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Set-Valued Numerical Analysis

Baier, Robert:
Selection Strategies for Set-Valued Runge-Kutta Methods
in: Zhilin Li, Lubin G. Vulkov, Jerzy Wasniewski (eds.): Numerical Analysis and Its Applications, Third International Conference, NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004, Revised Selected Papers. Lecture Notes in Computer Science 3401. Springer-Verlag, Berlin-Heidelberg, 2005, pp. 149-157.

Baier, Robert:
Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen,
Bayreuther Mathematische Schriften 50 (1995).

Baier, Robert:
Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions,
ZAMM 74 (1994), No. 6, T555-557.

Baier, Robert and Farkhi, Elza:
Directed Sets and Differences of Convex Compact Sets,
in: Michael P. Polis, Asen L. Dontchev, Peter Kall, Irena Lasiecka, Andrzej W. Olbrot (eds.): Systems Modelling and Optimization, Proceedings of the 18th IFIP TC7 Conference 1997, Pitman Research Notes in Mathematics Series, 396. Chapman and Hall/CRC, 1999, pp. 135-143.

Baier, Robert and Farkhi, Elza:
Differences of Convex Compact Sets in the Space of Directed Sets - Part I: The Space of Directed Sets,
Set-Valued Analysis 9 (3), 2001, pp. 217-245.

Baier, Robert and Farkhi, Elza:
Differences of Convex Compact Sets in the Space of Directed Sets - Part II: Visualization of Directed Sets,
Set-Valued Analysis 9 (3), 2001, pp. 247-272.

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

Baier, Robert and Lempio, Frank:
Approximating Reachable Sets by Extrapolation Methods,
in: P.J. Laurent, A. Le Mehaute and L.L. Schumaker (eds.): Curves and Surfaces in Geometric Design, Wellesley: A K Peters, 1994, pp. 9-18.

Chahma, Ilyes Aïssa:
Set-Valued Discrete Approximation of State-Constrained Differential Inclusions,
Bayreuther Mathematische Schriften 67 (2003), p. 3-162.

Dontchev, Asen and Lempio, Frank:
Difference Methods for Differential Inclusions: A Survey,
SIAM Review, Vol. 34, No. 2, 1992, pp. 263-294.

Kastner-Maresch, Alois:
The Implicit Midpoint Rule Applied to Discontinuous Differential Equations,
Computing 49, 1992, pp. 45-62.

Kastner-Maresch, Alois:
Implicit Runge-Kutta methods for differential inclusions,
Numer. Funct. Anal. and Optimiz. 11, 1991, 937-958.

Kastner-Maresch, Alois and Krivan, Vlastimil:
Modelling Food Preferences and Viability Constraints,
Journal of Biological Systems 3 (1995), pp. 313-322.

Kastner-Maresch, Alois and Lempio, Frank:
Difference Methods with Selection Strategies for Differential Inclusions,
Numer. Funct. Anal. and Optimiz. Vol. 14, No. 5 & 6, 1993, pp. 555-572.

Kastner-Maresch, Alois and Mooney, Harold A.:
Simulating Optimal Plant Biomass Partitioning
Ecological Modelling 75/76 (1994), pp. 309-320.

Lempio, Frank:
The Numerical Treatment of Differential Inclusions
in: P. Popivanov and S. Tersian (eds.): Proceedings of the International Conference on Differential Equations and Applications, held in Rousse, Bulgaria, August 13-19, 1989, Rousse: Technical University-Rousse Centre of Mathematics, 1991, pp. 353-364.

Lempio, Frank:
Difference Methods for Monotone Differential Inclusions,
in: A. Karmann, K. Mosler, M. Schader and G. Uebe (eds.): Operations Research '92, Extended Abstracts of the 17th Symposium on Operations Research held at the Universitšt der Bundeswehr Hamburg August 25-28, 1992, Heidelberg: Physika-Verlag, 1992, pp. 235-236.

Lempio, Frank:
Modified Euler Methods for Differential Inclusions,
in: A. B. Kurzhanski and V. M. Veliov (eds.): Set-Valued Analysis and Differential Inclusions, A Collection of Papers resulting from a Workshop held in Pamporovo, Bulgaria, September 17-21, 1990, Boston-Basel-Berlin: Birkhäuser-Verlag, 1993, pp. 131-148.

Lempio, Frank:
Difference methods for differential inclusions,
Lecture Notes in Economics and Mathematical Systems, Vol. 378, 1992, pp. 236-273.

Lempio, Frank:
Set-Valued Interpolation, Differential Inclusions, and Sensitivity in Optimization,
in: R. Lucchetti and J. Revalski (eds.): Recent Developments in Well-Posed Variational Problems, Mathematics and its Applications 331, Dordrecht: Kluwer Academic Publishers, 1995, pp. 137-169.

Lempio, Frank:
Euler's Method Revisited,
Proceedings of Steklov Institute of Mathematics, Moscow, Vol. 211, 1995, pp. 473-494.

Lempio, Frank and Silin, Dimitry B.:
Generalized differential equations with strongly one-sided Lipschitzian right-hand side.
(English. Russian original) Differential Equations 32, No.11, 1996, pp. 1485-1491; translation from Differ. Uravn. 32, No. 11, 1996, pp. 1488-1494.

Lempio, Frank and Veliov, Vladimir:
Discrete Approximations of Differential Inclusions.
Bayreuther Mathematische Schriften 54, 1998, pp. 149-232.

Lempio, Frank and Veliov, Vladimir:
Discrete Approximations of Differential Inclusions.
GAMM-Mitteilungen 21, Heft 2, 1998, pp. 103-135.


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