3 papers
math.NA2025
Superconvergence Extraction of Upwind Discontinuous Galerkin Method Solving the Radiative Transfer Equation
Andres Galindo-Olarte, Zhichao Peng, Jennifer K. Ryan
We theoretically analyze the superconvergence of the upwind discontinuous Galerkin (DG) method for both the steady-state and time-dependent radiative transfer equation (RTE), and a…
math.NA2025
SIAC Accuracy Enhancement of Stochastic Galerkin Solutions for Wave Equations with Uncertain Coefficients
Andrés Galindo-Olarte, Jennifer K. Ryan
This article establishes the usefulness of the Smoothness-Increasing Accuracy-Increasing (SIAC) filter for reducing the errors in the mean and variance for a wave equation with unc…
math.NA2017
Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels
B. W. Wissink, G. B. Jacobs, J. K. Ryan +2
A smoothness-increasing accuracy conserving filtering approach to the regularization of discontinuities is presented for single domain spectral collocation approximations of hyperb…