hyperbolic error 中文意思是什麼
hyperbolic error
解釋
雙曲線誤差- hyperbolic : adj. 【數學】雙曲線的。adv. -ically adj. 誇張法的。
- error : n. 1. 錯誤；失錯。2. 謬見，誤想；誤信；誤解。3. 罪過。4. 【數學】誤差；【法律】誤審，違法；（棒球中的）錯打。adj. -less 無錯誤的，正確的。
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Conventional seismic data processing method uses hyperbolic equation to describe time - distance formula of reflection wave, error of this equation increases with the increase of heterogeneity, anisotropy and spread length
常規地震資料處理方法是利用雙曲線方程來描述反射波時距曲線規律，此方程隨著地層非均質性、各向異性和排列長度的增加，其誤差變大。 -
Based on this fomulation, expanded mixed finite element approximations of the hyperbolic problems are considered. optimal order error estimates for the scalar unknwon, its gradient and its flux in l2 - norms are obtained for this new mixed formulation
給出了逼近未知函數、未知函數梯度和流體流量的最優l ~ 2模誤差估計以及擬最優的最大模誤差估計。 -
In chapter three, we consider the finite volume element mstheods for nonlinear hyperbolic problems on the basic of the chapter three, optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are also demonstrated
在第二章的基礎上也得到了h ~ 1 ， l _ 2和w ~ （ 1 ， ）誤差估計以及l _最優誤差估計和近似解和真解的廣義橢圓投影間的超收斂估計。 -
In this paper, a class of the second order accurate explicit gauss schemes with staggered grids for the computation of solutions of hyperbolic conservation laws are presented, the advantages of these schemes are : riemann solver - free, faster and programming is much simple, no complete set of eigenvectors is needed and hence weakly hyperbolic system can be solved. in one dimensional case, these schemes are and total variation diminishing and convergence under the restriction of cfl condition, the convergence rate is the first order, and a pointwise error bound is presented
本文在交錯網格的情況下，利用gauss型求積公式構造了一類求解雙曲守恆律的時空一致二階顯式gauss型差分格式，這類gauss型差分格式，具有不需要求解riemann問題、計算簡單、工作量少、編程簡便等優美特點，而且由於這類格式在應用於求解方程組的時候，不需要對方程組進行特徵分解，因此可應用於求解非嚴格的雙曲守恆律方程組。 -
In this paper, we consider mixed finit element methods for the initial - boundary value problems of two order hyperbolic equations and linear integro - differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems. in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux
本文討論了二階雙曲方程和線性拋物型積分微分方程方程初邊值問題的混合有限元方法，得到了這兩類問題混合有限元離散格式的誤差估計。第一章討論二階雙曲初邊值問題的擴展混合元方法。該方法能同時逼近未知函數、未知函數的梯度和流體的流量，較好的模擬了帶有混合型邊界條件的二階雙曲問題。 -
A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived
摘要在各向異性條件下，討論了雙曲型方程的一類非協調有限元逼近，給出了半離散格式下的最優誤差佑計。 -
Error eestimates for mixed finite element methods for hyperbolic type integro - differential equation
雙曲型積分微分方程混合元法的誤差估計 -
Chapter 3 deals with the lumped mass finite element methods and error estimations for fourth order nonstationary elliptic equation. chapter 4 disscusses finite element methods and error estimations for linear and nonlinear the hyperbolic equations. chapter 5 presents the lumped mass finite element methods and error estimations for the nonstationary stokes problem
全文分六章，第一章緒論；第二章論述解拋物問題的質量集中非協調有限元方法及其誤差估計；第三章論述非穩態四階橢圓方程的有限元方法及其誤差估計；第四章論述線性與非線性雙曲型方程的有限元方法及其誤差估計；第五章論述stokes問題的質量集中有限元方法及其誤差估計；第六章論述管道bingham流的質量集中有限元方法及其誤差估計。 -
Its contents include results on the finite element method for the dynamics equations, the lumped mass finite element methods and error estimations for solving the parabolic problem, fourth order nonstationary elliptic equation, the nonstationary stokes problem and bingham fluid problem, the finite element methods and error estimations for solving linear and nonlinear the hyperbolic equations
內容包括關于求解工程力學方程有限元方法的最新結果。解拋物問題、非穩態四階橢圓方程、 stokes問題以及管道bingham流的質量集中有限元方法及其誤差估計，解線性與非線性雙曲型方程的有限元方法及其誤差估計。
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