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PVM
1999
Springer
13 years 11 months ago
Parallel Monte Carlo Algorithms for Sparse SLAE Using MPI
The problem of solving sparse Systems of Linear Algebraic Equations (SLAE) by parallel Monte Carlo numerical methods is considered. The almost optimal Monte Carlo algorithms are pr...
Vassil N. Alexandrov, Aneta Karaivanova
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 6 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
SIAMSC
2010
132views more  SIAMSC 2010»
13 years 6 months ago
New Algorithms for Optimal Online Checkpointing
Frequently, the computation of derivatives for optimizing time-dependent problems is based on the integration of the adjoint differential equation. For this purpose, the knowledge...
Philipp Stumm, Andrea Walther
CORR
2010
Springer
133views Education» more  CORR 2010»
13 years 7 months ago
Computational efficiency of fractional diffusion using adaptive time step memory
Abstract: Numerical solutions to fractional differential equations can be extremely computationally intensive due to the effect of non-local derivatives in which all previous time ...
Brian P. Sprouse, Christopher L. MacDonald, Gabrie...
ARC
2008
Springer
115views Hardware» more  ARC 2008»
13 years 9 months ago
A High Throughput FPGA-based Floating Point Conjugate Gradient Implementation
As Field Programmable Gate Arrays (FPGAs) have reached capacities beyond millions of equivalent gates, it becomes possible to accelerate floating-point scientific computing applica...
Antonio Roldao Lopes, George A. Constantinides