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JC
2008
96views more  JC 2008»
13 years 4 months ago
Adaptivity and computational complexity in the numerical solution of ODEs
In this paper we analyze the problem of adaptivity for one-step numerical methods for solving ODEs, both IVPs and BVPs, with a view to generating grids of minimal computational co...
Silvana Ilie, Gustaf Söderlind, Robert M. Cor...
CPHYSICS
2010
64views more  CPHYSICS 2010»
13 years 4 months ago
Numerical solution of singular ODE eigenvalue problems in electronic structure computations
Robert Hammerling, Othmar Koch, Christa Simon, Ewa...
CCA
2009
Springer
13 years 9 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs under Interv
Interval computations estimate the uncertainty of the result of data processing in situations in which we only know the upper bounds ∆ on the measurement errors. In this case, ba...
Vladik Kreinovich
SIAMNUM
2011
139views more  SIAMNUM 2011»
12 years 11 months ago
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
Nabi Chegini, Rob Stevenson
INFORMATICALT
2000
126views more  INFORMATICALT 2000»
13 years 4 months ago
Adaptive Integration of Stiff ODE
The accuracy of adaptive integration algorithms for solving stiff ODE is investigated. The analysis is done by comparing the discrete and exact amplification factors of the equatio...
Raimondas Ciegis, Olga Suboc, Remigijus Ciegis