numerical methods 中文意思是什麼
numerical methods
解釋
計算方法-
There are certain difficulties in studying the failure process of frangible materials such as concrete, rock, etc which are caused by dynamic loads such as collision, earthquake, exploding, etc by those current exited numerical methods like finite element method etc. so in order to solve such a problem we should introduce certain new numerical analysis method
現存的一些數值方法如有限元法等在研究混凝土、巖石等脆性材料在沖擊、爆破、地震等動荷載作用下的破壞過程問題中存在著一定的困難。因此，對於此類問題需要新的數值分析方法。 -
We can work out positions of a harmonic oscillator by numerical methods.
我們可以按數值方法計算簡諧振子的位置。 -
It is generally impossible to obtain the analytic optimal guidance law for complex nonlinear guidance systems of homing missiles, and the open loop optimal guidance law is often obtained by numerical methods, which can not be used directly in practice. the neural networks are trained off - line using the optimal trajectory of the missile produced by the numerical open loop optimal guidance law, and then, the converged neural networks are used on - line as the feedback optimal guidance law in real - time. the research shows that different selections of the neural networks inputs, such as the system state variables or the rate of los ( line of sight ), may have great effect on the performances of the guidance systems for homing missiles. the robustness for several guidance laws is investigated by simulations, and the modular neural networks architectures are used to increase the approximating and generalizing abilities in the large state space. some useful conclusions are obtained by simulation results
對于復雜的非線性導彈制導系統，很難求得其解析的最優制導律，只能求得開環的數字解，不能適用於具有時變不確定性的導彈制導系統.利用神經網路的學習和推廣能力，對開環的數字最優制導律進行離線的學習，作為閉環的神經最優制導律在線應用.研究分別選擇系統狀態變量和視線角速率等不同的神經網路輸入對制導系統性能的影響，以及各種制導律的魯棒性問題，並採用模塊化神經網路結構提高神經網路的學習和推廣能力，模擬結果得到一些有益的結論 -
The asteroids are the most important small bodies in the solarsystem, and they mainly lies in the two locations - a main belt between the mars ' s orbit and the jupiter ' s and the near - earth space. the most feature of the orbits of near - earth asteroids ( neas ) is that the semi - major axes of the orbits are nearly equal to that of the earth or the perihelia distances are approximate to or even less than the mean distance between the sun and the earth, thus they could move into inside of the earth ' s orbit, so that they might close approach or even colliside with the earth ( or other planets, such as the venus, the mars, etc. ). the characteristic brings about some difficulties in the numerical research during their orbital evolution, which leads to the failure of the normalization technique in the general removal impact singularities of celestial mechanics methods and the symplectic algorithm which is successfully applied to the investigation in quality. by comparing the computation effects of several common numerical methods ( including symplectic algorithm ), and considering the nature of the movement of the small bodies, the corresponding treatments are provided here to improve the reliability of the computation
小行星是太陽系最重要的一類小天體，主要分佈在兩個區域；火星和木星軌道之間的一條主帶和近地空間.近地小行星軌道的最大特點是其軌道半長徑與地球軌道半長徑相近，或近日距離接近甚至小於日地平均距離，其運動可深入到地球軌道的內部，這將導致該類小行星與地球（還有金星、火星等）十分靠近甚至發生碰撞.這一特徵給其軌道演化數值研究帶來一些困難，包括天體力學方法中一般消除碰撞奇點的正規化處理以及對定性研究十分成功的辛演算法都將在不同程度上失效.通過對幾種常用數值方法（包括辛演算法）計算效果的比較，根據小天體運動自身的特性，給出了相應處理措施，從而可提高計算結果的可靠性 -
It is just the difficulty that the strongly correlated electron systems can not be studied by analytical methods, a variety of simulative numerical methods come out sequentially. there are a few typical methods such as the exact diagonalization ( ed ), the qutum monte carlo ( qmc ), the variation monte carlo ( qmc ), the renormalization group ( rg ), and the density matrix renormalization group ( dmrg ) and so on
正是強關聯系統遇到了解析研究的困難，各種數值模擬方法才相繼出現，最典型的數值方法有：嚴格對角化（ ed ） ，量子蒙特卡洛（ qmc ）模擬、變分蒙特卡洛模擬（ vmc ） 、數值重整化群（ rg ）以及密度矩陣重整化群（ dmrg ）等。 -
Compared with traditional numerical methods such as the fem, fdm, etc, the lb method has several important features, including : simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has much advantage in the respect of parallel computation because of its regional evolution
與傳統的計算方法如fem 、 fdm等相比， lb方法具有演算法簡單、編程容易、壓力可以通過狀態方程直接求解、能夠模擬各種復雜邊界的流場等優點，並且計算的局域性使其在并行計算方面也具有很大的優勢。 -
The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward
主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。 -
2. the fem software plaxis is introduced and its theories and numerical methods are given. the standard drained triaxial test and the oedometer test are subjected to simulations of various laboratory tests in order to validate the reliability with measured test data
引入了plaxis程序，對plaxis程序的特點、計算分析原理進行了概述，對土體的三軸試驗和側限固結試驗進行了模擬，計算結果較好的反應了土體的基本特性，並與試驗結果符合良好。 -
