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COMPUTING
2006
140views more  COMPUTING 2006»
9 years 4 months ago
A Numerical Study of the Xu Polynomial Interpolation Formula in Two Variables
In his paper "Lagrange interpolation on Chebyshev points of two variables" (J. Approx. Theor. 87, 220
Len Bos, Marco Caliari, Stefano De Marchi, Marco V...
COMPUTING
2006
119views more  COMPUTING 2006»
9 years 4 months ago
Sparse Grids, Adaptivity, and Symmetry
Sparse grid methods represent a powerful and efficient technique for the representation and approximation of functions and particularly the solutions of partial differential equat...
Harry Yserentant
COMPUTING
2006
76views more  COMPUTING 2006»
9 years 4 months ago
Hypergeometric Summation Algorithms for High-order Finite Elements
A. Becirovic, Peter Paule, Veronika Pillwein, Axel...
COMPUTING
2006
130views more  COMPUTING 2006»
9 years 4 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner
COMPUTING
2006
100views more  COMPUTING 2006»
9 years 4 months ago
Interval Arithmetic with Containment Sets
The idea of containment sets (csets) is due to Walster and Hansen, and the theory is mainly due to the first author. Now that floating point computation with infinities is widely a...
John D. Pryce, George F. Corliss
COMPUTING
2006
112views more  COMPUTING 2006»
9 years 4 months ago
Fast Summation of Radial Functions on the Sphere
Radial functions are a powerful tool in many areas of multidimensional approximation, especially when dealing with scattered data. We present a fast approximate algorithm for the ...
Jens Keiner, Stefan Kunis, Daniel Potts
COMPUTING
2006
102views more  COMPUTING 2006»
9 years 4 months ago
A Reliable Area Reduction Technique for Solving Circle Packing Problems
Abstract We are dealing with the optimal, i.e. densest packings of congruent circles into the unit square. In the recent years we have built a numerically reliable, verified method...
Mihály Csaba Markót, Tibor Csendes
COMPUTING
2006
127views more  COMPUTING 2006»
9 years 4 months ago
PHoMpara - Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems
The polyhedral homotopy continuation method is known to be a successful method for finding all isolated solutions of a system of polynomial equations. PHoM, an implementation of t...
T. Gunji, S. Kim, K. Fujisawa, M. Kojima
COMPUTING
2006
126views more  COMPUTING 2006»
9 years 4 months ago
Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems
We consider the problem of splitting a symmetric positive definite (SPD) stiffness matrix A arising from finite element discretization into the sum of edge matrices thereby assumi...
J. K. Kraus, Josef Schicho
COMPUTING
2006
130views more  COMPUTING 2006»
9 years 4 months ago
Dynamic Data Driven Simulations in Stochastic Environments
To improve the predictions in dynamic data driven simulations (DDDAS) for subsurface problems, we propose the permeability update based on observed measurements. Based on measurem...
Craig C. Douglas, Yalchin Efendiev, Richard E. Ewi...
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