Rapidly Decaying Harmonic Wavelet Expansion

Effects of rapidly decaying plasmas on Langmuir probe measurements

Sheath motion, displacement current, and probe edge effects on temporal Langmuir probe ~LP! ion saturation current measurements are investigated for a pulsed laser produced plasma during the period 100 ns→1000 ns after the turn on of the laser pulse. The plasma has a large volume ~hundreds of cm! and a high initial plasma density (ne.10 13 cm). The sheath motion and edge effects are found to be...

Computation of Decaying Turbulence in an Adaptive Wavelet Basis Computation of Decaying Turbulence in an Adaptive Wavelet Basis

The paper presents computations of decaying two{dimensional turbulence in an adaptive wavelet basis. At each time step the vorticity is represented by an adaptively selected set of wavelet functions which adjusts to the instantaneous distribution of vorticity. The results of this new algorithm are compared to a classical Fourier method and a Fourier method supplemented with wavelet compression ...

Harmonic Wavelet Analysis of Sound

Oversampling Expansion in Wavelet Subspaces

We find necessary and sufficient conditions for (shifted) oversampling expansions to hold in wavelet subspaces. In particular, we characterize scaling functions with the (shifted) oversampling property. We also obtain L and L∞ norm estimates for the truncation and aliasing errors of the oversampling expansion.

A Very Rapidly Convergent Product Expansion For

There has recently been considerable interest in an essentially quadratic method for computing n. The algorithm, first suggested by Salamin [6], is based upon an identity known to Gauss [-3, p. 377], [4]. This iteration has been used by two Japanese researchers, Y. Tamura and Y. Kanada, to compute 223 decimal digits of n in under 7 hours. They have now successfully computed 224 digits (more tha...