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IPPS
2003
IEEE
13 years 10 months ago
Partitioning with Space-Filling Curves on the Cubed-Sphere
Numerical methods for solving the systems of partial differential equations arising in geophysical fluid dynamics rely on a variety of spatial discretization schemes (e.g. finit...
John M. Dennis
WCE
2007
13 years 6 months ago
High-Performance Multigrid Solvers in Reconfigurable Hardware
—Partial Differential Equations (PDEs) play an essential role in modeling real world problems. The broad field of modeling such systems has drawn the researchers’ attention for...
Safaa J. Kasbah, Issam W. Damaj
IPPS
2007
IEEE
13 years 11 months ago
Speedup using Flowpaths for a Finite Difference Solution of a 3D Parabolic PDE
Partial differential equations (PDEs) are used to model physical phenomena and then appropriate convergent numerical algorithms are employed to solve them and create computer simu...
Darrin M. Hanna, Anna M. Spagnuolo, Michael DuChen...
SIAMSC
2010
198views more  SIAMSC 2010»
13 years 3 months ago
Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
In this paper, we describe block matrix algorithms for the iterative solution of large scale linear-quadratic optimal control problems arising from the optimal control of parabolic...
Tarek P. Mathew, Marcus Sarkis, Christian E. Schae...
FCCM
2006
IEEE
111views VLSI» more  FCCM 2006»
13 years 11 months ago
Pipelined Mixed Precision Algorithms on FPGAs for Fast and Accurate PDE Solvers from Low Precision Components
FPGAs are becoming more and more attractive for high precision scientific computations. One of the main problems in efficient resource utilization is the quadratically growing r...
Robert Strzodka, Dominik Göddeke