Creating Summation by Parts Operators inspired by Finite Differences
Title
Creating Summation by Parts Operators inspired by Finite Differences
Subject
Physics
Description
My poster and notes on creating operators that satisfy the summation by parts property. These can be used to numerically approximate derivatives and solutionsto differential equations to a very high order of accuracy, with a guarantee that the numerical result is bounded.
I tried to create a large variety of operators with this property: some were successful; others weren't. These are inspired by finite differences in that the numerical result's values at the half-integers match what a finite difference would give.
I tried to create a large variety of operators with this property: some were successful; others weren't. These are inspired by finite differences in that the numerical result's values at the half-integers match what a finite difference would give.
Creator
Lynn Zhang
Date
2025
Files
Collection
Citation
Lynn Zhang, “Creating Summation by Parts Operators inspired by Finite Differences,” URSS SHOWCASE, accessed November 2, 2025, https://linen-dog.lnx.warwick.ac.uk/items/show/983.