Publications (43)
Explicit coupling of acoustic and elastic wave propagation in finite difference simulations
Longfei Gao, David Keyes
We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic wave systems that are separated by straight interfaces. Such…
H2OPUS-TLR: High Performance Tile Low Rank Symmetric Factorizations using Adaptive Randomized Approximation
Wajih Boukaram, Stefano Zampini, George Turkiyyah +1
Tile low rank representations of dense matrices partition them into blocks of roughly uniform size, where each off-diagonal tile is compressed and stored as its own low rank factor…
Communication Complexity of the Fast Multipole Method and its Algebraic Variants
Rio Yokota, George Turkiyyah, David Keyes
A combination of hierarchical tree-like data structures and data access patterns from fast multipole methods and hierarchical low-rank approximation of linear operators from H-matr…
PETScML: Second-order solvers for training regression problems in Scientific Machine Learning
Stefano Zampini, Umberto Zerbinati, George Turkiyyah +1
In recent years, we have witnessed the emergence of scientific machine learning as a data-driven tool for the analysis, by means of deep-learning techniques, of data produced by co…
Constructing artificial life and materials scientists with accelerated AI using Deep AndersoNN
Saleem Abdul Fattah Ahmed Al Dajani, David Keyes
Deep AndersoNN accelerates AI by exploiting the continuum limit as the number of explicit layers in a neural network approaches infinity and can be taken as a single implicit layer…
Space-Fractional Diffusion with Variable Order and Diffusivity: Discretization and Direct Solution Strategies
Hasnaa Alzahrani, George Turkiyyah, Omar Knio +1
We consider the multidimensional space-fractional diffusion equations with spatially varying diffusivity and fractional order. Significant computational challenges are encountered…