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» High dimensional polynomial interpolation on sparse grids
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ADCM
2000
86views more  ADCM 2000»
13 years 5 months ago
High dimensional polynomial interpolation on sparse grids
Volker Barthelmann, Erich Novak, Klaus Ritter
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 16 days ago
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
Abstract. We develop in this paper some efficient algorithms which are essential to implementations of spectral methods on the sparse grid by Smolyak's construction based on a...
Jie Shen, Haijun Yu
DAGSTUHL
2006
13 years 7 months ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee
COCO
2011
Springer
217views Algorithms» more  COCO 2011»
12 years 5 months ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin
SIAMNUM
2010
134views more  SIAMNUM 2010»
13 years 16 days ago
Nonequispaced Hyperbolic Cross Fast Fourier Transform
A straightforward discretisation of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even efficient algorithms like ...
Michael Döhler, Stefan Kunis, Daniel Potts