Date of Submission
Spring 2021
Academic Program
Mathematics
Project Advisor 1
Lauren Rose
Abstract/Artist's Statement
A mixed spline is a piecewise polynomial with varying degrees of smoothness. In this project, we characterize a basis for mixed splines over subdivisions of the reals based on a characterization for integer spline bases. We use our new characterization to find bases for modules of splines with boundary conditions with particular differentiability requirements on their boundaries and compare various aspects of the two.
Open Access Agreement
Open Access
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Barnet, Philip G., "Module Basis of Mixed Splines over R[x]" (2021). Senior Projects Spring 2021. 98.
https://digitalcommons.bard.edu/senproj_s2021/98
This work is protected by a Creative Commons license. Any use not permitted under that license is prohibited.