Open AccessANALYSIS OF GENERALIZED MULTISTEP ADAM'S METHODS BY DEGENERATE MATRIX METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS
Author(s) -
T. Cîrulis,
O. Lietuvietis
Publication year - 2001
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2001.9637158
Subject(s) - degenerate energy levels , mathematics , ordinary differential equation , linear multistep method , matrix (chemical analysis) , mathematical analysis , interval (graph theory) , complex plane , differential equation , differential algebraic equation , combinatorics , physics , quantum mechanics , materials science , composite material
Adam's methods in the multistep mode are considered by means of general schemes of the degenerate matrix method. The stability function for these methods is computed by the residue theory on the complex plane. Performance of uniformly and non‐uniformly distributed nodes in the standardized interval is compared.