References - Lehrstuhl Numerische Mathematik - TUM
References - Lehrstuhl Numerische Mathematik - TUM References - Lehrstuhl Numerische Mathematik - TUM
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 equa- tions. 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 equa- tions. 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.
REFERENCES 349 Marmo, G., G. Mendella, and W. M. Tulcczijew (1995). Integrability of implicit differential equations. J. Phys. A 28, 149–163. Marmo, G., G. Mendella, and W. M. Tulcczijew (1997). Constrained hamiltonian systems as implicit differential equations. J. Phys. A 30, 277–293. Marsden, J. E. and M. F. McCracken (1976). The Hopf Bifurcation and its Applications, Vol- ume 19 of Appl. Mathem. Sci. New York, NY: Springer–Verlag. März, R. (1989a). Index 2 differential–algebraic equations. Results in Math. 15, 149–171. März, R. (1989b). On boundary value problems in differential–algebraic equations. Appl. Math. Comp. 31, 517–537. März, R. (1989c). Some new results concerning index–3 differential–algebraic equations. J. Math. Anal. Appl. 140, 177–199. März, R. (1990). Higher index differential–algebraic equations: Analysis and numerical treat- ment. In Numer. Anal. and Math. Modelling, Volume 24, pp. 199–222. Warsaw, Poland: Banach Center. März, R. (1992). Numerical methods for differential–algebraic equations. In A. Iserles (Ed.), Acta Numerica 1992, pp. 141–198. Cambridge, UK: Cambridge Univ. Press. März, R. (1994). Practical Lyapunov stability criteria for differential algebraic equations. In Numer. Anal. and Math. Modelling, Volume 29, pp. 245–266. Warsaw, Poland: Banach Center. März, R. and C. Tischendorf (1994). Solving more general index–2 differential algebraic equa- tions. Computers Math. Appl. 28, 77–105. März, R. and E. Weinmüller (1993). Solvability of boundary value problems for systems of singular differential–algebraic equations. SIAM J. Math. Anal. 24, 200–215. Mattson, S. E. and G. Söderlind (1993). Index reduction in differential–algebraic equations using dummy derivatives. SIAM J. Sci. Stat. Comp. 14, 677–692. Medved, M. (1991). Normal forms of implicit and observed implicit differential equations. Riv. Mat. Pura Appl. 4, 95–107. Medved, M. (1994). Qualitative properties of generalized vector. Riv. Mat. Pura Appl. 15, 7–31. Meerbergen, K., A. Spence, and D. Roose (1994). Shift–invert and Cayley transforms for de- tection of rightmost eigenvalues of nonsymmetric matrices. BIT 34, 409–423. Moore, G., T. J. Garrat, and A. Spence (1990). The numerical detection of Hopf bifurcation points. In Continuation and Bifurcation: Numerical Techniques and Applications, NATO ASI Series, pp. 227–259. Dordrecht, The Netherlands: Kluwer Acad. Publ. Munthe-Kaas, H. (1999). High order Runge–Kutta methods on manifolds. Appl. Numer. Math. 29, 115–127. Murota, K. (1995). Structural approach in systems analysis by mixed matrices, an exposition for index of DAEs. In K. Kirchgássner, O. Mahrenholtz, and R. Mennicken (Eds.), Proc. ICIAM 95, pp. 257–259. Akademie Verlag. Neimark, J. I. and N. A. Fufaev (1972). Dynamics of Nonholonomic Systems, Volume 33 of Transl. Math. Monogr. Providencs, R.I.: Amer. Math. Society. Neumaier, A. (1996). Molecular modeling of proteins and mathematical prediction of protein structure. SIAM Rev. 39, 407–460.
- Page 1 and 2: References Abraham, R., J. E. Marsd
- Page 3 and 4: REFERENCES 341 Brenan, K. E., S. L.
- Page 5 and 6: REFERENCES 343 Deuflhard, P. (1985)
- Page 7 and 8: REFERENCES 345 Gràcia, X. and J. M
- Page 9: REFERENCES 347 Kaps, P. and P. Rent
- Page 13 and 14: REFERENCES 351 Rabier, P. J. (1989)
- Page 15 and 16: REFERENCES 353 Schulz, V. H., H. G.
