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Based on the theory of approximation, this paper presents a unified analysis of interpolation and resampling techniques. An important issue is the choice of adequate basis functions. We show that, contrary to the common belief, those that perform best are ...
A recent paper (Trefry, M.G., 1998. Analytical series expressions for Hanhrsh's M and S functions. Water Resour. Res. 34, 909-913) provided several interesting results concerning the Hantush M function, an integral that arises often in analytical solutions ...
We present new quantitative results for the characterization of the L2 -error of wavelet-like expansions as a function of the scale a. This yields an extension as well as a simplification of the asymptotic error formulas that have been published ...
Our goal in this paper is to set a theoretical basis for the comparison of re-sampling and interpolation methods. We consider the general problem of the approximation of an arbitrary continuously-defined function f(x)—not necessarily bandlimited—when we va ...
Smoothing splines are commonly used to reconstruct an unknown continuous function given n discrete noisy samples. In the tuning of the regularization parameter, which controls the balance between smoothness and datafit, the most computerintensive part is t ...
This chapter presents a survey of interpolation and resampling techniques in the context of exact, separable interpolation of regularly sampled data. In this context, the traditional view of interpolation is to represent an arbitrary continuous function as ...
Indexed memory is used as a generic protocol for handling vectors of data in genetic programming. Using this simple method, a single program can generate many outputs. It eliminates the complexity of maintaining different trees for each desired parameter a ...
Time resolved photoluminescence in semiconductor microcavities in the strong coupling regime both for non-resonant and resonant excitation is modeled by considering scattering of exciton polaritons by acoustic phonons. Rise time and decay time of the lumin ...
KLUWER ACADEMIC PUBL, 101 PHILIP DRIVE, NORWELL, MA 020611996
Scattering rates of quantum-well excitons by acoustic phonons are calculated using realistic deformation potentials for electrons and holes in structures based on GaAs. These fates are used in order to reproduce the exciton dynamics in a time-resolved phot ...
In this survey paper, we describe how strands of work that are important in two different fields, matrix theory and complex function theory, have come together in some work on fast computational algorithms for matrices with what we call displacement struct ...
Society for Industrial and Applied Mathematics1995
