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» In Praise of Numerical Computation
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WECWIS
2006
IEEE
141views ECommerce» more  WECWIS 2006»
14 years 2 months ago
Iterative Combinatorial Auctions with Linear Prices: Results of Numerical Experiments
Iterative Combinatorial Auctions (ICA) have been getting increasing attention in computer science and economics, as they provide an efficient solution to resource allocation prob...
Alexander Pikovsky, Pasha Shabalin, Martin Bichler
JC
2008
77views more  JC 2008»
13 years 8 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
INFORMATICALT
2006
77views more  INFORMATICALT 2006»
13 years 8 months ago
Parallel Numerical Algorithms for 3D Parabolic Problem with Nonlocal Boundary Condition
Three parallel algorithms for solving the 3D problem with nonlocal boundary condition are considered. The forward and backward Euler finite-difference schemes, and LOD scheme are t...
Raimondas Ciegis
SIAMSC
2008
146views more  SIAMSC 2008»
13 years 8 months ago
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation
Abstract. The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the view point of constrained dynamical systems or approximate Helmho...
Ping Lin, Jian-Guo Liu, Xiliang Lu
MCS
2008
Springer
13 years 8 months ago
Dynamical low-rank approximation: applications and numerical experiments
Dynamical low-rank approximation is a differential-equation based approach to efficiently computing low-rank approximations to time-dependent large data matrices or to solutions o...
Achim Nonnenmacher, Christian Lubich