- Page 17: REFERENCES 355 Wosle, M. and F. Pfe
REFERENCES 348<br />
Leineweber, D. B. (1996). The theory of MUSCOD in a nutshell. Technical Report IWR 96–19,<br />
Int. Zent. f. Wiss. Rechn., Univ. Heidelberg, Heidelberg, Germany.<br />
Leineweber, D. B. (1998). Efficient reduced SQP methods for the optimization of chemical pro-<br />
cesses described by large sparse DAE models. Ph. D. thesis, Nat.-Math. Fakult., Univ. Hei-<br />
delberg, Heidelberg, Germany.<br />
Lentini, M. and R. März (1990a). The condition of boundary value problems in transferable<br />
differential–algebraic equations. SIAM J. Numer. Anal. 27, 1001–1015.<br />
Lentini, M. and R. März (1990b). Conditioning and dichotomy for differential algebraic equa-<br />
tions. SIAM J. Numer. Anal. 27, 1519–1526.<br />
LeVey, G. (1994). Differential algebraic equations, a new look at the index. Technical Report<br />
2239, INRIA, Rennes, France.<br />
LeVey, G. (1998). Some remarks on solvability and various indices for implicit differential equa-<br />
tions. Numer. Algorithms 19, 127–145.<br />
Lötstedt, P. and L. Petzold (1986a). Numerical solution of nonlinear differential equations with<br />
algebraic constraints I: Convergence results for backward differentiation formulas. Math. of<br />
Comp. 46, 491–516.<br />
Lötstedt, P. and L. Petzold (1986b). Numerical solution of nonlinear differential equations with<br />
algebraic constraints II: Practical implications. SIAM J. Sci. Stat. Comp. 7, 720–733.<br />
Lubich, C. (1989a). h 2 –extrapolation methods for differential–algebraic systems of index two.<br />
Impact Comp. Sci. Eng. 1, 260–268.<br />
Lubich, C. (1989b). Linearly implicit extrapolation methods for differential–algebraic systems.<br />
Numer. Math. 55, 197–211.<br />
Lubich, C. (1991). Extrapolation integrators for constrained multibody systems. Impact Comp.<br />
Sci. Eng. 3, 213–234.<br />
Lubich, C. (1993). Integration of stiff mechanical systems by Runge–Kutta methods. ZAMP 44,<br />
1022–1053.<br />
Lubich, C., U. Nowak, U. Pöhle, and C. Engstler (1992). MEXX – numerical software for the<br />
integration of constrained mechanical multibody systems. Technical Report SC 92–12, K.<br />
Zuse Zentrum f. Inf.–technik, Berlin, Germany.<br />
Lucht, W., K. Strehmel, and C. Eichler-Liebenow (1997a). Linear partial differential algebraic<br />
equations, Part I: Indexes, consistent boundary/initial conditions. Technical Report 17, Inst.<br />
f. Numer. Math., Martin Luther Univ., Halle, Germany.<br />
Lucht, W., K. Strehmel, and C. Eichler-Liebenow (1997b). Linear partial differential algebraic<br />
equations, Part II: Numerical solution. Technical Report 18, Inst. f Numer. Math., Martin<br />
Luther Univ., Halle, Germany.<br />
Mahony, R. E. and I. M. Mareels (1995). Global solutions for differential/algebraic systems and<br />
implications for Lyapunov direct stability methods. J. Math. Syst. Estim. Control 57, 26<br />
(electronic).<br />
Mansfield, E. (1991). Differential Gröbner bases. Ph. D. thesis, Univ. of Sydney, Sydney, Aus-<br />
tralia.<br />
Marmo, G., G. Mendella, and W. M. Tulcczijew (1992). Symmetries and constant of the motion<br />
for dynamics in implicit forms. Ann. Inst. H. Poincaré A 57, 147–166.
Change language