In this paper we are concerned with energy-conserving methods for Poisson problems, which effectively solved by defining a suitable generalization of HBVMs, class Hamiltonian problems. The actual implementation the is fully discussed, particular emphasis on conservation Casimirs. Some numerical tests reported, in order to assess theoretical findings.

This paper considers practical, high-order methods for the iterative location of roots nonlinear equations, one at a time. Special attention is being paid to algorithms also applicable multiple initially known and unknown multiplicity. Efficient are presented in this note evaluation multiplicity index root sought. Also reviewed here super-linear super-cubic that converge contrarily or alternati...