References - Lehrstuhl Numerische Mathematik - TUM

REFERENCES 346
Hairer, E. and G. Wanner (1996). Solving Ordinary Differential Equations II: Stiff and
Differential–Algebraic Problems (2nd ed.). New York, NY: Springer–Verlag.
Hale, J. K. (1977). Theory of Functional Differential Equations. New York, NY: Springer–Verlag.
Hall, C. A., X. Lei, and P. J. Rabier (1994). A nonstandard symmetry breaking phenomenon
in sheet metal stretching. Int. J. Engrg. Sci. 32, 1381–1397.
Hanke, M. (1988). On a least–squares collocation method for linear differential–algebraic equa-
tions. Numer. Math. 54, 79–90.
Hartman, P. (1964). Ordinary Differential Equations. New York, NY: Wiley.
Haug, E. J. (1989). Computer Aided Kinematics and Dynamics of Mechanical Systems, Vol I.
Boston, MA: Allyn and Bacon.
Hautus, M. L. J. and L. M. Silverman (1983). System structure and singular control. Lin. Alg.
and Appl. 50, 369–402.
Hiller, M. and S. Frik (1991). Road vehicle benchmark 2: Five link suspension. In W. Kortüm,
S. Sharp, and A. de Pater (Eds.), Applications of Multibody Computer Codes to Vehicle
system dynamics. Lyon, France: IAVSD Symposium.
Hindmarsh, A. C. (1983). ODEPACK, A systematized collection of ODE solvers. In R. S.
Stepleman (Ed.), Scientific Computing, pp. 55–64. Amsterdam, The Netherlands: North–
Holland.
Holodnick, M. and M. Kubiček (1984). DERPAR–an algorithm for the continuation of periodic
solutions in ordinary differential equations. J. Comput. Phys. 55, 254–267.
Hopf, E. (1942). Abzweigung einer periodischen Lösung von einer stationären Lösung eines
Differentialsystems. Ber. der Math–Phys. Klasse der Sächsischen Akademie der Wiss. zu
Leipzig 94, 1–22.
Hoppensteadt, F. C. (1971). Properties of solutions of ordinary differential equations with small
parameters. Comm. Pure Appl. Math. 24, 807–840.
Huilgol, R. R., M. A. Janus, R.and Lohe, and T. W. Sag (1983). On the application of a
numerical algorithm for Hopf bifurcation to the hunting of a wheelset. J. Australian Math.
Soc. Ser. B 25, 384–405.
Husemoller, D. (1994). Fibre Bundles (3rd ed.). New York, NY: Springer–Verlag.
Jackson, K. R. and R. Sacks-Davis (1980). An alternative implementation of variable step–size
multistep formulas for stiff ODEs. ACM Trans. Math. Software 6, 295–318.
Jepson, A. D. (1981). Numerical Hopf bifurcation. Ph. D. thesis, Calif. Inst. of Techn., Pasadena,
CA.
Jepson, A. D. and A. Spence (1985). Folds in solutions of two parameter systems and their
calculation I. SIAM J. Numer. Anal. 22, 347–368.
Kähler, E. (1949). Einführung in die Theorie der Systeme von Differentialgleichungen,. New
York, NY: Chelsea Publ. Co.
Kalachev, L. V. and R. E. O’Malley Jr. (1995). Boundary value problems for differential alge-
braic equations. Num. Funct. Anal. and Optim. 16, 363–378.
Kampowsky, W., P. Rentrop, and W. Schmidt (1992). Classification and numerical simulation
of electrical circuits. Surv. on Math. in Industry 2, 23–65.