A Second-Order Approximation to Optimal Sampling Regions

Jj -OPTIMAL SECOND ORDER DESIGNS FOR SYMMETRIC REGIONS

Second order H2 optimal approximation of linear dynamical systems

In this paper we consider the H2 optimal model reduction problem which has important applications in system approximation and has received considerable attention in the literature. An important link between special cases of this problem and rational interpolation using Krylov subspace projection methods has been recently established. We use this link to derive a solution of the second order opt...

Rate distortion optimal signal compression using second order polynomial approximation

In this paper we present a time domain signal compression algorithm based on the coding of line segments which are used to approximate the signal. These segments are fit in a way that is optimal in the rate distortion sense. The approach is applicable to many types of signals, but in this paper we focus on the compression of ElectroCardioGram (ECG) signals. As opposed to traditional time-domain...

Optimal order finite element approximation for a hyperbolic‎ ‎integro-differential equation

‎Semidiscrete finite element approximation of a hyperbolic type‎ ‎integro-differential equation is studied. The model problem is‎ ‎treated as the wave equation which is perturbed with a memory term.‎ ‎Stability estimates are obtained for a slightly more general problem.‎ ‎These, based on energy method, are used to prove optimal order‎ ‎a priori error estimates.‎

The second order shallow ice approximation

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