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SIAMNUM
2010
131views more  SIAMNUM 2010»
15 years 1 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»
15 years 1 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»
15 years 1 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»
15 years 1 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»
15 years 1 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