In the paper, there are three important filter functions to be offered, the regularization constructed by the third filter is called spectral cutoff, and the regularization by the first filter is just Tikhonov regularization.
The Albrecht five-layer explicit difference scheme for solving four order rod vibration equation is reconstructed by introducing dissipative term. It is proved that the order of local truncation error is O(τ~2+h~2+(τh)~2),which is absolutely stability.
Two absolute stable and high accuracy semi-explicit difference schemes where r= qt/h3 for solving the initial boundary value problems of the dispersive equation ut = auxxx are constructed. Thc local truncation errors for these difference schemes arc O(t2+ h4+t2/h2)
An Estimation of the Truncation Error for the Two-Channel Sampling Formulas
The aim of the article is to obtain an estimation for the truncation error in the
This resulted from the truncation error between the numerical solution and exact solution of the Reynolds stress equations.
Truncation fragments of the α subunit were screened for interactions against these two substrate fragments.
Significant and escalating truncation of the redusome DNA causes cell aging due to an arising and increasing deficit of fRNAs and, for this reason, the lack of required ions near certain structural genes.
This includes the polynomiality of the invariant subalgebra of the symmetric algebra of a (truncated) parabolic subalgebra, the existence of a slice to the regular coadjoint orbits and the construction of maximal Poisson
Maximal Poisson Commutative subalgebras for truncated parabolic
Tight Frames of Polynomials and the Truncated Trigonometric Moment Problem
A simple parametrization is given for the set of positive measures with finite support on the circle group T that are solutions of the truncated trigonometric moment problem:
In the present work we study some weighted inequalities for T*, which is the supremum of the truncated operators associated with T.
Let Γ be a smooth compact convex planar curve with arc length dm and let dσ=ψ dm where ψ is a cutoff function.
The short-wave cutoff boundary of the capillary wave spectrum is established.
Thus, as the particle concentration increases, the central jump in compression [shock wave] moves in the direction of the nozzle cutoff, while the Mach number on the axis of the jet in front of the forward jump diminishes.
The results of an experimental study of a flow of rarefied gas of density ～10-5 g/cm3 beyond the cutoff of a hypersonic nozzle (M?11) by means of an electron beam with energy up to 43 keV are presented.
A study is made of the propagation of three-dimensional acoustic perturbations in a two-dimensional gas flow in axisymmetric channels of variable cross sectional area at frequencies near the cutoff frequency.
For the model to be computationally stable, the local truncation error of integration should be equal to 10-14 and the double precision of the Standard for Binary Floating-Point Arithmetic IEEE 754-1985 should be used.
Their local truncation errors are O(τ+h) and stability conditions are from |R|≤0.25 to |R|≤10, where |R|=|a|τ/h3, which, is much better than |R|≤0.25.
The stability condition and local truncation error for the scheme are τ >amp;lt; 1/2 andO(Δt2 + Δx4 + Δy4 + Δz4), respectively.
The form is an expression for the local truncation error for a certain class of difference schemes.
By this term we mean meshes on which the local truncation error of the method is approximately constant in some norm.