Research
Research
Nonlocal Theories, Peridynamics, Calculus of Variation and Optimization, Partial Differential Equations.
Published and Submitted Papers
T. Dang, B. Alali, N. Albin - Regularity of Solutions for Peridynamics Equilibrium and Evolution Equations on Periodic Distributions (To appear in Journal of Peridynamics and Nonlocal Modeling, arXiv: 2410.19841).
T. Dang, B. Alali, N. Albin - Regularity of Solutions for the Nonlocal Wave Equation on Periodic Distributions (submitted, arXiv: 2408.00912).
T. Dang, B. Alali, N. Albin - Asymptotic Analysis for the Eigenvalues of Peridynamic Operators (arXiv: 2308.09338).
Papers in Preparation
T. Dang, B. Alali, N. Albin - Discontinuities in the nonlocal Poisson equation: Analysis and a semi-analytic spectral method.
T.Dang, B. Alali, N. Albin - Maximum principles and a new boundary value model for the nonlocal Poisson equation.
3rd UNCG Virtual PDE Conference, October 10-12, 2025.
9th SIAM Central States Section Annual Meeting, UMKC Division of Computing, Analytics & Mathematics, Kansas City, Missouri, October 5-6, 2024.
5th Kansas Mathematics Graduate Student Conference, University of Kansas, Lawrence, Kansas, December 2-3, 2023.
Graduate Student Seminar, Kansas State University, Manhattan, Kansas, September 19, 2023.
21st Prairie Analysis Seminar}, Kansas State University, Manhattan, Kansas, November 7-8, 2025.
Midwest Numerical Analysis Day 2025, University of Nebraska - Lincoln, Lincoln, Nebraska, April 5-6, 2025.
19th Prairie Analysis Seminar, Kansas State University, Manhattan, Kansas, November 3-4, 2023.
17th U. S. National Congress on Computational Mechanics, Albuquerque, New Mexico, July 23-27, 2023.
Computer Assisted Proofs in Applied Mathematics, SLMath, Summer 2025.
Peridynamic Theory of Solid Mechanics: Modeling, Computation, and Applications, USNCCM17, Summer 2023.