漸近解法 的英文怎麼說
中文拼音 [jiānjìnjiěfǎ]
漸近解法
英文
solution by successive approximation- 漸 : 漸副詞(逐步; 漸漸) gradually; by degrees
- 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...
- 解 : 解動詞(解送) send under guard
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 漸近 : [數學] [物理學] asymptotic; approximation漸近操作(法) evolutionary operation; 漸近點 asymptotic...
- 解法 : method of solving; solving process; [數學] solution
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By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well
研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下,利用漸近分析方法和對角化技巧,證得解的存在性並給出解的漸近展開式及其餘項估計Asymptotic method for solving resonance solutions of strongly nonlinear systems
求強非線性系統共振解的漸近法Asymptotic expansion solution
漸近級數解法In conclusion, the rationality and effectiveness of the constitutive model applied in the paper are verified through theoretical analyses and corresponding numerical calculations to provide a feasible method for final solutions of the problems of the asymptotic crack - tip field, as well as. theoretical references for solutions of the difficult problems encountered in engineering practices
總之,通過理論分析和相應的數值計算,驗證了本模型的合理性和有效性,為最終解決裂紋尖端漸近場問題提供一種可行的方法,並且對于解決工程實踐中所遇到的難題提供理論上的參考依據。The stability for difference equation is maily considered in chapter 3, where, in section 1, a new method, called " semicycle analysis method ", is introduced to investigate global asymptotic stability of rational difference equations, and which is different from the existing ways, originates from the authors " trying to solve a conjecture presented in " journal of difference equations and applications " with respect to the global asymptotic stability of a detailed rational difference equation, and which can be used to solve the global asymptotic stability of a kind of rational difference equations which are very difficult to be solved in the methods in the kno, n literature
第三章我們主要研究了差分方程的穩定性。在第一節中介紹了一種新的方法,稱之謂「半環分析法」 ,研究有理型差分方程的全局漸近穩定性;這種方法有別于已知方法,產生於作者試圖解決國際期刊《 journalofdifferenceequationsandapplications 》上提的關於一個具體的有理型差分方程的全局漸近穩定性的猜想時;這種方法可以應用來解決一類有理型差分方程的全局漸近穩定性,且所考慮的問題很難用已有文獻中的方法解決。The expression can be used in calculation for relationships of the input voltage, output voltage and device geometry parameter
用漸近解的分析方法對所求到的解進行簡化,導出了硅橫向壓阻效應四端壓力傳感器的輸出電壓表達式。It is a method of spiral, gradual, independence and synchronization. by the vf - sdm, visual simulation system is decomposed and assorts with object model, simulation model, visual federation model, move controlling model, and display synchronization model. the author designed a grammar of visual federation context and a turing conversion mechanism, and concept composes of graph language
Vf - sdm是一種「螺旋、漸近、獨立、同步」開發方法,這種方法實現了視景模擬系統對象模型、模擬模型、視景聯邦模型、運動體控制模型、視景顯示同步模型分解與協調。Using an l2 energy method proves that the solutions of the general initial - boundary problem to this relaxation model converges time - asymptotically to a stationary wave or a rarefaction wave or superposition of these two kinds wave for small perturbation
對此鬆弛模型,用l ~ 2 ?能量方法證明了在小擾動的情形下,相應的一般初邊值問題的解漸近收斂到一個穩定波或一個稀疏波或這兩種非線性波的疊加。Firstly, the equilibrium solution is global asymptotic stability and exponential stability on l2 [ 0, l ] under neumann and dirichlet boundary control conditions, control inputs for choosing the boundary control is bounded in lx, the equilibrium solutions decay to zero and integrating the solution square in [ 0, 1 ], it decays to zero exponentially, by using nonlinear boundary control conditions and input feedback control method
首先,採用非線性邊界條件輸入反饋控制方法,研究得到該類方程在neumann和dirichlet邊界控制條件下的平衡解在l _ 2 [ 0 , 1 ]上是全局漸近穩定和指數穩定的、在所選邊界控制下控制輸入是l _有界的、平衡解隨時間衰減到零以及平衡解的平方在[ 0 , 1 ]上的積分按指數方式衰減到零。This paper studies the corner layer behavior in quasi linear systems with turning points. under the appropriate conditions and by usin g the theory of differential inequality, the existence of the solution and its c omponentwise uniformly valid asymptotic estimation are obtained when the reduced solution does not have a continuous first - derivative in some point of ( 0, 1 )
奇攝動轉向點問題是來自量子力學及其他物理力學中的重要問題,特別對非線性系統的轉向點問題,已有的結果甚少,文章研究一類具有轉向點的擬線性系統的角層現象,在適當的假設條件下,利用微分不等式方法證明了當其退化解在( 0 , 1 )內某些點上一階導數不連續時解的存在性,並得到了解的按分量的一致有效的漸近估計。By using the so called renormalization group method, we give a uniformly valid asymptotic expansions of the boundary value problems under consideration
