References - Lehrstuhl Numerische Mathematik - TUM
References - Lehrstuhl Numerische Mathematik - TUM
References - Lehrstuhl Numerische Mathematik - TUM
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
REFERENCES 354<br />
Takens, F. (1976). Constrained equations: A study of implicit differential equations and their<br />
discontinuous solutions. In Lecture Notes in Math., Volume 525, pp. 143–234. New York,<br />
NY: Springer–Verlag.<br />
Thom, R. (1972). Sur les équations différentielles multiformes et leurs intégrales singulières.<br />
Bol. Soc. Brasil. Mat. 3, 1–11.<br />
Thomas, G. (1995a). Algebraic approach for quasi–linear differential algebraic equations. Tech-<br />
nical Report RT 135, LMC–IMAG, Grenoble, France.<br />
Thomas, G. (1995b). Symbolic computation of the index of quasilinear differential–algebraic<br />
equations. Technical Report preprint, LMC–IMAG, Grenoble, France.<br />
Thomas, G. (1997). The problem of defining the singular points of quasi–linear differential–<br />
algebraic systems. Theoret. Comput. Sci. 187, 49–79.<br />
Thompson, J. M. T. and H. B. Stewart (1986). Nonlinear Dynamics and Chaos. Chichester,<br />
UK: J. Wiley.<br />
Tischendorf, C. (1995). Feasibility and stability behaviour of the BDF applied to index–2<br />
differential–algebraic equations. Z. Angew. Math. Mech. 75, 927–946.<br />
Topunov, V. (1989). Reducing systems of partial differential equations to a passive form.<br />
In A. M. Vinogradov (Ed.), Symmetries of partial differential equations. Dordrecht, The<br />
Netherlands: Kluwer Acad. Publ.<br />
Trajkovic, I. and A. N. Willson Jr. (1988). Behavior of nonlinear transistor one–ports: Things<br />
are not always as simple as might be expected. In Proc. 30th Midwest Symposium on Circuits,<br />
Syracuse, NY.<br />
Tuomela, J. (1997). On singular points of quasilinear differential and differential–algebraic equa-<br />
tions. BIT 37, 968–977.<br />
Venkatasubramanian, V. (1994). Singularity induced bifurcation in the Van der Pol oscillator.<br />
IEEE Trans. Circ. and Syst. 41, 765–769.<br />
Venkatasubramanian, V., H. Schättler, and J. Zaborsky (1991). A taxonomy of the dynamics of<br />
the large power system with emphasis on its voltage stability. In Proc. NSF Int. Workshop<br />
on Bulk Power System Voltage phenomena– II, pp. 9–52.<br />
Verghese, G. C., B. C. Levy, and T. Kailath (1981). A generalized state-space for singular<br />
systems. IEEE Trans. Autom. Contr. AC–26, 811–831.<br />
vonSchwerin, R. (1995). Numerical Methods, Algorithms, and Software for Higher Index Non-<br />
linear Differential–Algebraic Equations in Multibody System Simulation. Ph. D. thesis, Nat.-<br />
Math. Fakult., Univ. of Heidelberg, Heidelberg, Germany.<br />
vonSosen, H. (1994). Folds and bifurcations in the solutions of semi–explicit differential–algebraic<br />
equations. Ph. D. thesis, Calif. Inst. of Techn., Pasadena, CA.<br />
Wehage, R. A. and E. J. Haug (1982). Generalized coordinate partitioning for dimension reduc-<br />
tion in analysis of constrained dynamic systems. J. Mech. Design 104, 247–255.<br />
Weierstrass, K. (1868). Zur Theorie der bilinearen und quadratischen Formen. In K. Weier-<br />
strass, Gesammelte Werke, Bd. II,, pp. 19–44. Berlin, Germany: Akad. d. Wiss. Berlin.<br />
Winkler, R. (1994). On simple impasse points and their numerical computation. Technical<br />
Report 94–15, Inst. f. Mathem., Humboldt Univ. zu Berlin, Berlin, Germany.