Publications

publications in 2013

W. Alt, R. Baier, M. Gerdts, F. Lempio: Approximation of Linear Control Problems with Bang-Bang Solutions
Optimization 62 (1), 9 - 32, 2013, online available in iFirst since May 2011

DOI: 10.1080/02331934.2011.568619


publications in 2012

W. Alt, R. Baier, M. Gerdts, F. Lempio: Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
Numerical Algebra, Control and Optimization 2 (3), 547 - 570, 2012,

A special issue Dedicated to Professor Helmut Maurer on the occasion of his 65th birthday. Submitted in July 2011.

DOI: 10.3934/naco.2012.2.547
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publications in 2011

M. Gerdts, F. Lempio: Mathematische Optimierungsverfahren des Operations Research
in: De Gruyter Studium, De Gruyter Verlag, Berlin, Germany, 2011, ix + 527 pages

DOI: 10.1515/9783110249989


publications in 2008

R. Baier, F. Lempio: Von Eudoxos bis zur Klimafolgenforschung
Exhaustion, Finite Elemente und mengenwertige Numerik
in: Spektrum 1/08 (Jahr der Mathematik), H. Ruppert,
Holtz Druck, University of Bayreuth, Neudrossenfeld-Bayreuth, Germany, 2008, 6 - 12

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publications in 2007

R. Baier, I.A.Chahma, F. Lempio: Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions
SIAM Journal on Optimization 18 (3; special issue on ``Variational Analysis and Optimization''), 1004 - 1026, 2007

DOI: 10.1137/060661867
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publications in 2002

R. Baier, F. Lempio, E. Polovinkin: Set-Valued Integration with Negative Weights
Technical Report, 35 pages, University of Bayreuth, Bayreuth, Germany, 2002


N. P. Osmolovskii, F. Lempio: Transformation of quadratic forms to perfect squares for broken extremals
Set-Valued Analysis 10 (2-3), 209 - 232, 2002

DOI: 10.1023/A:1016588116615


publications in 2001

F. Lempio: Über Nützliches und Schönes in der Mathematik
Mathematikinformation 35, 3 - 18, 2001


publications in 2000

F. Lempio: Finite element methods - from ancient to modern times (in Bulgarian)
in: Proceedings of Twenty Ninth Spring Conference of the Union of Bulgarian Mathematicians, Lovetch, April 3-6, 2000, Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences (ed.)
2000, 5 - 17


N. P. Osmolovskii, F. Lempio: Jacobi conditions and Riccati equation for broken extremal
Journal of Mathematical Sciences 100 (5), 2572 - 2592, 2000

DOI: 10.1007/BF02673843


publications in 1999

F. Lempio: Über zwei Jahrtausende Finite Elemente - Von Eudoxos bis zur Hyperthermietherapie
in: Department of Mathematics, University of Bayreuth (eds.)
Bayreuther Mathematische Schriften 56, Bayreuth, Germany, 1999, 59 - 78


N. P. Osmolovskii, F. Lempio: Jacobi conditions and Riccati equation for broken extremal
in: Proceedings of the International Conference Dedicated to 90th Anniversary of L.S.Pontryagin, August 31-September 6, 1998, Moscow, R. V. Gamkrelidze,
1999, 187 - 215

DOI: 10.1007/BF02673843


publications in 1998

F. Lempio: Numerische Mathematik II: Methoden der Analysis
in: Bayreuther Mathematische Schriften 55, Bayreuth, Germany, 1998, vi + 263 pp.


F. Lempio: Über zwei Jahrtausende Finite Elemente - Von Eudoxos bis zur Hyperthermietherapie
in: 27. Kolloquium Mathematik-Didaktik der Universität Bayreuth, 18. Febr. 1998, Department of Mathematics, University of Bayreuth (eds.)
Bayreuth, Germany, 1998, 3 - 18


F. Lempio, V. M. Veliov: Discrete approximations of differential inclusions
in: Department of Mathematics, University of Bayreuth (eds.)
Bayreuther Mathematische Schriften 54, Bayreuth, Germany, 1998, 149 - 232


F. Lempio, V. M. Veliov: Discrete approximations of differential inclusions
GAMM-Mitteilungen 21 (2), 103 - 135, 1998


N. P. Osmolovskii, F. Lempio: Jacobi conditions and Riccati equation for broken extremal (in Russian)
in: Proceedings of the International Conference Dedicated to 90th Anniversary of L. S. Pontryagin, August, 31 - September, 6, 1998, Moscow. Volume 1: Optimal Control, R. V. Gamkrelidze (ed.)
Modern Mathematics and its Applications 60, VINITI, 1998, 187 - 215


publications in 1997

F. Lempio: Numerische Mathematik I: Methoden der Linearen Algebra
in: Bayreuther Mathematische Schriften 51, Bayreuth, Germany, 1997, vi + 234 pp.


