One can see the germ of the idea for the implicir func tion theorem in the writings of Isaac Newton (1642-1727), and Gottfried Leib-niz's (1646-1716) work cxplicitty contains an instance of implicit differentiation. Whilc Joseph Louis Lagrange (1736-1813) found a theorcm that is ...
, y n + j concurrently in a block at the time discretization points of x n + 1 , … , x n + j . In this section, we will derive the ρ -Diagonally Implicit Block Backward Differentiation Formula ( ρ -DIBBDF) based on the derivation of BBDF by Ibrahim et al. in [20] and ...