From discrete to continuous percolation in dimensions 3 to 7
The convergence of a discrete model to its continuous limit is controlled by a power-law dependency with a universal exponent θ=3/2, which allows us to estimate the continuous percolation thresholds in a model of aligned hypercubes in dimensions d=3,…,7 with accuracy far better than that attained using any other method before.
clSPARSE: A Vendor-Optimized Open-Source Sparse BLAS Library
- J. Greathouse, Kent Knox, J. Pola, Kiran Varaganti, Mayank Daga
- Computer ScienceInternational Workshop on OpenCL
- 19 April 2016
Sparse linear algebra is a cornerstone of modern computational science. These algorithms ignore the zero-valued entries found in many domains in order to work on much larger problems at much faster…
Is Magnus effect relevant for proppant settling in narrow fractures
- J. Pola, M. Bancewicz, Z. Koza
- Physics
- 1 September 2017
Sparse Matrix-Vector Product
- Z. Koza, M. Matyka, L. Miroslaw, J. Pola
- Computer ScienceNumerical Computations with GPUs
- 2014
The foundations of its implementation on CUDA- and OpenCL-enabled devices are presented and complete codes of several SpMV kernels for both basic SpMv formats and some of its derivatives, including CMRS are presented.
Simulations of proppant transport in microfractures
- M. Bancewicz, J. Pola, Z. Koza
- Geology
- 1 April 2017
During the hydraulic fracturing of oil and gas shales a mixture of fracking fluid and solid proppant is injected into the rock fractures. Since this process takes place under physically extreme…