第二近似值 的英文怎麼說
中文拼音 [dìèrjìnsìzhí]
第二近似值
英文
second approximation- 第 : Ⅰ助詞(用在整數的數詞前 表示次序) auxiliary word for ordinal numbers Ⅱ名詞1 [書面語] (科第) gr...
- 二 : Ⅰ數詞(一加一后所得) two Ⅱ形容詞(兩樣) different
- 近 : Ⅰ形容詞1 (空間或時間距離短) near; close 2 (接近) approaching; approximately; close to 3 (親...
- 第二 : 1. (序數) second 2. (姓氏) a surname
- 近似 : approximate; similar; approach; approximation; roughness; propinquity
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Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分:在一維情形,我們考慮了一類帶導數項的ginzburg ? landau方程,通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計,證明了當粘性系數趨于零時, ginzburg ? landau方程的解逼近相應的帶導數項的schr ( ? ) dinger方程的解,並給出了最優收斂速度估計;在二維情形,我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性,以及在某種特殊情形下, gl方程的解趨近於相應的帶導數項的schr ( ? ) dinger方程的弱解;在一般情形下,我們討論了一類ginzburg ? landau方程的非齊次邊值問題,通過幾個積分恆等式,同時估計解的h ~ 1模及法向導數在邊界上的模,證明了整體弱解的存在性。In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations
第二章,考慮一類一維非齊次bbm方程,在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性,給出了fourier譜近似解和精確解的長時間誤差估計;在第三、四節中討論了初邊值問題,利用與時間t無關的一致先驗估計,證明了整體光滑解和整體吸引子的存在性。In the section 2, firstly based on the diffusion approximation theory, the temporal characteristics of the reflectance and the transmittance were theoretically analyzed in turbid tissues ; secondly, the curves were simulated that the intensity and the pulse shape of the time resolved reflectance and transmittance versus the absorption a, the scattering s and the anisotropy coefficient g in two different boundary conditions : semi - infinite turbid media and homogeneous slab ; at last, the optical properties can be derived from the curves ; in the section 3, the conditions of ultra short laser pulses of different pulse - width and shapes has been theoretical analyzed and calculated, besides, the simulated the curves of the intensity and pulse shapes of the reflectance and transmittance in a homogeneous slab are obtained for use and future studying
第二章中首先根據漫射近似理論對超短脈沖在以生物組織為典型的混濁介質中傳輸進行了理論分析,然後對兩種邊界條件下產生的漫反射、漫透射光脈沖強度和形狀隨各光學特性參數的變化情況進行了數值模擬,最後得到了混濁介質的光學特性參數與漫反射、透射脈沖強度與形狀的關系曲線。第三章對不同形狀和脈寬的脈沖光源入射到混濁介質中產生的漫反射、漫透射脈沖的強度和形狀進行了理論分析和數值模擬,並將高斯脈沖與方波脈沖情況進行了對比,得到了各種情況的漫反射、漫透射脈沖強度、形狀與各光學特性參數的關系曲線,這對從分析脈沖形狀中提取介質的光學特性參數的信息有重要的意義。The method of multiple scales is used to determine the equations of modulation of amplitude and phase. the steady state response can be obtained by solving a couple of algebraic equations, which have been achieved by careful deduction under some conditions. and because of the complexity of the equations, programs are necessary to solve the equations mentioned above, and certain graphs are presented. based on chapter two, in chapter three, the method of multiple scales is introduced to the study of the multiple - dimensional nonlinear stochastic systems under random external excitation
在第二章基礎上,第三章將多尺度法引入到相應的隨機系統的研究中;嚴格推導了系統的約簡方程,用矩方法求出穩態解應滿足的方程,獲得一些結果;並且數值模擬結果與理論推導的結果是一致的;並注意到,與其對應的確定性系統相比較,系統響應從周期解變為近似周期解,系統的相軌線從極限環變為擴大的近似極限環;隨著激勵帶寬的增大,此擴大的近似極限環的寬度將增大。In chapter two, we consider the finite volume element methods for nonlinear parabolic problems optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are demonstrated. moreover superconvergence in the error between the approximate solution and the generalized elliptic projection of the exact solution is also shown
第二章考慮非線性拋物方程的初值問題的體積有限元法,並證明了h ~ 1 , l _ 2和w ~ ( 1 , )誤差估計以及l _最優誤差估計,而且還得到了近似解和真解的廣義橢圓投影間的超收斂估計。In the second part, we investigate the frequency analysis problem. the freque - ncy analysis problem is to determine the unknown frequency wj when values of x ( m ) ( observations ) are known
在第二章里討論頻率分析問題。頻率分析問題研究的是通過一組已知的離散時間信號值x ( m )來決定未知頻率_ j的近似值。The second aspect : from qgp kinetic equations with collision integrals, by using the relaxation time approximation, we calculate the distribution functions to the second order correction. we obtain the distribution functions for quarks ( and anti - quarks ) and gluons under perturbation of the fluctuation of the color field. then in the high - temperature - low - density area, we discuss the characteristics of the distribution functions, and use t hem to get the net baryon density and the energy density
第二,從有碰撞項的qgp動力論方程出發,忽略自旋,在色漲落擾動下,利用弛豫時間近似,得到夸克和膠子分佈函數的二級修正,通過數值分析重點討論了高溫低密情況下qgp中成分粒子分佈函數的特性,並且由分佈函數得到凈重子數密度和能量密度。Numerical result shows that the new method is more efficient in convergence than the standard lanczos algorithm ; the second algorithm generalizes the implicitly restarted arnoldi ( ira ) augmented by soreesen to the implicitly restarted lanczos algorithm, which improves the convergence rate of lanczos algorithm by making good use of the spectral information obtained from the previous process. the last algorithm utilizes deflation strategies to the second algorithm to forming invariant subspace for a, so that the stability can be kept in computing process
數值試驗表明,該演算法比標準lanczos方法具有更好的收斂性;第二種演算法是將求解特徵值問題的隱式循環arnoldi方法( ira )應用於求解對稱不定線性方程組的lanczos演算法,充分利用lanczos演算法過程中的譜信息,確定預處理;第三種演算法是在第二種演算法的基礎上,運用收縮技巧,形成近似不變子空間,以提高收斂速度和數值穩定性。For light particles, 1 when observed within the whole water depth. the relationship between theoretical and measured values of the suspension falls to the second approximation to the solution of the diffusion theory
輕質顆粒在整個水深內有pzi ,懸浮指標實測值和理論值之間的關系符合擴散理論的第二近似解。In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given
第二章證明了該系統的整體吸引子的存在性,給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形,證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子,證明了它在長時間后無限趨于方程的整體吸引子,並給出了漸近吸引子的維數估計The numerical simulations are consisted of two parts : the first is to simulate the friction reduction by microbubbles on a flat plate ; the second is to simulate initially the friction reduction on the approximated ship model with the flat bottom
本文對微氣泡減小表面摩擦阻力的現象進行了數值計算。數值模擬分成兩個部分:第一部分是平板微氣泡減阻的數值模擬;第二部分是平底近似船模數值模擬的初探。Currently, the calculating theories of concrete - beam temperature fields can be divided summarily into three types : category 1 is the method of how the hot conduct in the square distance ; category 2 is the proximate - number analytical method, such as finite difference method, finite element method etc. ; category 3 is a half experience and half theoretic method
目前混凝土箱梁溫度場的計算理論和方法概括起來,大致可以分為三類:第一類為熱傳導方程求解法;第二類為近似數值分析方法,如有限差分法、有限元法等;第三類為半經驗半理論法。分享友人