Generalized linear multistep methods for ordinary differential equations

2017 ◽  
Vol 114 ◽  
pp. 165-178 ◽  
Author(s):  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Multistep Methods ◽  
Linear Multistep Methods

The asymptotic discretization error of a class of methods for solving ordinary differential equations

1967 ◽  
Vol 63 (2) ◽  
pp. 461-472 ◽  
Author(s):  
J. M. Watt
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Method ◽  
Initial Value Problem ◽  
General Class ◽  
Asymptotic Form ◽  
Multistep Methods ◽  
Discretization Error ◽  
Linear Multistep Methods ◽  
Initial Value

AbstractThe order and asymptotic form of the error of a general class of numerical method for solving the initial value problem for systems of ordinary differential equations is considered. Previously only the convergence of the methods, which include Runge-Kutta and linear multistep methods, has been discussed.

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