2 citations · 2 across the 5 of their papers we have counts for
5 papers
Bessel Functions and Analysis of Circular Waveguides
Jaime Mora-Paz, Leszek Demkowicz, Christina G. Taylor +2
The paper is devoted to the study of circularly coiled optical slab waveguides, which is also applicable to acoustical waveguides. We use a change of variables and the classical Fr…
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…
An Energy Stable High-Order Cut Cell Discontinuous Galerkin Method with State Redistribution for Wave Propagation
Christina G. Taylor, Lucas C. Wilcox, Jesse Chan
Cut meshes are a type of mesh that is formed by allowing embedded boundaries to "cut" a simple underlying mesh resulting in a hybrid mesh of cut and standard elements. While cut me…
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…
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…