Abstract
A general method for constructing finite difference schemes for longtime integration problems is presented. It is demonstrated for discretizations of first and second space derivatives; however, the approach is not limited to these cases. The schemes are constructed so as to minimize the global truncation error, taking into account the initial data. The resulting second-order compact schemes can be used for integration times fourfold or more longer than previously studied schemes with similar computational complexity. A similar approach was used to obtain improved integration schemes.
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.
