Second derivative continuous linear multistep methods for the numerical integration of Stiff system of ordinary differential equations.

2008 ◽  
Vol 11 (1) ◽  
Author(s):  
F O Otunta ◽  
MN Ikhile ◽  
RI Okuonghae
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Integration ◽  
Multistep Methods ◽  
Linear Multistep Methods ◽  
Second Derivative ◽  
Continuous Linear ◽  
Stiff System

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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