- burgers_2012_ornl.pdf, "Parallel Collocation for Uncertainty Quantification on High Performance Systems", a talk given at Oak Ridge National Laboratory, 02 May 2012.
- burgers_2013_ajou.pdf, "Investigating Uncertain Parameters in the Burgers Equation", presented to the Mathematics Department, Ajou University, Suwon, Korea, 13 August 2013.
- chain_2014_fsu.pdf, "The Curse in the Mail Box: the Message in Chain Letters", a work in progress.
- climate_2011_fsu.pdf, "The Big Thaw: Simulating Greenland's Future", presented to the FSU Department of Scientific Computing Graduate Student Seminar, 08 April 2011.
- continuation_2014_fsu.pdf, "The Continuation Method for Algebraic Equations", a short discussion of the basic continuation method, demonstrated by seeking a sequence of points on the unit circle. This document was prepared for a graduate student who wanted to know how to discretize a boundary curve defined by a formula;
- cvt_basis.pdf, "The CVT Basis Generation Algorithm";
- cvt_periodic_2016_fsu.pdf, "A periodic Centroidal Voronoi Tessellation"; presented at the Scientific Communication Conference, 03 August 2016, Florida State University;
- delaunay_refinement.pdf, "The Number of Nodes in Delaunay Mesh Refinement on a Sphere";
- fem_basis_2013_fsu.pdf, "The Finite Element Basis for Simplices in Arbitrary Dimensions";
- fem_ns1.pdf, "Finite element treatment of the Navier-Stokes equations: Part I: the Navier Stokes Equations".
- fem_ns2.pdf, "Finite element treatment of the Navier-Stokes equations: Part II: Finite element geometry and basis functions";
- fem_ns3.pdf, "Finite element treatment of the Navier-Stokes equations: Part III: Solving the discretized Stokes equations";
- fem_ns4.pdf, "Finite element treatment of the Navier-Stokes equations: Part IV: Solving the discretized Navier Stokes Equations";
- fem_ns5.pdf, a draft of a discussion of the computation and use of a compressed column sparse matrix format for the jacobian.
- fsu_student_talk.pdf, "Thoughts on the job process for Ph.D.-level jobs in mathematics and computational mathematics";
- genetic_2013_fsu.pdf, "Genetic Algorithms", presented to the Junior Seminar, FSU Department of Scientific Computing, 04 February 2013.
- genetic_2013_trinity.pdf, "Genetic Algorithms", presented to the Undergraduate Seminar, Trinity University, San Antonio, Texas, 21 February 2013.
- hermite_interpolant_2011_fsu.pdf, "Computing the Hermite Interpolant Polynomial", a discussion of the standard interpolating polynomial, the simple Hermite interpolating polynomial (function values plus derivatives), and a procedure for computing it;
- hypersphere_2013_san_diego.pdf "A Hyperspherical Method for Discontinuity Location in Uncertainty Quantification", presented at the SIAM Annual Meeting, San Diego, California, 8-12 July 2013;
- hypersphere_2014_siam_seas.pdf "A Hyperspherical Method for Discontinuity Location in Uncertainty Quantification", presented at the SIAM SEAS conference, Florida Institute of Technology, Melbourne, Florida, 28-30 March 2014;
- infinity_2011_upg.pdf, "The Capture of Infinity", presented to the Math Club of the University of Pittsburgh at Greensburg, 07 December 2011;
- interp1d_2012_ornl.pdf, "The Interpolation Problem in 1D", a talk given at Oak Ridge National Laboratory, 20 August 2012.
- jacobi_poisson_1d.pdf, "Jacobi Iterative Solution of Poisson's Equation in 1D";
- kl_2012_fsu.pdf, "Covariance, Correlation, and the KL-Expansion";
- matlab_fast_2010_fsu, "Fast Programs, Big Problems" presented to the FSU Department of Scientific Computing class, ISC 3222-01, "Symbolic and Numeric Calculations", Professor Ming Ye, 12:20-1:10pm, 152 DSL, 19/22 November 2010.
- matlab_fast_2012_fsu, "Fast Programs, Big Problems" presented to the FSU Department of Scientific Computing class, ISC 3222-01, "Symbolic and Numeric Calculations", Professor Ming Ye, 12:20-1:10pm, 152 DSL, 5/7 November 2012.
- matlab_fast_2012_tulane.pdf, "Maximum MATLAB", a talk presented to the mathematics graduate students at Tulane University, New Orleans, 12 January 2012;
- matlab_parallel.pdf, "Parallel Programming with MATLAB", by John Burkardt and Gene Cliff.
- matlab_parallel_2011_fsu.pdf, "Parallel MATLAB at FSU: PARFOR and SPMD", presented at the FSU Department of Scientific Computing, 31 March 2011.
