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Joshua Lee Padgett's Presentations


  1. Structure-preserving operator splitting methods for nonlinear differential equations driven by rough paths; Joint Mathematics Meeting, Special Session; Denver, Colorado (January 2020) (invited).

  2. Modeling physical systems with the fractional Laplace operator and its use in the Anderson localization problem; The Center for Astrophysics, Space Physics, and Engineering Research; Baylor University; Waco, Texas (November 2019) (invited).

  3. A semi-analytical approach to approximating non-local equations arising in porous media; SIAM Northern States Section; Laramie, Wyoming (September 2019) (invited).

  4. A nonlinear splitting algorithm for approximating population models with self- and cross-diffusion; Biomathematics Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (September 2019) (invited).

  5. Hopf algebraic structure of numerical integrators for integro-differential equations; Geometry, Compatibility, and Structure-Preserving Conference; Issac Newton Institute, Cambridge University; Cambridge, United Kingdom (July 2019).

  6. Semi-analytical methods for the aproximation of abstract fractional extension problems; Applied Mathematics Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (April 2019) (invited).

  7. Anderson localization in nonlocal models; Analysis Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (February 2019) (invited).

  8. Operator splitting methods for approximating singular nonlinear differential equations; Numerical Analysis Seminar; Department of Mathematical Sciences, University of Delaware; Newark, Delaware (November 2018) (invited).

  9. Operator splitting methods for approximating singular nonlinear differential equations; Department Colloquium; Department of Mathematics, Baylor University; Waco, Texas (November 2018) (invited).

  10. Numerical integration techniques on manifolds and their Hopf algebraic structure; Geometry Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (October 2018) (invited).

  11. Analysis of exponential-type integration method for nonlocal diffusion problems; SIAM Annual Meeting; Special Session; Eugene, Oregon (June 2018) (invited).

  12. Lie-Butcher series from an algebraic geometry point of view; Geometry Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (April 2018) (invited).

  13. Approximating the fractional Laplace equation via operator theoretical methods; West Texas Applied Math Symposium; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (April 2018) (invited).

  14. An introduction to geometric numerical integration; Geometry Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (March 2018) (invited).

  15. Operator splitting methods for approximating differential equations; Junior Scholar Symposium; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (February 2018) (invited).

  16. An operator theoretical approach to nonlocal differential equations; Analysis Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (November 2017) (invited).

  17. Operator splitting and Lie group methods for geometric integration; Seminar in Applied Mathematics; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (November 2017) (invited).

  18. An exploration of quenching-combustion via globalized fractional models; SIAM Annual Meeting, Special Session; Pittsburgh, Pennsylvania (July 2017) (invited).

  19. Solving degenerate stochastic Kawarada equations via adaptive operator splitting methods; University of Central Arkansas; Conway, Arkansas (January 2017) (invited).

  20. An approach to the numerical solution of multidimensional stochastic Kawarada equations via adaptive operator splitting; Joint Mathematics Meeting; Atlanta, Georgia (January 2017).

  21. Using Matlab to solve nonlinear PDE; AMS Student Meeting; Baylor University; Waco, Texas (October 2016).

  22. Using an adaptive Crank-Nicolson scheme to solve the degenerate stochastic Kawarada equation on nonuniform grids; SIAM Central States Section Meeting, Special Session; Little Rock, Arkansas (September 2016) (invited).

  23. Positive and monotone solutions to quenching differential equations; Differential Equations Seminar; Baylor University; Waco, Texas (April 2016, 6 lectures).

  24. A semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations; AMS Spring Southeastern Sectional Meeting; Athens, Georgia (March 2016).

  25. A novel LOD method for solving degenerate Kawarada equations; CASPER Seminar; Waco, Texas (February (2016) (invited).

  26. Numerical solutions to singular differential equations; AMS Student Meeting; Baylor University; Waco, Texas (October 2015).

  27. An exploration of exponential splitting; Joint Mathematics Meeting, Special Session; San Antonio, Texas (January 2015) (invited).