3 papers
math.NA2026
Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation
Emmanuel Agullo, Hartwig Anzt, Daniel Bauer +37
Reduced and mixed precision have moved from a niche optimization to a central design axis in scientific computing and engineering, driven by energy constraints, heterogeneous accel…
math.NA2025
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
Petr Vacek, Hartwig Anzt, Erin Carson +3
Multigrid methods are popular iterative methods for solving large-scale sparse systems of linear equations. We present a mixed precision formulation of the multigrid V-cycle method…
math.NA2024
A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
Petr Vacek, Jan Papež, Zdeněk Strakoš
Multilevel methods represent a powerful approach in numerical solution of partial differential equations. The multilevel structure can also be used to construct estimates for total…