- matlab_parfor_2011_vt.pdf, "Parallel MATLAB: Parallel FOR Loops", a presentation to the Mathematics Department at Virginia Tech, 31 May 2011;
- matlab_parfor_2012_fsu.pdf, "Parfor for MATLAB", a talk on parallel programming with PARFOR in MATLAB, given in the FSU Department of Scientific Computing Summer Seminar Series, 24/26 July 2012.
- matlab_spmd_2011_vt.pdf, "Parallel MATLAB: Single Program Multiple Data", a presentation to the Mathematics Department at Virginia Tech, 02 June 2011;
- matlab_tasks_2011_fsu.pdf, "Parallel MATLAB at FSU: Task Computing", presented at the FSU Department of Scientific Computing, 07 April 2011.
- mesh_2012_fsu.pdf, "How to Make a Mesh", a talk on generating meshes for 2D, 2.5D, and 3D, given in the FSU Department of Scientific Computing Summer Seminar Series, 10/12 July 2012.
- mesh_2014_fsu.pdf, "How to Make a Mesh", a talk on generating meshes in two dimensions, presented to the FSU Department of Scientific Computing Graduate Student Seminar ISC5934, 11 April 2014.
- mesh_2016_fsu.pdf, "How to Make a Mesh", a talk on generating meshes, presented to the FSU Department of Scientific Computing Graduate Student Seminar ISC5934, 22 January 2016.
- mesh_2016_greensburg.pdf, "My Computer Dreams in Triangles", a talk on generating meshes, presented to the Conference for Careers and Undergraduate Research in the Natural Sciences, University of Pittsburgh at Greensburg, 16 April 2016.
- model_problems.pdf, "Model Problems", a presentation of some sample problems for mathematical modeling, given at Virginia Tech, 04 May 2013.
- mpi_2005_fsu.pdf, "Introduction to MPI", presented to the Graduate Seminar, FSU School of Computational Science, 21 October 2005.
- mpi_2008_acs2.pdf, "Distributed Memory Programming with MPI", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 16/18 October 2008.
- mpi_2008_acs2_exercises.pdf, "Distributed Memory Programming with MPI: Exercises", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 16/18 October 2008.
- mpi_2009_ajou.pdf, "MPI Distributed Programming", presented to the Mathematics Department, Ajou University, Suwon, Korea, 13 May 2009.
- mpi_2009_vt.pdf, "MPI Distributed Programming", presented to the Faculty Development Institute Summer Track V, Virginia Tech, 26-28 May 2009.
- mpi_2011_acs2.pdf, "Distributed Memory Programming with MPI", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 25/27 October 2011.
- mpi_2011_acs2_exercises.pdf, "Distributed Memory Programming with MPI: Exercises", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 01 November 2011.
- mpi_2012_acs2.pdf, "Distributed Memory Programming with MPI", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 18/23 October 2012.
- mpi_2012_acs2_exercises.pdf, "Distributed Memory Programming with MPI: Exercises", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 23 October 2012.
- mpi_2012_fsu.pdf, "Distributed Memory Programming with MPI", presented to the Parallel and Distributed Monte Carlo Methods class, FSU Department of Scientific Computing, 13 July 2012.
- mpi_2013_acs2.pdf, "Distributed Memory Programming with MPI", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 10/15 October 2013.
- mpi1_2008_vt.pdf, "Introductory MPI", presented to the Faculty Development Institute Summer Track V class, Virginia Tech, 10-12 June 2008.
- mpi2_2008_vt.pdf, "Using MPI", presented to the Faculty Development Institute Summer Track V class, Virginia Tech, 10-12 June 2008.
- multigrid_poisson_1d.pdf, "Multigrid Iterative Solution of Poisson's Equation in 1D";
- openmp_2013_acs2.pdf, "Shared Memory Programming with OpenMP", presented to the Advanced Computational Science II class, FSU Department of Scientific Computing, 03/05 October 2013.
- peridynamic_quadrature.pdf, "Quadrature Rules for Peridynamics Problems", by Miroslav Stoyanov.
- polyominoes_2018_pitt.pdf, "The Shattered Urn: Rebuilding Objects with Linear Algebra", a talk given to the Numerical Mathematics Colloquium, at the University of Pittsburgh, 20 November 2018.
- polyominoes_2018_sc.pdf, "The Shattered Urn: Rebuilding Objects with Linear Algebra", a talk given to the SIAM Graduate Colloquium at the University of South Carolina, 13 November 2018.
- polyominoes_2018_upg.pdf, "The Shattered Urn: Rebuilding Objects with Linear Algebra", a talk given to the SIAM Colloquium and Seminar Series at the University of Pittsburgh at Greensburg, 15 November 2018.
- sgmga_1d_rules.pdf, "1D Quadrature Rules for Sparse Grids".