F. Lempio, D. Silin: Generalized differential equations with strongly one-sided Lipschitzian right-hand side
Differential Equations 32 (11), 1485 - 1491, 1997


publications in 1996

F. Lempio, D. Silin: Generalized differential equations with strongly one-sided Lipschitzian right-hand side
Differentsial’nye Uravneniya 32 (11), 1488 - 1494, 1996


publications in 1995

F. Lempio: Euler's Method Revisited
Proceedings of the Steklov Institute of Mathematics, Moscow 211, 429 - 449, Nauka, Moscow, Russia, 1995


F. Lempio: Euler's Method Revisited
Trudy Mat. Inst. Steklov 211, 473 - 494, Nauka, Moscow, Russia, 1995


F. Lempio: Set-valued interpolation, differential inclusions, and sensitivity in optimization
in: Recent Developments in Well-Posed Variational Problems, R. Lucchetti, J. Revalski (eds.)
Mathematics and Its Applications 331, Kluwer Academic Publishers, Dordrecht-Boston-London, 1995, 137 - 169

DOI: 10.1007/978-94-015-8472-2_6
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publications in 1994

R. Baier, F. Lempio: Approximating Reachable Sets by Extrapolation Methods
in: Curves and Surfaces in Geometric Design. Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993, P. J. Laurent, A. Le Méhauteé, L. L. Schumaker (eds.)
A K Peters, Wellesley, 1994, 9 - 18

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R. Baier, F. Lempio: Computing Aumann's Integral
in: Modeling Techniques for Uncertain Systems,Proceedings of a Conference held in Sopron, Hungary, July 6-10, 1992, A. B. Kurzhanski, V. M. Veliov (eds.)
Progress in Systems and Control Theory 18, Birkhäuser, Basel, 1994, 71 - 92

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F. Lempio: Einführung in die Benutzung der Datenbanken MATH und CompactMATH
in: Technical Report, 2nd edition, Bayreuth, Germany, 1994

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publications in 1993

A. Kastner-Maresch, F. Lempio: Difference methods with selection strategies for differential inclusions
Numerical Functional Analysis and Optimization 14 (5 & 6), 555 - 572, 1993

DOI: 10.1080/01630569308816539


F. Lempio: Modified Euler methods for differential inclusions
in: Set-Valued Analysis and Differential Inclusions. A Collection of Papers resulting from a Workshop held in Pamporovo, Bulgaria, September 17-21, 1990, A. B. Kurzhanski, V. M. Veliov (eds.)
Progr. Systems Control Theory 16, Birkhäuser Verlag, Boston-Basel-Berlin, 1993, 131 - 148


publications in 1992

A. Dontchev, F. Lempio: Difference Methods for Differential Inclusions: A Survey
SIAM Review 34 (2), 263 - 294, 1992

DOI: 10.1137/1034050


F. Lempio: Difference methods for differential inclusions
in: Modern Methods of Optimization. Proceedings of a Summer School at Thurnau (Germany), September 30-October 6, 1990, Lecture Notes in Economics and Mathematical Systems 378, Springer Verlag, Berlin-Heidelberg-New York, 1992, 236 - 273

DOI: 10.1007/978-3-662-02851-3_8


publications in 1991

F. Lempio: The numerical treatment of differential inclusions
in: Proceedings of the International Conference on Differential Equations and Applications, held in Russe, Bulgaria, August 13--19, 1989, P. Popivanov, S. Tersian (eds.)
Technical University-Russe, Centre of Mathematics, Russe, Bulgaria, 1991, 353 - 364


publications in 1988

W. Alt, F. Lempio: Programmbibliothek des Lehrstuhls für Angewandte Mathematik der Universität Bayreuth
in: Manual, Bayreuth, Germany, 1988


publications in 1982

F. Lempio, J. Zowe: Higher order optimality conditions
in: Modern applied mathematics (Bonn, 1979), North-Holland, Amsterdam, 1982, 147 - 193


publications in 1980

F. Lempio, H. Maurer: Differential stability in infinite-dimensional nonlinear programming
Applied Mathematics and Optimization 6 (2), 139 - 152, 1980

DOI: 10.1007/BF01442889


publications in 1979

W. Alt: Stabilität mengenwertiger Abbildungen mit Anwendungen auf nichtlineare Optimierungsprobleme
in: PhD thesis, vii + 107 pp., Department of Mathematics, University of Bayreuth,
Bayreuth, Germany, 1979


F. Lempio: Dualität und Stabilität
in: Numerical mathematics (Sympos., Inst. Appl. Math., Univ. Hamburg, Hamburg, 1979), Internat. Ser. Numer. Math. 49, Birkhäuser, Basel, 1979, 107 - 124

