4 papers
A CUR Krylov Solver for Large-Scale Linear Matrix Equations
Saeed Akbari, Damiano Lombardi, Hessam Babaee
Developing efficient solvers for large-scale multi-term linear matrix equations remains a central challenge in numerical linear algebra and is still largely unresolved. This paper…
An Adaptive CUR Algorithm and its Application to Reduced-Order Modeling of Random PDEs
Grishma Palkar, Hessam Babaee
Certain classes of CUR algorithms, also referred to as cross or pseudoskeleton algorithms, are widely used for low-rank matrix approximation when direct access to all matrix entrie…
CUR for Implicit Time Integration of Random Partial Differential Equations on Low-Rank Matrix Manifolds
Mohammad Hossein Naderi, Sara Akhavan, Hessam Babaee
Dynamical low-rank approximation allows for solving large-scale matrix differential equations (MDEs) with significantly fewer degrees of freedom and has been applied to a growing n…
Skeletal Kinetics Reduction for Astrophysical Reaction Networks
A. G. Nouri, Y. Liu, P. Givi +2
A novel methodology is developed to extract accurate skeletal reaction models for nuclear combustion. Local sensitivities of isotope mass fractions with respect to reaction rates a…