- sgmga_ccs.pdf, "Slow Exponential Growth for Clenshaw Curtis Sparse Grids".
- sgmga_coefficient.pdf, "The Combining Coefficient for Anisotropic Sparse Grids".
- sgmga_counting.pdf, "Counting the Abscissas in Sparse Grids".
- sgmga_gls.pdf, "Slow Growth for Gauss Legendre Sparse Grids".
- sgmga_gps.pdf, "Slow Exponential Growth for Gauss Patterson Sparse Grids".
- sgmga_precision.pdf, "On the precision of certain multidimensional quadrature schemes".
- shallow_water_2012_fsu.pdf, "What Makes the Ocean Wave?", a talk on approximating the shallow water equations, focussing on a simple code by Cleve Moler, given in the FSU Department of Scientific Computing Summer Seminar Series, 17/19 July 2012.
- siam_uq_2012_part1.pdf, "Analysis of SPDE's and numerical methods for UQ, Part I: Background, motivation, and tools of the trade", a tutorial presented at the SIAM Conference on Uncertainty Quantification, 03 April 2012, by Clayton Webster and John Burkardt.
- siam_uq_2012_part2.pdf, "Analysis of SPDE's and numerical methods for UQ, Part II: Well-posed SPDE's, regularity and numerical approximations", a tutorial presented at the SIAM Conference on Uncertainty Quantification, 03 April 2012, by Clayton Webster and John Burkardt.
- siam_uq_2012_part3.pdf, "Analysis of SPDE's and numerical methods for UQ, Part III: The Sparse Collocation Method", a tutorial presented at the SIAM Conference on Uncertainty Quantification, 03 April 2012, by Clayton Webster and John Burkardt.
- siam_uq_2012_part4.pdf, "Analysis of SPDE's and numerical methods for UQ, Part IV: Convergence of the sparse grid SCFEM and applications to stochastic inverse problems", a tutorial presented at the SIAM Conference on Uncertainty Quantification, 03 April 2012, by Clayton Webster and John Burkardt.
- slow_growth_2014_savannah.pdf, "Slow Growth for Sparse Grids", a presentation for the SIAM Uncertainty Quantification meeting, 31 March - 03 April 2014.
- slow_growth_paper.pdf, "On a Slow Growth Rule for Sparse Grids".
- snakes_2014_fsu.pdf, "Snakes and Ladders", a presentation to Max Gunzburger's research group, Florida State University, 16 September 2014.
- sparse_2013_ajou.pdf, "Sparse Grid Collocation for Uncertainty Quantification", presented to the Mathematics Department, Ajou University, Suwon, Korea, 14 August 2013.
- sparse_2014_fsu.pdf, "Sparse Grid Collocation for Uncertainty Quantification", presented to Max Gunzburger's research group, Florida State University, 13 February 2014.
- sparse_interpolant.pdf, "The Sparse Grid Interpolant".
- sphere_grid_2013_trinity.pdf, "Gridding the Earth for Climate Models", presented at Trinity University, San Antonio, Texas, 20 February 2013.
- sphere_grid_2014_fsu.pdf, "Gridding the Earth for Climate Models", presented to the FSU Department of Scientific Computing Graduate Student Seminar ISC5934, 21 February 2014.
- sphere_grid_2016_vt.pdf, "Parallel Quality Meshes for Earth Models", presented to the Virginia Tech Advanced Research Computing Center, 04 October 2016.
- stochastic_integrals_2013_fsu.pdf, "Approximating Integrals for Stochastic Problems", for presentation to the FSU class on "Numerical Methods for Stochastic Differential Equations", 26/28 February, 5/7/19/21 March 2013.
- stokes_2013_tulane.pdf, "Finite Elements for the (Navier) Stokes Equations", a talk on the computational issues involved in setting up a finite element solution for the Stokes or Navier Stokes equations of fluid flow, presented at Tulane University, New Orleans, 12 November 2013.
- stokes_2014_fsu.pdf, "Finite Elements for the Steady Stokes Equations", a talk on the computational issues involved in setting up a finite element solution for the steady Stokes equations of fluid flow, presented at Florida State University, 23 June 2014.
- truncated_normal.pdf, "The Truncated Normal Distribution", a discussion of the derivation, formulation, parameterization, sampling, quadrature and computation for the truncated normal distribution.
- truncated_normal_2013_fsu.pdf, "Truncated Normal Collocation", presented to Max Gunzburger's Research Group, Florida State University, 07 September 2013.
- truncated_normal_2014_fsu.pdf, "Truncated Normal Collocation", presented to the FSU Department of Scientific Computing Graduate Student Seminar ISC5934, 14 February 2014.
- voronoi_neighbors.pdf, "Determining Voronoi Neighbors Using MATLAB's VORONOIN Command".

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