Homotopy methods and bifurcation
Numerical methods for ODEs:
Butcher
Uri M Ascher and Linda Petzold:
Computer Methods for DAEs
Erlicher:
Generalized alpha method
Hairer, Luebich:
Geometric Num. Iitegration, Stroem-Verlet method, Acta Numerica
Andrew Stuart:
Numerical Analysis of dynamical systems, Acta Numerica 1994
Roswitba Maerz:
Numerical Methods for DAEs, Acta Numerica
Sanz Serna:
Symplectic integral for Hamilton, Acta Numerica
Methods to solve DAEs, ODEs on manifold