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The truncation error at each nodal point is given by

A Numerical Scheme for Singularly Perturbed Delay Differential Equations of Convection-Diffusion Type on an Adaptive Grid

Extract [??] = diag([[summation].sub.11], [[summation].sub.22], [[summation].sub.kk]) (first largest k singular values) with [[summation].sub.(k+1)(k+1)] - [[epsilon].sub.rec][[summation].sub.11] < [[summation].sub.kk], where [[epsilon].sub.rec] is a relative truncation error to control the content of recompression.

Fast Low-Frequency Surface Integral Equation Solver Based on Hierarchical Matrix Algorithm

There are little computational differences at higher frequencies, which may be due to the frequency-independent approximation of the impedance Zs or the larger operating wavelength, the larger truncation error.

Design of the Variable Inclination Continuous Transverse Stub Antenna Based on Rectangular Grating Slow-Wave Structure

where p is the order of the linear multistep method, O([h.sup.p+1]) is the local truncation error, and [C.sub.p] is defined as

Solving Volterra Integrodifferential Equations via Diagonally Implicit Multistep Block Method

where the truncation error [R.sub.i] and r are given by (3.2) and (3.5) respectively.

Numerical treatment of nonlocal boundary value problem with layer behaviour

Stability and local truncation error of the NSFD scheme are examined in Section 3.

An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation

[P.sub.ij] and [Q.sub.ij] are N x N matrices, O is the zero matrix, [bar.Y] = [(h[y'.sub.0], [y.sub.1], ..., [y.sub.N-1], h[y'.sub.1], ..., h[y'.sub.N]).sup.T], F = [(h[f'.sub.0]), [f.sub.1], ..., [f.sub.N-1], h[f'.sub.1], ..., h[f'.sub.N]).sup.T], C is a vector of constants, and L(h) is the truncation error vector of the formulas in (24) and 4.

A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems

The output signal of the LUT method was affected by the truncation error due to the limited data depth [11].

Digital Closed-Loop Driving Technique Using the PFD-Based CORDIC Algorithm for a Biaxial Resonant Microaccelerometer

In addition, the stage of updating the rotation vector has the truncation error for approximation.

A Real-Time Structure of Attitude Algorithm for High Dynamic Bodies

Similar to the proof of the Theorem 2, the truncation error of formula (40) is given by following theorem.

Two New Approximations for Variable-Order Fractional Derivatives

Bounds for truncation error in sampling expansions of finite energy band-limited signals.

On signal and image reconstruction from discrete data