A continuous interior penalty hp-finite element method that penalizes the jump of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for first-order and advection-dominated transport operators. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpolation...

Cardiovascular disease (CVD) is the one of the biggest health problem in Indian and around the world as well. Electrocardiogram is a traditional method used for the diagnosis of heart diseases for about a century. Maintaining and retrieving patient history during a course of treatment is a essential but a laborious process. More particularly, over a decade ago thermal ECG records were stored ph...

A continuous interior penalty hp-finite element method that penalizes the jump of the gradient of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for advection and advection-diffusion equations. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpola...

An anti-aliasing formula is derived for interferometric redatuming of seismic data. More generally, this formula is valid for numerical implementation of the reciprocity equations of correlation type, which is used for redatuming, extrapolation, interpolation, and migration. The anti-aliasing condition can be, surprisingly, more tolerant of a coarser trace sampling compared to the standard anti...

Seismic trace interpolation is necessary for high-resolution imaging when the acquired data are not adequate or when some traces are missing. Projection-onto-convex-sets (POCS) interpolation can gradually recover missing traces with an iterative algorithm, but its computational cost in a 3D CPU-based implementation is too high for practical applications. We present a computing scheme to speedup...

Methods for stochastic trace estimation often require the repeated evaluation of expressions form zTpn(A)z, where A is a symmetric matrix and pn degree n polynomial written in standard or Chebyshev basis. We show how to evaluate these using only ⌈n∕2⌉ matrix–vector products, thus substantially reducing cost existing algorithms that use interpolation Taylor series.

Recent SVD-free matrix factorization formulations have enabled rank optimization for extremely large-scale systems (millions of rows and columns). In this paper, we consider rank-regularized formulations that only require a target data-fitting error level, and propose an algorithm for the corresponding problem. We illustrate the advantages of the new approach using the Netflix problem, and use ...

We show that the positive part of a result on interpolation by Bloch functions due to B. Bøe and A. Nicolau is a direct consequence of C. Sundberg’s description of the traces of BMOA functions on interpolating sequences for H∞. The Bloch space B consists of all the analytic functions f in the unit disk D of the complex plane such that ‖f‖B = sup z∈D (1− |z|)|f ′(z)| < ∞. Recall that the hyperbo...

Single rows in STIS rectified spectral images are being analyzed in science programs where the highest obtainable spatial resolution is needed. Here we discuss a problem that limits the accuracy of rectified spectral images that contain spatially unresolved components. Because the point spread function is undersampled along the slit, interpolation between the rows of the distorted spectral imag...

This article introduces the theory behind digital order tracking, which is implemented by oversampling, interpolation and resampling techniques in Brüel&Kjær instrumentation. As application examples order tacking is applied to the vibration signal from a coast down of a turbogenerator from a power plant station, a run-up of a large marine diesel engine, gated measurement on an automobile engine...