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ADCM
2008
71views more  ADCM 2008»
13 years 5 months ago
Numerical stability of biorthogonal wavelet transforms
Gerlind Plonka, Hagen Schumacher, Manfred Tasche
ADCM
2008
119views more  ADCM 2008»
13 years 4 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker
ADCM
2008
71views more  ADCM 2008»
13 years 5 months ago
Solvability of partial differential equations by meshless kernel methods
This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then ...
Y. C. Hon, Robert Schaback
ADCM
2008
76views more  ADCM 2008»
13 years 5 months ago
A multivariate Powell-Sabin interpolant
We consider the problem of constructing a C1 piecewise quadratic interpolant, Q, to positional and gradient data defined at the vertices of a tessellation of n-simplices in IRn . T...
Tatyana Sorokina, Andrew J. Worsey
ADCM
2008
59views more  ADCM 2008»
13 years 5 months ago
On translation invariant operators which preserve the B-spline recurrence
It was observed in [4] that the Hilbert transform of the univariate B-spline preserves the B-spline recurrence. Motivated by this observation, we characterize translation invarian...
Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang