Abstract
We give general algorithms for the numerical integration of ordinary differential equations (ODEs) that possess a first integral I( x). Our discrete algorithms preserve the integral I exactly. Our method works both for dissipative and for all Hamiltonian ODEs. For non-Hamiltonian systems a sufficient (but not necessary) condition for our method to work is that ƒ∇Iƒ ≠ 0 on the isosurface we are integrating on.
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.
