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In a highly cyclic community (S3), vertices in each subgroup mostly connect directionally to vertices in the “next” adjacent subgroup. The new factorizations enable discovery of such phenomena.

Math for Data Mining

Newly developed mathematical techniques reveal important tools for data mining analysis.

simulation in the shape of a red cube
Legacy

Phase-Field Modeling

Based on a discretization and time-stepping algorithm, these equations include a local order parameter, a quaternion representation of local orientation, and species composition.

closeup of molecular simulation
Legacy

First-Principles Molecular Dynamics

This scalable first-principles MD algorithm with O(N) complexity and controllable accuracy is capable of simulating systems that were previously impossible with such accuracy.

NEWS
image from a telescope of distant galaxies and stars

Mapping cosmic shear to illuminate dark energy

In a recent study published in the Astrophysical Journal, LLNL researchers developed an innovative approach to map cosmic shear using linear algebra, statistics, and HPC.

person's hand holding an APU processor with supercomputer racks in the background

High performance computing at a crossroads

LLNL's Bruce Hendrickson joins other HPC luminaries in this op-ed about the future of the field.

colorful laser lines and circle on black background

S&TR cover story: Beginning at the end

The DarkStar inverse design technique blends AI, machine learning, and advanced hydrodynamics simulations to optimize science and engineering solutions starting from the final state.