, Natural Sciences, Technology. Born 1977, No. 1, Berlin, Akademie-Verlag
- Approximation method for solving operator equations , Mark Aleksandrovic Krasnoselski, Akademie-Verlag, Berlin, 1973
- Morduchaj Moiseevič Vajnberg, Reinhard Kluge (editor), Rolf Hünlich (translator), Vladilen Aleksandrovič Trenogin : Theory of solution branching in nonlinear equations , 1973
Web links
- Author profile Reinhard Kluge in the database zbMATH
- Literature by and about Reinhard Kluge (mathematician) in the bibliographic database WorldCat
Individual evidence
- ^ A b Reinhard Kluge at Mathematics Genealogy Project. Retrieved March 25, 2020.
- ↑ a b Full professors of the GDR at mathematik.hu-berlin.de. Retrieved March 25, 2020.
- ↑ For the approximate solution of nonlinear variation inequalities for gnd. Retrieved March 25, 2020.
personal data | |
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SURNAME | Kluge, Reinhard |
BRIEF DESCRIPTION | German mathematician and university professor |
DATE OF BIRTH | around 1940 |