Abstract
The approximation of y = Ay + B(t)y +c(t) by linear multistep methods is studied. It is supposed that the matrix A is real symmetric and negative semidefinite, that the multistep method has an interval of absolute stability [-s, 0], and that h2 11 A 11 s s where h is the time step. A priori error bounds are derived which show that the exponential multiplication factor is of the form exp{'s III BjIII(nh)}, III B II n=maXo?t-,nh 11 B(t)jj.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
