An overview of SuperLU: Algorithms, implementation, and user interface

By Xiaoye Sherry Li. 2003

534 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Hardware and Architecture, Statistical and Nonlinear Physics

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Citations in the corpus

SciPy 1.0-Fundamental Algorithms for Scientific Computing in Python (2019, methodology): “The C libraries that we wrap in SciPy include trlib 62 for optimization, SuperLU 63,64 for solving sparse linear systems, Qhull 65 for computational geometry and Cephes (http://www.netlib.org/ cephes/) for special functions.”
Locally conservative, stabilized finite element methods for variably saturated flow (2008, methodology): “The resulting linear systems on each level are solved using the sparse direct SuperLU solver [68] for simplicity, since the focus of this work is the finite element formulation and velocity postprocessing.”
The physics of streamer discharge phenomena (2020, methodology): “Examples of direct sparse solvers are MUMPS [295], SuperLU [296] and UMFPACK [297].”
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, methodology): “Thanks to techniques enabling parallel scalability and recognizing block structure, packages such as UMFPACK (Davis, 2004) and SuperLU (Li, 2005) have made direct methods competitive for quite large problems.”
Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, background): “Sparse direct solvers saw much improvement during the previous decade (Hénon et al., 2002; Li, 2005) and are practical for many two-dimensional problems and moderate three-dimensional problems (Farthing et al., 2003a).”
Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems (2015, methodology): “For the resulting system of linear equations, the direct solver SuperLU [21] is applied.”