A multigrid tutorial, Second Edition
By W. Briggs, V. Henson, S. McCormick. 2000
1,315 citations recorded by the source corpus.
Subfields: Computer Networks and Communications
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In Computer Networks and Communications
- J. Demmel
- Aydin Buluç
- Oded Schwartz
- Grey Ballard
- John R. Gilbert
- Srdjan Dobricic
- Eric J. M. Rignot
- Richard Szeliski
Citations in the corpus
- The Combinatorial BLAS: design, implementation, and applications (2011, methodology): “For example, the SpGEMM operation can be used to construct a coarser grid during the V-cycle of the Algebraic Multigrid (AMG) method (Briggs et al., 2000).”
- Multilevel Monte Carlo Path Simulation (2008, methodology): “This idea of using a geometric sequence of timesteps comes from the multigrid method for the iterative solution of linear systems of equations arising from the discretisation of elliptic partial differential equations [2, 21].”
- Comparing Solution Methods for Dynamic Equilibrium Economies (2006, methodology): “Experience from numerical analysis suggests that nonlinear solvers (as the simple Newton scheme that we used for our unknown coefficients) or multigrid schemes outperform pure iterative algorithms (see Briggs, Henson, and McCormick, 2000).”
- An oceanographic three-dimensional variational data assimilation scheme (2008, methodology): “The multigrid method is well known for the solution of partial differential equations (Brandt, 1977; Briggs et al., 2000).”
- Evaluating the performance of parallel subsurface simulators: An illustrative example with PFLOTRAN (2014, background): “Multigrid with its smoothing on a hierarchy of grid resolutions resolves a wide spectrum of error (i.e., high to low frequency) [ Briggs et al ., 2000; Trottenberg et al ., 2001].”
- Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM) (2012, methodology): “For the BP, the conditioning is not as good and we have to switch to a preconditioning based on the Multigrid Algebraic method [Briggs et al., 2000].”