The bound gives useful information about the error magnitude in applications where system blocks are implemented using fast Fourier transform techniques, specially in robust control systems. 展开 关键词: FIR filters IIR filters discrete Fourier transforms discrete time systems interpolation piecewise linear ...
These algorithms approximate a given waveform by a piecewise-linear function with a preset upper bound on the absolute error between the functional values of the original function and the approximation. A test of the balance of error along the segment is incorporated in some of the algorithms in...
In the present paper, the asymptotic error expansion of this method for nonlinear Volterra integral equations at mesh points is obtained. We show that when piecewise polynomials of Θinp-1 are used, the approximate solution admits an error expansion in powers of stepsize h, beginning with a ...
Specifically, characterized by piecewise polynomial spaces of degree 𝑚m, the conventional Galerkin FEM for the first-order IVPs [13,17] can generate a one-step and A-stable method with 𝑂(ℎ𝑚+1)O(hm+1) accuracy within elements, and 𝑂(ℎ2𝑚)O(h2m) accuracy at mesh points ...
(iii) Hermitian (Oscullatory) Interpolation . . . 61(C) APPROXIMATION BY ORTHOGONAL FUNCTIONS . . . 62(D) LEAST SQUARES REVISITED . . . 648. PIECEWISE POLYNOMIALS AND SPLINES . . . 66(A) CUBIC B SPLINE . . . 67(B) SMOOTHING . . . 69...
This paper presents an a posteriori error analysis for the stationary Stokes鈥揇arcy coupled problem approximated by finite element methods on anisotropic meshes in or 3. Korn's inequality for piecewise linear vector fields on anisotropic meshes is established and is applied to non-conforming finite ...
MutatorMath is a Python library for the calculation of piecewise linear interpolations in n-dimensions with any number of masters. It was developed for interpolating data related to fonts, but if can handle any arithmetic object. The objects/ subpackage contains the general calculation tools. The...
3.A new Simpson inequality with best estimation of error was given under the condition that the integrand has piecewise continuous third derivative.在被积函数具有分段连续三阶导数的条件下给出一个新的Simpson不等式,其误差估计是最佳的。 延伸阅读 水文估计量的抽样误差 水文随机变量的分布函数中的参数(或...
Nucleation of Super-Critical Carbon Dioxide in a Venturi Nozzle Developed FIT libraries based on a piecewise biquintic spline interpolation of Helmholtz energy have been integrated with OpenFOAM to model S-CO$_{2}$ properties. The mass fraction of vapor created in the venturi has been calculated...
1) Material with defined Density, Young's modulus, Poisson's ratio, and Initial Yield Stress 2) Hardening function is a user-defined interpolation using Piecewise cubic interpolation and constant extrapolation. Argument units are set to "1" and the Function is set to "Pa". This defin...