High order stiffly stable composite multistep methods for numerical integration of stiff differential equations

1973 ◽  
Vol 13 (3) ◽  
pp. 272-286 ◽  
Author(s):  
Theodore A. Bickart ◽  
Zdenek Picel
Keyword(s):  
Differential Equations ◽  
Numerical Integration ◽  
Multistep Methods ◽  
High Order ◽  
Stiff Differential Equations

On the Improvement of Deconvolution With Digitized Data Using a Runge-Kutta Integration Scheme

1977 ◽  
Vol 99 (3) ◽  
pp. 190-192
Author(s):  
J. R. Houghton ◽  
M. A. Townsend ◽  
P. F. Packman
Keyword(s):  
Differential Equations ◽  
Numerical Integration ◽  
Input Function ◽  
High Order ◽  
Integration Scheme ◽  
Forcing Function ◽  
Pulse Type ◽  
Simple Change ◽  
Runge Kutta

A relatively simple change in the treatment of the input function in numerical integration of high-order differential equations by Runge-Kutta methods provides substantial improvements in accuracy, particularly when the forcing function is in digitized form. The Runge-Kutta-Gill coefficients are modified to incorporate the changes; with pulse-type excitations, improvements on the order of 2 to 50 times greater accuracy are demonstrated.

Sign in / Sign up

Export Citation Format

Share Document