Multilevel Algorithms for Nonlinear Optmization

1995 ◽  
pp. 1-22 ◽  
Author(s):  
Natalia Alexandrov ◽  
J. E. Dennis
Keyword(s):  
Multilevel Algorithms

New Estimates for Multilevel Algorithms Including the V-Cycle

1993 ◽  
Vol 60 (202) ◽  
pp. 447 ◽  
Author(s):  
James H. Bramble ◽  
Joseph E. Pasciak
Keyword(s):  
Multilevel Algorithms

scholarly journals Multilevel Algorithms for Acyclic Partitioning of Directed Acyclic Graphs

2019 ◽  
Vol 41 (4) ◽  
pp. A2117-A2145 ◽  
Author(s):  
Julien Herrmann ◽  
M. Yusuf Özkaya ◽  
Bora Uçar ◽  
Kamer Kaya ◽  
Ümit V. Çatalyürek
Keyword(s):  
Directed Acyclic Graphs ◽  
Multilevel Algorithms ◽  
Acyclic Graphs

scholarly journals Multilevel Algorithms for Large-scope Molecular Dynamics Simulations of Nanostructures on Parallel Computers

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 123-128 ◽  
Author(s):  
Aiichiro Nakano ◽  
Rajiv K. Kalia ◽  
Priya Vashishta
Keyword(s):  
Molecular Dynamics ◽  
Physical Models ◽  
Preconditioned Conjugate Gradient ◽  
Levels Of Abstraction ◽  
Seamless Integration ◽  
Multilevel Algorithms ◽  
Curvilinear Coordinate ◽  
Large Scope ◽  
Multiple Levels ◽  
Dynamics Simulations

Molecular Dynamics (MD) is a powerful tool for the atomistic understanding of longrange stress-mediated phenomena, phonon properties, and mechanical failure of nanostructures. For realistic modeling of nanostructures, however, the scope of simulations must be extended to large system sizes, long simulated times, and complex realism. We have developed new multilevel algorithms and physical models encompassing multiple levels of abstraction: i) space-time multiresolution schemes; ii) adaptive curvilinear-coordinate load balancing; iii) hierarchical dynamics via a rigid-body/ implicit-integration/normal-mode approach; iv) variable-charge MD based on electronegativity equalization; and v) multilevel preconditioned conjugate gradient method. Fuzzy clustering is used to facilitate the seamless integration of the multiple levels of abstraction.

scholarly journals Multilevel Algorithms for Partitioning Power-Law Graphs

2005 ◽  
Author(s):  
Amine Abou-rjeili ◽  
George Karypis
Keyword(s):  
Power Law ◽  
Multilevel Algorithms

scholarly journals Multilevel Algorithms for Large-Scale Interior Point Methods

2010 ◽  
Vol 31 (6) ◽  
pp. 4152-4175 ◽  
Author(s):  
Michele Benzi ◽  
Eldad Haber ◽  
Lauren Taralli
Keyword(s):  
Interior Point ◽  
Large Scale ◽  
Interior Point Methods ◽  
Multilevel Algorithms

scholarly journals Parallel multilevel algorithms for hypergraph partitioning

2008 ◽  
Vol 68 (5) ◽  
pp. 563-581 ◽  
Author(s):  
Aleksandar Trifunović ◽  
William J. Knottenbelt
Keyword(s):  
Multilevel Algorithms ◽  
Hypergraph Partitioning

Fast Directional Multilevel Algorithms for Oscillatory Kernels

2007 ◽  
Vol 29 (4) ◽  
pp. 1710-1737 ◽  
Author(s):  
Björn Engquist ◽  
Lexing Ying
Keyword(s):  
Multilevel Algorithms
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