The efficient utilization of mixed-precision numerical linear algebra algorithms can offer
attractive acceleration to scientific computing applications. Especially with the hardware …

The sparse triangular matrix solve (SpTrSV) is an important computation kernel that is
demanded by a variety of numerical methods such as the Gauss-Seidel iterations. However …

A geometric multigrid algorithm is introduced for solving nonsymmetric linear systems
resulting from the discretization of the variable density Navier–Stokes equations on …

A new class of distance-two interpolation methods for algebraic multigrid (AMG) that can be
formulated in terms of sparse matrix-matrix multiplications is presented and analyzed …

Abstract Additive Runge-Kutta methods designed for preserving highly accurate solutions in
mixed-precision computation were previously proposed and analyzed. These specially …

This paper presents a parallel preconditioning approach based on incomplete LU (ILU)
factorizations in the framework of Domain Decomposition (DD) for general sparse linear …

Half-precision hardware support is now almost ubiquitous. In contrast to its active use in AI,
half-precision is less commonly employed in scientific and engineering computing. The …

We revisit the implementation of iterative solvers on discrete graphics processing units and
demonstrate the benefit of implementations using extensive kernel fusion for pipelined …

With the hardware support for half-precision arithmetic on NVIDIA V100 GPUs, high-
performance computing applications can benefit from lower precision at appropriate spots to …

We develop a fully-coupled, fully-implicit approach for phase-field modeling of solidification
in metals and alloys. Predictive simulation of solidification in pure metals and metal alloys …