Towards Stable Mixed Pivoting Strategies for the Sequential and Parallel Solution of Sparse Symmetric Indefinite Systems

2007 ◽  
Vol 29 (3) ◽  
pp. 1007-1024 ◽  
Author(s):  
Iain S. Duff ◽  
Stéphane Pralet
Keyword(s):  
Parallel Solution ◽  
Indefinite Systems ◽  
Pivoting Strategies

scholarly journals Pivoting strategies for tough sparse indefinite systems

2013 ◽  
Vol 40 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Jonathan D. Hogg ◽  
Jennifer A. Scott
Keyword(s):  
Indefinite Systems ◽  
Pivoting Strategies

scholarly journals Parallel solution of 3D forward and inverse problems of airborne electromagnetic survey

2021 ◽  
Vol 1019 ◽  
pp. 012020
Author(s):  
M G Persova ◽  
Y G Soloveichik ◽  
D V Vagin ◽  
D S Kiselev ◽  
O S Trubacheva ◽  
...  
Keyword(s):  
Inverse Problems ◽  
Parallel Solution ◽  
Airborne Electromagnetic ◽  
Airborne Electromagnetic Survey

Parallel solution of telegraph line

2019 ◽  
Author(s):  
Gabriela Nečasová ◽  
Václav Šátek
Keyword(s):  
Parallel Solution

scholarly journals A single inverse-designed photonic structure that performs parallel computing

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Miguel Camacho ◽  
Brian Edwards ◽  
Nader Engheta
Keyword(s):  
Wave Equation ◽  
Feedback Loop ◽  
Photonic Structure ◽  
Quantum Devices ◽  
Microwave Frequencies ◽  
Parallel Solution ◽  
Design Build ◽  
Mathematical Problems ◽  
Computing Structure ◽  
Independent Integral

AbstractIn the search for improved computational capabilities, conventional microelectronic computers are facing various problems arising from the miniaturization and concentration of active electronics. Therefore, researchers have explored wave systems, such as photonic or quantum devices, for solving mathematical problems at higher speeds and larger capacities. However, previous devices have not fully exploited the linearity of the wave equation, which as we show here, allows for the simultaneous parallel solution of several independent mathematical problems within the same device. Here we demonstrate that a transmissive cavity filled with a judiciously tailored dielectric distribution and embedded in a multi-frequency feedback loop can calculate the solutions of a number of mathematical problems simultaneously. We design, build, and test a computing structure at microwave frequencies that solves two independent integral equations with any two arbitrary inputs and also provide numerical results for the calculation of the inverse of four 5 x 5 matrices.

An Approach to Parallel Computing in an Eulerian-Lagrangian Two-Phase Flow Model

2002 ◽  
Author(s):  
Marion W. Vance ◽  
Kyle D. Squires
Keyword(s):  
Collision Detection ◽  
Stokes Equations ◽  
Lagrangian Model ◽  
Rigid Sphere ◽  
Dispersed Phase ◽  
Particle Collisions ◽  
Two Phase ◽  
Current Effort ◽  
Index Method ◽  
Parallel Solution

An approach to parallel solution of an Eulerian-Lagrangian model of dilute gas-solid flows is presented. Using Lagrangian treatments for the dispersed phase, one of the principal computational challenges arises in models in which inter-particle interactions are taken into account. Deterministic treatment of particle-particle collisions in the present work pose the most computationally intensive aspect of the simulation. Simple searches lead to algorithms whose cost is O(N2p) where Np is the particle population. The approach developed in the current effort is based on localizing collision detection neighborhoods using a cell-index method and spatially distributing those neighborhoods for parallel solution. The method is evaluated using simulations of the gas-solid turbulent flow in a vertical channel. The instantaneous position and the velocity of any particle is obtained by solving the equation of motion for a small rigid sphere assuming that the resulting force induced by the fluid reduces to the drag contribution. Binary particle collisions without energy dissipation or inter-particle friction are considered. The carrier flow is computed using Large Eddy Simulation of the incompressible Navier-Stokes equations. The entire dispersed-phase population is partitioned via static spatial decomposition of the domain to maximize parallel efficiency. Simulations on small numbers of distributed memory processors show linear speedup in processing of the collision detection step and nearly optimal reductions in simulation time for the entire solution.

Polymer-Assisted Parallel Solution Phase Synthesis of Substituted Benzimidazoles.

ChemInform ◽  
2010 ◽  
Vol 33 (35) ◽  
pp. 123-123
Author(s):  
Young K. Yun ◽  
John A. Porco Jr. ◽  
Jeff Labadie
Keyword(s):  
Solution Phase ◽  
Phase Synthesis ◽  
Parallel Solution ◽  
Solution Phase Synthesis
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