The computation of acoltstic pressure fluctuations in a variable area tube is often done using the K elly-Lochbaum reflection model. The numerical scheme derived from this model can be put into the context of finite-difference approximations to a differential equation describing acoustic wave propagation (a hyperbolic differential equation). Quantitative criteria for goodness of finite-differen...

We introduce an accurate and efficient alternating-direction method for solving a viscous wave equation which is based on a three-level, second-order correct implicit algorithm and which has a splitting error not significantly larger than the truncation error of the base method.

The paper presents a new result for the existence and uniqueness of solutions of the system of nonlinear algebraic equations obtained from the application of the BDF methods to stii initial value problems in ordinary diierential equations. Expressed in terms of the local truncation error, starting errors in the BDF and contractivity properties of the diierential equation, the result is used to ...

A suboptimal filter to estimate a signal corrupted by a white noise, derived from the approximative Karhunen-Lo6ve expansion of the signal, is given. The convergence of the suboptimal filter is showed and a bound on the truncation error is found.

Study the interplay between roundoff error and truncation error in using the forward difference formula for the first derivative. Directory • Table of

The mel-cepstral coefficients are often calculated from the linear prediction coefficients by using recursion formulas. However, the obtained mel-cepstral coefficients have errors caused by truncation in the quefrency domain. The purpose of this report is to point out that the melcepstral coefficients can be calculated from the LP (Linear Prediction) coefficients using the recursion formulas wi...

The optimum Runge-Kutta method of a particular order is the one whose truncation error is a minimum. Various measures of the size of the truncation error are considered. The optimum method is practically independent of the measure being used. Moreover, among methods of the same order which one might consider using the difference in size of the estimated error is not more than a factor of 2 or 3...