Since the linear or nonlinear electromagnetic field equations can be written as an infinite - dimensional hamiltonian system, whose solution can be viewed as a hamiltonian flow in the phase space which preserves the symplectic structure in the time direction. such important features should not be neglected during the construction of numerical methods for the field equations
由於線性或非線性的電磁場方程可以轉化成無限維的hamilton系統，其結果可以看作是定義在相空間里的時間上保持辛結構的hamilton流，因而在對場方程構造數值演算法時就不應忽略這樣重要的性質。 -
Based on the comprehensive reviews about the developments in the field of flushing time of the estuary. two numerical methods about water exchange are discussed in the part
其次回顧了近年來河口海灣水體交換研究的最新進展，著重對河口水體交換的兩種數值方法進行了對比。 -
Although numerical methods have frequently been used in the study of frc, theoretical analyses of such test methods as pull out tests and single fiber fragmentation tests, seemingly simple, remain to be challenging problems. problems arise when other factors are considered in connection with the various numerical models. these factors include nonlinearities in the properties and / or geometries of the materials, influences of such environmental conditions as temperature ( which is also to be studied in the present work )
本論文正是針對以往研究中的不足，在對纖維增強復合材料破壞問題進行數值模擬的研究中，綜合考慮了纖維和基體材料的非線性效應、纖維和基體材料受外載發生大變形時的幾何非線性，以及纖維基體之間界面脫粘時接觸單元的非線性效應。 -
On the numerical methods for the discrete - velocity kinetic equations i. semi - implicit difference scheme
離散速度動力學方程組的數值方法研究半隱式差分格式 -
Based on the theory of valve stroking, the mathematical models and their numerical methods of valve stroking in specified time with pressure constraint are proposed for the hydraulic pipe - turbine system in pumped storage plants, the models and their solving methods are also proposed for the complex hydraulic pipe - turbine systems with the practical programmes under the conditions of hydraulic transients
摘要對于整體可控的水力機組系統，在過渡過程計算中可直接應用閥調節原理，本文提出了不帶調壓室的簡單管道及分叉管道系統限時閥調節和限壓閥調節數學模型及其求解方法，並對此進行算例分析。 -
Solution of nonlinear wave loads in regular oblique seas. based on strip method, thinking about nonlinear factors such as no straight shipboard on waterline, the instantaneous variation of wet surface shape and slamming effect of ship bottom, the numerical methods of nonlinear fluid force in large amplitude oblique regular seas are discussed
關于斜浪規則波中非線性波浪載荷的計算:本文基於切片理論，考慮到船體非直舷、水下剖面形狀的瞬時變化以及砰擊等非線性因素，討論了大波幅斜浪規則波中非線性流體力的時域計算方法。 -
In the numerical methods section, a finite element / control volume mold filling simulation, a tensor representation of fibre orientation and a finite element solution of the transient fibre orientation equations are combined in the program. the input data and output results are visualized by means of finite element software
程序中用有限單元控制體方法模擬模壓流動，用表徵纖維取向的張量和有限元伽遼金方法來解決瞬時纖維取向方程，用計算機圖形原理編程實現對smc流動軌跡、纖維取向分佈的計算機模擬。 -
In chapter 3, the numerical methods of hcppc are discussed. four models of fixed grid technique are surveyed. they are total enthalpy method, apparent heat capacity method, effective heat capacity method and the fictitious heat flow method
首先回顧了常用的數值分析方法，接著重點介紹了固定網格技術中的幾個數值模型，包括焓法模型、顯熱容法模型、等效熱容法模型和擬源項法模型。 -
The analytical methods about foundation - structure interaction have two main categories. they are analytic methods and numerical methods. at present, finite element method, sub - structural analysis method and mixture method are common methods
地基與結構的相互作用的分析方法有解析法和數值解法，目前常用的方法是有限元法和子結構法以及雜交法。 -
The numerical results show that the wave pattern and the wave - making resistance coefficient from present paper are agree with experimental data and other numerical methods
計算結果表明，其波型及興波阻力系數與試驗結果和其他數值方法相比均吻合較好。 -
Comparison of numerical methods for performances of journal bearing lubricated with couple stress fluids
應力偶流體潤滑軸承性能計算方法的比較 -
According to different water phenomena, we use two different method to produce waves source : the first method is by specifying the boundary conditions and initialization conditions, this method simulate the dam breaking, reflection and diffraction of water waves ; the second method is by specifying disturbance model, this method simulate water droplets, waterfall, waves of ship ; in the first part of this thesis, we discuss the prevalent methods of the simulation of water scenes, in the second part of this thesis, we describe the numerical methods of solving the shallow water equations using the finite difference method and the finite volume method respectively, in the third part of this thesis, we simulate some realistically liquid phenomena such as rain droplets, the waves of ship, dam breaking etc
產生水波首先要有波源，設置不同的波源便可以得到不同的水流情形，我們用兩種方法來產生波源：一種是通過設置邊界條件和初始條件產生，這種方法用於模擬潰壩波的反射、折射等現象；另一種是通過擾動控制產生，這種方法用於模擬雨滴、瀑布、船波等自然現象。本論文的第一部分我們討論了目前水動畫模擬常用的幾種方法；在第二部分討論了我們所使用的兩類數值方法：有限差分方法和有限體積方法；在第三部分我們模擬了雨滴、船波、潰壩波等一些水流現象。
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