利用重正化群方法,構造了該邊值問題解的一致有效漸近展開式。Using the matching asymptotic expanding method, the solutions for a class of nonliear singularly perturbed problems are discussed. zero order asymptotic expansions of solution for boundary value problem are obtain
摘要利用匹配漸近展開法,討論了一類非線性奇攝動問題的解,得出了奇攝動邊值問題的零次漸近展開式。Application of recursion tree in solving the asymptotic order of recursion equation by using iteration operation
遞歸樹在用迭代法解遞歸方程漸近階中的應用A new robust adaptive scheme which are used for tracking of this robot with parametric and bounded external uncertainties is proposed in this thesis. the controller is consist of a controller which is proposed by slotine1 ' 1 and nonlinear continued feedback compensation part. by estimating the unknown physical parameters of robot on - line, it can eliminate the effects result by parameters and external disturbances and guarantee gas and uniform boundedness of parametric estimation. the only information required in setting up the strategy is the output states of jionts, while the inversion of the inertia matrix or estimation the bound of the inertia matrix and measure the jionts accelerations are not needed. it is shown by simulations that the proposed control scheme has quicker convergence velocity and better control precision than paper [ 1 ] and control schemes at present
針對該模型具有參數及有界外部擾動不確定性時提出了一種新的魯棒自適應控制策略,控制器由基於slotine的控制器和非線性連續反饋補償控制器構成。通過在線估計機器人的未知物理參數,有效的消除了由參數及外部擾動所引起的不確定性影響,保證系統達到漸近穩定和參數估計一致有界。與現存的許多控制方法相比,該控制策略不需求解慣性矩陣的逆或估計慣性矩陣的界,不需測量關節加速度,而唯一需要了解的只是系統輸出的位置及速度狀態。In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞運動的lagrange穩定性的討論中,給出了漸近線性方程碰撞解有界或無界的條件,在充分大的圓盤外,通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代,應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明,碰撞解無界性的證明將採用直接估計后繼映射的方法給出。Especially, when the isocline of x is monotone decreasing in 0 < x < 1, the svstem has no limit cycle and is globally stable ; next, we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections, where our work are based on the theory of central manifolds and normal torms. we prove that is a codimention 3 focus - type equilibrium. system ( 6. 1 ) will have two limit cycles at some appropriate bifurcation parameter values, and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last, we study the qualitative properties of the system at infinite in the poincare sphere
因為系統在( 0 , 0 )點處沒有定義,這給研究其在( 0 , 0 )附近的動力學性質帶來了困難,我們應用文獻[ 17 ]中關于研究非線性方程奇點的系列理論和方法,圓滿解決了這一問題,給出了第一象限內當t +或t -時,在全參數狀態下系統的軌線趨于( 0 , 0 )點的所有可能情況,其相圖也得以描繪;並且,系統不存在極限環的幾個充分條件我們也予以列出,當x的等傾線在0 x 1范圍內遞減時,系統不存在極限環,全局漸近穩定;然後,我們以中心流形定理和正規型方法為主要工具,巧妙選擇參數,分別構造了一個余維2的鞍點分岔和一個余維3退化bogdanov - takens分岔,證明了平衡點是余維3的焦點型平衡點,存在參數, m ,的值使得系統( 6 . 1 )有兩個極限環,還存在參數, m ,的另外值使得系統( 6 . 1 )有同宿軌或雙同宿軌。In chapter 3 we construct two approximation algorithms which applying bin packing algorithms for scheduling problems, one is ff ( first fit ) algorithm used in parallel machine scheduling problem pm / / dj = d / n which has a lower bound of asymptotic worst - case performance ratio, another problem is scheduling independent parallel tasks in parallel identical machine systems to minimize the makespan, we use strip packing method for it and give an approximation algorithm with asymptotic performance ratio no more than 1. 6
第一個演算法利用裝箱問題中的ff ( firstfit )演算法求解極大化按期完工工件數的平行機排序問題pm d _ j = d n - u _ j ,該近似演算法具有漸近性能比下界。第二個近似演算法利用二維裝箱中strippacking問題的演算法求解以極小化makespan為目標的帶并行工件的平行機排序問題,該演算法的漸近性能比具有下界1 . 5和上界1 . 6 。Based on the asymptotic properties for numerical integral formulas, this paper obtains a class of finite difference methods for solving initial value problems of odinary differential equations, and studies the consistency and stability of new methods
摘要基於數值積分公式中間點的漸近性質,獲得了一類求解常微分方程初值問題有限差分方法,研究了新方法的相容性和穩定性。In this paper, the stability of the trivial solution is studied for a class of third order nonlinear non - autonomous ordinary differential equations by means of differential matrix, and the sufficient conditions of the global asymptotic stability of the trivial solution are obtained for a class of third order nonlinear autonomous system
摘要用微分矩法研究了一類三階非線性常微分方程零解的穩定性,並獲得了一類三階非線性駐定系統零解全局漸近穩定的充分條件。In this paper, an asymptotic method have been studied to solve the nonlinear partial difference. the content of nonlinear theory has been enriched. some methods, which are used to solve strongly nonlinear equation, have been expanded
本文主要是對求非線性偏微分方程的漸近解進行研究,進一步豐富了非線性理論的內容,拓寬了求解強非線性問題的一些方法的應用范圍。分享友人