References - Lehrstuhl Numerische Mathematik - TUM

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REFERENCES 348 Leineweber, D. B. (1996). The theory of MUSCOD in a nutshell. Technical Report IWR 96–19, Int. Zent. f. Wiss. Rechn., Univ. Heidelberg, Heidelberg, Germany. Leineweber, D. B. (1998). Efficient reduced SQP methods for the optimization of chemical pro- cesses described by large sparse DAE models. Ph. D. thesis, Nat.-Math. Fakult., Univ. Hei- delberg, Heidelberg, Germany. Lentini, M. and R. März (1990a). The condition of boundary value problems in transferable differential–algebraic equations. SIAM J. Numer. Anal. 27, 1001–1015. Lentini, M. and R. März (1990b). Conditioning and dichotomy for differential algebraic equations. SIAM J. Numer. Anal. 27, 1519–1526. LeVey, G. (1994). Differential algebraic equations, a new look at the index. Technical Report 2239, INRIA, Rennes, France. LeVey, G. (1998). Some remarks on solvability and various indices for implicit differential equations. Numer. Algorithms 19, 127–145. Lötstedt, P. and L. Petzold (1986a). Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas. Math. of Comp. 46, 491–516. Lötstedt, P. and L. Petzold (1986b). Numerical solution of nonlinear differential equations with algebraic constraints II: Practical implications. SIAM J. Sci. Stat. Comp. 7, 720–733. Lubich, C. (1989a). h 2 –extrapolation methods for differential–algebraic systems of index two. Impact Comp. Sci. Eng. 1, 260–268. Lubich, C. (1989b). Linearly implicit extrapolation methods for differential–algebraic systems. Numer. Math. 55, 197–211. Lubich, C. (1991). Extrapolation integrators for constrained multibody systems. Impact Comp. Sci. Eng. 3, 213–234. Lubich, C. (1993). Integration of stiff mechanical systems by Runge–Kutta methods. ZAMP 44, 1022–1053. Lubich, C., U. Nowak, U. Pöhle, and C. Engstler (1992). MEXX – numerical software for the integration of constrained mechanical multibody systems. Technical Report SC 92–12, K. Zuse Zentrum f. Inf.–technik, Berlin, Germany. Lucht, W., K. Strehmel, and C. Eichler-Liebenow (1997a). Linear partial differential algebraic equations, Part I: Indexes, consistent boundary/initial conditions. Technical Report 17, Inst. f. Numer. Math., Martin Luther Univ., Halle, Germany. Lucht, W., K. Strehmel, and C. Eichler-Liebenow (1997b). Linear partial differential algebraic equations, Part II: Numerical solution. Technical Report 18, Inst. f Numer. Math., Martin Luther Univ., Halle, Germany. Mahony, R. E. and I. M. Mareels (1995). Global solutions for differential/algebraic systems and implications for Lyapunov direct stability methods. J. Math. Syst. Estim. Control 57, 26 (electronic). Mansfield, E. (1991). Differential Gröbner bases. Ph. D. thesis, Univ. of Sydney, Sydney, Aus- tralia. Marmo, G., G. Mendella, and W. M. Tulcczijew (1992). Symmetries and constant of the motion for dynamics in implicit forms. Ann. Inst. H. Poincaré A 57, 147–166.
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