We give some examples where such an average case analysis seems to be more sensible than a worst case analysis.doi:10.1016/0885-064X(86)90003-8Novak, ErichAcademic Press, Inc.Journal of ComplexityNovak, E.: On average case errors in numerical analysis. (To appear in J. Complexity)...
Applicable AnalysisTakahasi H. and Mori M. (1971). Estimation of errors in the numerical quadrature of analytic functions. Appl. Anal. 1: 201–229 MATH MathSciNetTakahasi, H., Mori, M. (1971) Estimation of errors in the numerical quadrature of analytic functions. Appl. Anal. 1: pp. ...
Numerical AlgorithmsKehlet, B., Logg, A.: Code package for the paper A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations (2015). doi:10.5281/zenodo.16671Kehlet, B. & Logg, A. [2017] "A posteriori error analysis of round-off errors ...
In numerical analysis (absolute) errors can be identified with one-dimensional intervals symmetric with respect to zero. Addition, multiplication and inclusion of errors are well-defined (set-theoretically) in interval analysis. We study axiomatically the algebraic properties of such a system of ...
regularity/ B0290F Interpolation and function approximation (numerical analysis) C4130 Interpolation and function approximation (numerical analysis)We consider the sequence of errors ( E n ( f )) n of best uniform approximation to a function f∈ C [-1,?1] by algebraic polynomials. It is ...
Application, Theoretical or Mathematical, Experimental/ computerised numerical controlerror analysiserror compensationmachine toolsmachiningradial basis function networks/ workpiece errorsturningerror analysismachine tool errorgeometric errorA new method for workpiece error analysis and compensation in turning is ...
floating‐point representationfixed‐point representationA‐D convertersD‐A convertersround‐off operationIn the proposed method, the error can be evaluated for the general digital control system without specifying the object of analysis. The usefulness is demonstrated by a numerical example....
This article reports on an analysis of errors that were displayed by students who studied mathematics in Chemical Engineering in derivatives of mostly trigonometric functions. The poor performance of these students triggered this study. The researcher (l
Fatal error C1028missing IFC for analysis. Please rebuildmodule'ifc filename' with/analyze. Fatal error C1030WMMX types not allowed in the function signature by the calling convention Fatal error C1032__eabirequires VFP code generation (/QRfpe-) ...
Numerical analysis and experiments on an array of trapped ytterbium ions demonstrate that NMQA outperforms brute-force mapping by up to 20× (3×) in simulations (experiments), calculated as a reduction in the number of measurements required to map a spatially inhomogeneous magnetic field with a...