Papers and Presentations

Computational Mathematics

Where do computational mathematics and computational statistics converge? - A good introduction to the fields of computational mathematics and computational statisitcs. Preprint, Accepted to Wiley Interdisciplinary Reviews: Computational Statistics

Creating and Using a Red-Black Matrix - A technical note

Incomplete Cholesky Factorization - Description and Fortran Subroutine for computing an incomplete Cholesky factorization of a sparse symmetric positive-definite matrix.

An Introduction to Gradient Computation by the Discrete Adjoint Method A good introduction to computing the gradient for PDE constrained problems by the discrete adjoint method, with simple 1-D data assimilation examples.

Calling Cuda functions from Fortran - Some tips and examples on calling cuda functions directly from a main fortran program.

CFD: Compressible Flows A brief introductory level slide presentation explaining some basic concepts of compressible flows along with corresponding computing aspects.

CFD Code Acceleration for Hybrid Many-Core Architectures - A presentation I gave at NASA Langley Research Centrer, Aug. 2, 2010.

Accelerating FUN3D on Hybrid Many-Core Architectures - A presentation I gave at the national Institute of Aerospace, Aug. 3, 2010.

An Improved Variable Density Pressure Projection Solver for Adaptive Meshes

A GPU Accelerated PCG Pressure Projection Solver on Dynamic Adaptive Grids - A presentation from the SIAM conference on Parallel Processing for Scientific Computing. Seattle WA, Feb 26th, 2010.

Gradient Free Design of Microfluidic Structures on a GPU Cluster - A presentation from the SIAM conference on Computational Science and Engineering. Reno NV, March 2nd, 2011.

A GPU/Multi-Core Accelerated Multigrid Preconditioned Conjugate Gradient Method for Adaptive Mesh Refinement - A presentation from the SIAM conference on Computational Science and Engineering. Reno NV, March 2nd, 2011.