Publications related to Optimal Spline Generators for Derivative Sampling

Indifference Pricing for Power Utilities

We study utility indiﬀerence pricing of claim streams with intertem- poral consumption and power (CRRA) utilities. We derive explicit for- mulas for the derivatives of the utility indiﬀerence price with respect to claims and wealth. The simple structure of ...

2009

Jet-Scheduling Control for SpiderCrane: Experimental Results

Dominique Bonvin, Christophe Salzmann, Philippe Müllhaupt, Davide Buccieri

SpiderCrane is a three-dimensional crane, whose main particularity lies in the absence of large inertial moving parts. This paper presents experimental results obtained with the novel jet-scheduling control methodology that is based on differential flatnes ...

2008

Time-lag in Derivative Convergence for Fixed Point Iterations

Daniel Kressner

In an earlier study it was proven and experimentally confirmed on a 2D Euler code that fixed point iterations can be differentiated to yield first and second order derivatives of implicit functions that are defined by state equations. It was also asserted ...

2005

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Density-functional perturbational theory for dielectric tensors in the ultrasoft pseudopotential scheme

Alfredo Pasquarello

We introduce a density-functional perturbational scheme based on ultrasoft pseudopotentials for calculating dielectric tensors of periodic systems. We obtain a variational functional for the second-order derivative of the energy with respect to an electric ...

2004

Fractional Wavelets, Derivatives, and Besov Spaces

Michaël Unser, Thierry Blu

We show that a multi-dimensional scaling function of order γ (possibly fractional) can always be represented as the convolution of a polyharmonic B-spline of order γ and a distribution with a bounded Fourier transform which has neither order nor smoothness ...

SPIE2003

Scope and limitations of the double [4+3]-cycloadditions of 2-oxyallyl cations to 2,2 '-methylenedifuran and derivatives

Pierre Vogel, Marc-Etienne Schwenter, Kai Torsten Meilert

The reactivity of various 2-oxyallyl cations toward 2,2'-methylenedifuran (1b), 2,2'-(hydroxymethyl)difuran (1c), 2,2'-(trimethylsilylmethylene)difuran (1d), and di(2-furyl)methanone (1e) has been explored. Difuryl derivatives 1c, 1d, and le refused to und ...

2003

$ l _{ p } $ -Multiresolution Analysis: How to Reduce Ringing and Sparsify the Error

Michaël Unser, Thierry Blu

We propose to design the reduction operator of an image pyramid so as to minimize the approximation error in the

l _{ p }

-sense (not restricted to the usual p=2), where p can take non-integer values. The underlying image model is specified using shift- ...

IEEE2002

Asymmetric synthesis of 1-aminopentadecane-3,5,7,9,11,13,15-heptols and of 1,15-diaminopentadecane-3,5,7,9,11,13-hexols and derivatives

Pierre Vogel, Sandrine Gerber

Starting from 2,2'-methylenedifuran, enantiomerically enriched (98%) (3R,5S,7R,9S,11R,13R)- and (3R,5S,7S,9R,11R,13R)-15-amino-5,7,9,11-tetrahydroxy-3,13-bis(4-methoxyb enzoyloxy)pentadec-1-yl) pivalate were prepared as well as (3R,5R,7R,9R,11S,13S)-1,15-d ...

2002

Derivatives of (2R,3R,4S)-2-Aminomethylpyrrolidine-3,4-diol are Selective alpha-Mannosidase Inhibitors

Pierre Vogel, Sandrine Gerber, Inmaculada Robina, Eliazar Rodriguez Garcia, Raynald Demange

A collection of (2R,3R,4S)-3,4-dihydroxypyrrolidin-2-yl derivatives have been tested for their inhibitory activities toward 25 glycosidases. Competitive (K-i=7.4 VM) and selective inhibition of alpha -mannosidase from jack bean has been found for (2R,3R,4S ...

2001

Optimal Spline Generators for Derivative Sampling

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Indifference Pricing for Power Utilities

Jet-Scheduling Control for SpiderCrane: Experimental Results

Time-lag in Derivative Convergence for Fixed Point Iterations

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Density-functional perturbational theory for dielectric tensors in the ultrasoft pseudopotential scheme

Fractional Wavelets, Derivatives, and Besov Spaces

Scope and limitations of the double [4+3]-cycloadditions of 2-oxyallyl cations to 2,2 '-methylenedifuran and derivatives

$ l _{ p } $ -Multiresolution Analysis: How to Reduce Ringing and Sparsify the Error

Asymmetric synthesis of 1-aminopentadecane-3,5,7,9,11,13,15-heptols and of 1,15-diaminopentadecane-3,5,7,9,11,13-hexols and derivatives

Derivatives of (2R,3R,4S)-2-Aminomethylpyrrolidine-3,4-diol are Selective alpha-Mannosidase Inhibitors

Indifference Pricing for Power Utilities

Jet-Scheduling Control for SpiderCrane: Experimental Results

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Time-lag in Derivative Convergence for Fixed Point Iterations

Density-functional perturbational theory for dielectric tensors in the ultrasoft pseudopotential scheme

Derivatives of (2R,3R,4S)-2-Aminomethylpyrrolidine-3,4-diol are Selective alpha-Mannosidase Inhibitors

$ l _{ p } $ -Multiresolution Analysis: How to Reduce Ringing and Sparsify the Error

Asymmetric synthesis of 1-aminopentadecane-3,5,7,9,11,13,15-heptols and of 1,15-diaminopentadecane-3,5,7,9,11,13-hexols and derivatives

Fractional Wavelets, Derivatives, and Besov Spaces

Scope and limitations of the double [4+3]-cycloadditions of 2-oxyallyl cations to 2,2 '-methylenedifuran and derivatives