Parallel algorithms for initial-value problems for difference and differential equations *

@inproceedings{BELLEN2001ParallelAF,
  title={Parallel algorithms for initial-value problems for difference and differential equations *},
  author={Alfred0 BELLEN and Marino Zennaro and Alfredo Bellen},
  year={2001}
}
Let { y”} be a trajectory defined sequentially by a nonlinear vector difference equation y,,+ 1 = F”+ ,( y,) with y0 known. A Steffensen-like iterative method is proposed which starts from a guessed sequence {u:‘)} for the approximation of { yn) and allows certain computations to be performed in parallel. The sequence {u:““‘} is (k) obtained from {u, } by means of a formula of the form u,+, (kt’) = vAk+:” + Acj:ir)(~!,k+l) u:“)). Here the vectors ‘?n+l (kil) and the matrices A(f:ii) each… CONTINUE READING