3 papers
math.NA2024
An Entropy Stable High-Order Discontinuous Galerkin Method on Cut Meshes
Christina G. Taylor, Jesse Chan
High-order entropy stable summation-by-parts (SBP) schemes are a class of robust and accurate numerical methods for hyperbolic conservation laws that are numerically stable at arbi…
math.NA2020
Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes
Jesse Chan, Christina G. Taylor
Entropy stable schemes replicate an entropy inequality at the semi-discrete level. These schemes rely on an algebraic summation-by-parts (SBP) structure and a technique referred to…
math.NT2018
Faulhaber's Problem Revisited: Alternate Methods for Deriving the Bernoulli Numbers--Part I
Christina Taylor
This paper sets the groundwork for the consideration of families of recursively defined polynomials and rational functions capable of describing the Bernoulli numbers. These famili…