6 citations · 11 across the 3 of their papers we have counts for
5 papers
An Algorithm for Computing Lipschitz Inner Functions in Kolmogorov's Superposition Theorem
Jonas Actor, Matthew G. Knepley
Kolmogorov famously proved that multivariate continuous functions can be represented as a superposition of a small number of univariate continuous functions, $$ f(x_1,\dots,x_n) =…
Extreme-scale Multigrid Components within PETSc
Dave A. May, Patrick Sanan, Karl Rupp +2
Elliptic partial differential equations (PDEs) frequently arise in continuum descriptions of physical processes relevant to science and engineering. Multilevel preconditioners repr…
A Stochastic Performance Model for Pipelined Krylov Methods
Hannah Morgan, Matthew G. Knepley, Patrick Sanan +1
Pipelined Krylov methods seek to ameliorate the latency due to inner products necessary for projection by overlapping it with the computation associated with sparse matrix-vector m…
A Nonlinear Boundary Condition for Continuum Models of Biomolecular Electrostatics
J. P. Bardhan, D. A. Tejani, N. S. Wieckowski +2
Understanding the behavior of biomolecules such as proteins requires understanding the critical influence of the surrounding fluid (solvent) environment--water with mobile salt ion…
Flexible, Scalable Mesh and Data Management using PETSc DMPlex
Michael Lange, Matthew G. Knepley, Gerard J. Gorman
Designing a scientific software stack to meet the needs of the next-generation of mesh-based simulation demands, not only scalable and efficient mesh and data management on a wide…