A Posteriori Control of Modeling Errors and Discretization Errors

In this paper we evaluate the combined model and discretization errors for a class of hyperelastic-(visco-)plastic models. The aim is to control the total accuracy of the computation at the analysis of a structural component. It is possible to…

Contact pressure measurements in total knee replacements are often made using a discrete sensor such as the Tekscan K-Scan sensor. However, no method currently exists for predicting the magnitude of sensor discretization errors in contact force,…

Non-perturbative results for improvement and renormalization constants needed for on-shell and off-shell O(a) improvement of bilinear operators composed of Wilson fermions are presented. The calculations have been done in the quenched approximation…

The Gaussian beam superposition method is an asymptotic method for computing high frequency wave fields in smoothly varying inhomogeneous media. In this paper we study the accuracy of the Gaussian beam superposition method and derive error estimates…

An integrated energy approach is developed for transient problems in pipelines using the fixed-grid method of characteristics. The goal is to understand how discretization errors associated with common interpolation schemes arise and how these…

I make a number of observations concerning discretization errors in twisted-mass lattice QCD that can be deduced by applying chiral perturbation theory including lattice artifacts. (1) The line along which the PCAC quark mass vanishes in the twisted…

The peak of the polynomial Wigner-Ville distribution (PWVD) is a method for providing an unbiased estimate of the instantaneous frequency (IF) for polynomial phase signals. The theoretical lower variance bound, assuming a continuous frequency…

In this paper we investigate the relationship between parameter estimates obtained for a nonlinear discrete-time (DT) approximation of a continuous-time (CT) nonlinear model and the parameters corresponding to the CT model itself. Preliminary…

Straight line-segments in a two-dimensional image can be detected with the Hough transform by searching peaks in a parameter space. The influence on the Hough transform of the quantization of the parameter space, the quantization of the image and…

This paper examines the effects of aircraft modeling errors on the accuracy of trajectory predictions in air traffic control automation. Three-dimensional point-mass aircraft equations of motion are assumed to be able to generate actual aircraft…