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SIAMNUM
2010
131views more  SIAMNUM 2010»
14 years 11 months ago
A Rational Interpolation Scheme with Superpolynomial Rate of Convergence
The purpose of this study is to construct a high-order interpolation scheme for arbitrary scattered datasets. The resulting function approximation is an interpolation function when...
Qiqi Wang, Parviz Moin, Gianluca Iaccarino
SIAMSC
2010
210views more  SIAMSC 2010»
14 years 11 months ago
On Two-Dimensional Sparse Matrix Partitioning: Models, Methods, and a Recipe
We consider two-dimensional partitioning of general sparse matrices for parallel sparse matrix-vector multiply operation. We present three hypergraph-partitioning-based methods, ea...
Ümit V. Çatalyürek, Cevdet Aykana...
SIAMSC
2010
159views more  SIAMSC 2010»
14 years 11 months ago
The Fast Generalized Gauss Transform
The fast Gauss transform allows for the calculation of the sum of N Gaussians at M points in O(N + M) time. Here, we extend the algorithm to a wider class of kernels, motivated by ...
Marina Spivak, Shravan K. Veerapaneni, Leslie Gree...
SIAMSC
2010
145views more  SIAMSC 2010»
14 years 11 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
SIAMSC
2010
155views more  SIAMSC 2010»
14 years 11 months ago
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
In this paper we proposed quasi-Newton and limited memory quasi-Newton methods for objective functions defined on Grassmannians or a product of Grassmannians. Specifically we defin...
Berkant Savas, Lek-Heng Lim