ABSTRACT
In this chapter we carry out a thorough convergence and stability analysis of Runge-Kutta line integral methods, the family of energy-conserving RungeKutta methods defined in Chapter 1, which represents the most relevant instance of line integral methods for Hamiltonian problems. In the present chapter these methods will be referred to as Hamiltonian Boundary Value Methods (HBVMs) but, as was observed in the remark on page 44, the two names are interchangeable since they identify the very same methods.
