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NA
2010
104views more  NA 2010»
13 years 2 months ago
New interpolants for asymptotically correct defect control of BVODEs
The defect of a continuous approximate solution to an ODE is the amount by which that approximation fails to satisfy the ODE. A number of studies have explored the use of asymptot...
Wayne H. Enright, P. H. Muir
ICTAI
2008
IEEE
14 years 1 months ago
The Performance of Approximating Ordinary Differential Equations by Neural Nets
—The dynamics of many systems are described by ordinary differential equations (ODE). Solving ODEs with standard methods (i.e. numerical integration) needs a high amount of compu...
Josef Fojdl, Rüdiger W. Brause
CPHYSICS
2007
126views more  CPHYSICS 2007»
13 years 7 months ago
Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates
We describe adaptive continuation algorithms for computing energy levels of the Bose–Einstein condensates (BEC) with emphasis on the rotating BEC. We show that the rotating BEC ...
S.-L. Chang, C.-S. Chien
JAT
2006
64views more  JAT 2006»
13 years 7 months ago
Nonlinear function approximation: Computing smooth solutions with an adaptive greedy algorithm
Opposed to linear schemes, nonlinear function approximation allows to obtain a dimension independent rate of convergence. Unfortunately, in the presence of data noise typical algo...
Andreas Hofinger
IPPS
1999
IEEE
13 years 11 months ago
An Object-Oriented Environment for Sparse Parallel Computation on Adaptive Grids
Many numerical solutions of large scale simulation models require finer discretizations in some regions of the computational grid. When this region is not known in advance, adapti...
Salvatore Filippone, Michele Colajanni, Dario Pasc...