DOI: 10.1007/978-3-0348-6285-1_8


publications in 1978

F. Lempio, H. Maurer: Differentiable perturbations of infinite optimization problems
in: Optimization and operations research (Proc. Workshop, Univ. Bonn, Bonn, 1977), Lecture Notes in Economics and Mathematical Systems 157, Springer, Berlin, 1978, 181 - 191

DOI: 10.1007/978-3-642-95322-4_19


publications in 1976

F. Lempio: Minimumnormprobleme und zeitoptimale Steuerungen
in: Numerische Methoden der Approximationstheorie, Band 3 (Tagung, Math. Forschungsinst., Oberwolfach, 1975), Internat. Ser. Numer. Math. 30, Birkhäuser, Basel, 1976, 277 - 298

DOI: 10.1007/978-3-0348-7692-6_14


publications in 1974

F. Lempio: Anwendungen der Lagrangeschen Multiplikatorenregel auf Approximations-, Variations- und Steuerungsprobleme
in: Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln (Vortragsauszüge der Tagungen, Tech. Univ. Clausthal-Zellerfeld und Oberwolfach, 1972), Internat. Schr. Numer. Math. 19, Birkhäuser, Basel, 1974, 147 - 157

DOI: 10.1007/978-3-0348-6988-1_13


F. Lempio: Bemerkungen zur Lagrangeschen Funktionaldifferentialgleichung
in: Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln (Vortragsauszüge der Tagungen, Tech. Univ. Clausthal-Zellerfeld und Oberwolfach, 1972), Internat. Schr. Numer. Math. 19, Birkhäuser, Basel, 1974, 141 - 146

DOI: 10.1007/978-3-0348-6988-1_12


F. Lempio: Zur optimalen Steuerung nichtlinearer Entwicklungen
in: Sechste Oberwolfach-Tagung über Operations Research (1973), Teil II, Operations Research Verfahren XIX, Hain, Meisenheim am Glan, 1974, 35 - 41


publications in 1973

F. Lempio: Dualität und optimale Steuerungen
in: Numerische Methoden bei bei Optimierungsaufgaben (Tagung, Math. Forschungsinst., Oberwolfach, 1971), Internat. Schr. Numer. Math. 17, Birkhäuser, Basel, 1973, 101 - 109

DOI: 10.1007/978-3-0348-5971-4_9


F. Lempio: Eine Verallgemeinerung des Satzes von Fritz John
in: V. Oberwolfach-Tagung über Operations Research, 13.-19. August 1972, Teil 2, R. Henn, H. P. Künzi, H. Schubert (eds.)
Operations Res.-Verf. 17, Verlag Anton Hain, Meisenheim am Glan, 1973, 239 - 247


F. Lempio: Positive Lösungen unendlicher Gleichungs- und Ungleichungssysteme und Lagrange-Multiplikatoren für infinite differenzierbare Optimierungsprobleme
Zeitschrift für Angewandte Mathematik und Mechanik 53 (1), 61 - 62, T162, 1973

DOI: 10.1002/zamm.19730530108


publications in 1972

F. Lempio: Differenzierbare Optimierung mit unendlich vielen Nebenbedingungen
in: IV. Oberwolfach-Tagung über Operations Research, 25.-31. Juli 1971, Teil 2, R. Henn, H. P. Künzi, H. Schubert (eds.)
Operations Res.-Verf. 13, Verlag Anton Hain, Meisenheim am Glan, 1972, 265 - 273


F. Lempio: Tangentialmannigfaltigkeiten und infinite Optimierung
Habilitation thesis, 73 pages, Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, 1972


publications in 1971

F. Lempio: Lineare Optimierung in unendlichdimensionalen Vektorräumen
Computing (Arch. Elektron. Rechnen) 8, 284 - 290, 1971

DOI: 10.1007/BF02234110


F. Lempio: Separation und Optimierung in linearen Räumen
PhD thesis, 52 pages, Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, 1971


Books/Skripts

Frank Lempio:
Numerische Mathematik I - Methoden der Linearen Algebra. Bayreuther Mathematische Schriften 51, 1997.
Frank Lempio:
Numerische Mathematik II - Methoden der Analysis. Bayreuther Mathematische Schriften 55, 1998.
 

Publications in Journals and Conference Proceedings

Please see the PDF file with the list of all publications.

Supervised PhD Thesis/Habilitations

Please see this page.

Supervised Diploma Thesis

Please see this page.

Technical Reports

Walter Alt, Frank Lempio:
Programmbibliothek des Lehrstuhls für Angewandte Mathematik der Universität Bayreuth, Universität Bayreuth, Bayreuth, 1988.
Frank Lempio:
Einführung in die Benutzung der Datenbanken MATH und CompactMATH, 2. Auflage, Bayreuth, 1994.
DVI file within the ZIP archive oder Postscript file

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