Talks and Presentations (Recent)
Session 1: A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation, Session 2: Stability and Time-Step Constraints of Exponential Time Differencing Runge-Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations, 2025 SIAM New York-New Jersey-Pennsylvania Section Conference, Pennsylvania State University, State College, PA, 31 October - 2 November, 2025.
A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation, the 10th Annual Meeting of SIAM Central States Section, University of Arkansas, Fayetteville, Arkansas, October 11–12, 2025.
High-order exponential time differencing (ETD) multi-resolution alternative finite difference WENO methods (A-WENO) for nonlinear degenerate parabolic equations, Texas-Louisiana Section of SIAM 8th Annual Meeting, University of Texas at Austin, Austin, Texas, September 26–28, 2025.
Stability and Time-Step Constraints of Exponential Time Differencing Runge-Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations, SIAM-SEAS, The University of Tennessee, Knoxville, March 21-23, 2025.
High-order exponential time differencing (ETD) multi-resolution alternative finite difference WENO methods (A-WENO) for nonlinear degenerate parabolic equations, The 9th SIAM Central States Section Annual Meeting, Kansas City, Missouri, October 5-6, 2024.
An Interior Penalty Discontinuous Galerkin (IPDG) Method for an Interface Model of Flow in Fractured Porous Media, the third North American High Order Methods Conference (NAHOMCon), Dartmouth College, Hanover, New Hampshire, June 17-19, 2024.
A high-order well-balanced discontinuous Galerkin method for hyperbolic balance laws with non-hydrostatic equilibria, the 8th Annual Meeting of SIAM Central States Section, Lincoln, Nebraska, October 7-8, 2023.
The Hybrid-Dimensional Darcy’s Law: A Non-Conforming Reinterpreted Discrete Fracture Model (RDFM) for the Compressible Miscible Displacement and Multicomponent Gas Flow in Fractured Media, SPE Reservoir Simulation Conference, Galveston, TX, Mar. 2023.
On the Conservation and Lax-Wendroff Theorem of Positivity-preserving Discontinuous Galerkin Methods for Stationary Hyperbolic Equations, CSCDR Seminar, Umass Dartmouth, North Dartmouth, MA, Oct. 2022.
A Reinterpreted Discrete Fracture Model for Fracture and Barrier Networks on Non-Conforming Meshes, SIAM Annual Meeting, Virtually, Jul. 2022.
High Order Conservative Positivity-Preserving Discontinuous Galerkin Method for Stationary Hyperbolic Equations, Copper Country Workshop on Applied Mathematics, Statistics, and Data Sciences, Michigan Technologycal University, Houghton, MI, Jul. 2022.
The Hybrid-Dimensional Darcy’s Law: A Novel Discrete Fracture Model for Fracture and Barrier Networks on Non-Conforming Meshes, SIAM Annual Meeting, Virtually, Jul. 2021.
The Hybrid-Dimensional Representation of Permeability Tensor: A Reinterpretation of the Discrete Fracture Model and its Extension on Nonconforming Meshes, SIAM Conference on Mathematical & Computational Issues in the Geosciences, Virtually, Jun. 2021.