Continuous-Stage Runge–Kutta Approximation to Differential Problems
Continuous-Stage Runge–Kutta Approximation to Differential Problems
In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge–Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretation in terms of continuous-stage Runge–Kutta methods. In this review paper, we recall this aspect and extend …