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156
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SIAMSC
2008
148views more  SIAMSC 2008»
15 years 3 months ago
Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking
A multilevel adaptive aggregation method for calculating the stationary probability vector of an irreducible stochastic matrix is described. The method is a special case of the ada...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
127
Voted
SIAMSC
2008
131views more  SIAMSC 2008»
15 years 3 months ago
Fast Monte Carlo Simulation Methods for Biological Reaction-Diffusion Systems in Solution and on Surfaces
Many important physiological processes operate at time and space scales far beyond those accessible to atom-realistic simulations, and yet discrete stochastic rather than continuum...
Rex A. Kerr, Thomas M. Bartol, Boris Kaminsky, Mar...
133
Voted
SIAMSC
2008
131views more  SIAMSC 2008»
15 years 3 months ago
Gramian-Based Model Reduction for Data-Sparse Systems
Model order reduction (MOR) is common in simulation, control and optimization of complex dynamical systems arising in modeling of physical processes and in the spatial discretizati...
Ulrike Baur, Peter Benner
SIAMSC
2008
168views more  SIAMSC 2008»
15 years 3 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
SIAMSC
2008
179views more  SIAMSC 2008»
15 years 3 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
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