Abstract
We show that spectral approximations converge for a broad class of partial differential equations. In particular, if the governing differential operator generates a strongly continuous linear contraction semigroup in a Hilbert space and the approximating subspaces satisfy a certain invariance condition with respect to the differential operator, then the standard spectral approximation scheme, as well as a slight modification thereof, converges in the Hilbert space norm.
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.
