波動微分方程 的英文怎麼說
中文拼音 [bōdòngwéifēnfāngchéng]
波動微分方程
英文
wave differential equation- 波 : Ⅰ名詞1 (波浪) wave 2 [物理學] (振動傳播的過程) wave 3 (意外變化) an unexpected turn of even...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 波動 : 1 (不穩定) undulate; fluctuate; unsettle; surge; rise and fall 2 [物理學] wave (motion); wave...
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The explicit method of calculating surges in throttled, simple and downriver throttled and simple surge tanks has been derived for the first time by use of thaler series expansion from the basic formulation of surge tank. 2
根據調壓室的基本微分方程,利用泰勒級數展開方法首次推導出了阻抗式、簡單式、尾水阻抗式和簡單式調壓室水位波動的顯式計算公式。The theoretic calculating method of the maximum and the minimum water level in the differential surge tank has been derived firstly. also the explicit method of calculating surges in the differential surge tank has been deduced firstly by use of thaler series expansion. the calculating method of section of the well and the effective impedance hole in the surge tank has been gived
根據差動式調壓室的基本微分方程,首次推導出了差動式調壓室涌浪幅值的理論計算公式;並同樣利用泰勒級數展開方法推導出了差動式調壓室水位波動的顯式計算式;導出了差動式調壓室大井面積和有效阻抗孔面積的計算方法。Considering a financial market with risky stocks and riskless bond, we describe the stochastic model of stock prices with stochastic volatility
在考慮一個帶有股票和債券的金融市場后,本文提出了一個具隨機波動率的股票價格的隨機微分方程模型In the wave trough of the pressure curve, the pressure may be then if the rocket is accelerating or if it has assembling defects, the early explosion of the grenade on the ballistic may be caused
該模型的微分方程計算結果表明微小彈簧在彈道上的振動過程會使導電桿的受壓產生周期性變化,尤其是在一些波谷處,導電桿幾乎不受壓力,此時如果有火箭加速和其它裝配缺陷等因素的影響,就會引起彈丸在彈道上的早炸。By solving possion equation, the automotive generation of 3 - d body - fitted coordinates ( bfc ) grid system is completed with its density controlled by the distribulation functions p, q, r. 4. a detailed description of the solving mode
用微分方程法生成計算網格,採用泊松方程完成無堵塞泵的三維貼體網格的自動生成,通過構造波松方程源項p 、 q 、 r分佈函數控制網格的疏密度; 4In 6. 635, topics covered include : special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, green ' s functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, em waves in periodic structures : photonic crystals and negative refraction
本課程所覆蓋的論題包括:狹義相對論、運動媒質的電動力學、色散媒質中的波、微帶集成電路、量子光學、遙感、輻射傳輸理論、粗糙表面上的散射、有效介電系數、隨機媒質、平面層狀媒質的格林函數、電磁學中的積分方程、矩量法、時域矩量法、周期結構中的電磁波:光子晶體和負折射率。Time history analysis is carries on after the seismic waves being numbered according to period, input values of seismic wave to vibration equation of system, adopt the method of progressive integral to gain the whole course of the structure ' s state at the whole earthquake
時程分析是將地震波按時段進行數值化后,輸入結構體系的振動微分方程,採用逐步積分法得出結構在整個地震時域中振動狀態的全過程。Thirdly, the method to calculate the 3 - d dynamic responding of layered transversely isotropic saturated soils to an arbitrary buried source in cylindrical coordinate as well as to an arbitrary harmonious source in rectangular coordinate is presented respectively. based on biot ' s wave theory, the 3 - d wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing different equations with 1 - order by the fourier expanding with respect to azimuth and hankel integral transform method or by the double fourier transform method with respect to horizontal coordinates in rectangular coordinate. then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions
基於飽和土的biot波動理論,通過fouricr變換,將橫觀各向同性飽和土三維非軸對稱波動方程轉化為一組一階常微分方程組,再經har止el變換,建立問題的狀態方程,求解狀態方程得到傳遞矩陣;利用傳遞矩陣,結合飽和層狀地基的邊界條件、排水條件及層間接觸和連續條件,首次給出層狀橫觀各向同性飽和地基在任意地展力作用下的三維非軸對稱動力響應的解析解。In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation
本文分三章,第一章為引言;第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性,以及古典解的爆破;第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性,具體情況如下:在第二章中,我們研究一類非線性高階波動方程的如下初邊值問題:或或其中a _ 1 , a _ 2 , a _ 3 0為常數, ( s ) , ( s _ 0 , s _ 1 , s _ 2 , s _ 3 , s _ 4 , )為已知的非線性函數, u _ 0 ( x ) , u _ 1 , ( x )為已知的初始函數,為此,我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程,然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性,又用解的延拓法證明上述問題整體古典解的存在性和唯一性,主要結果有:定理1設u _ 0 ( x ) , u _ 1 ( x ) c ~ 4 [ 0 , 1 ]且滿足邊界條件( 2 ) ,若以下條件滿足:其中a , b月0為常數, wAt first, if the fluctuation of venture capital value accords with wiener processes, how to achieve appraisal with black - scholes is discussed. secondly, if it doesn " t, real options could be copied by the combination of twin - security and risk - free bond
首先,討論創業企業價值波動符合維納過程的情況下,如何利用black - scholes微分方程來實現對其進行估價;其次,若創業企業價值波動不符合維納過程,就通過符合維納過程的孿生證券股票和無風險債券的組合來復制實物期權。In this article, the author stimulates some complex sites using two - phase media motion differential equations, finite element lumped - mass method and multi - transmitting formula
本文利用兩相介質運動微分方程和集中質量有限元法,並結合透射邊界對幾種復雜場地對地震波傳播的影響進行了模擬。The water turbine regulation system is a complicate auto - controlling system, it ' s small fluctuation dynamic course means : when the water turbine regulation system is interfered by tiny disturbance of load or command signal, the change of different parameters in the system is less, we can thought they are subtle change near by the discussing conditions, so we can make each tache in the system linearization, that is, describe the dynamic specialty of each tache and the whole system by means of linear differential equation
水輪機調節系統是一個復雜的自動控制系統,其小波動過渡過程是指水輪機調節系統在受到微小的干擾(負荷或指令信號擾動)時,系統中各參數的變化都較小,可以認為是在所討論工況點附近作微小變化,則可將調節系統各環節加以線性化,用線性微分方程式來描述各環節及整個系統的動態特性。Underlying the assumption that the stock price accords with the model of the stock price fluctuating sources, by comprehensivily applying the stochasitic differential theory and no - arbitriagc thcory, this paper, under the conditions that the risk - free rate r is constant or ito stochasitic process, successively works out the option pricing about the stock price model with that the short - term profit function is piecewise lecture function arid that one with that the short - term profit function is possion jump process, derivats counterpart partial differential equation of option pricing. the outcome states : 1. when the short - term profit function is unusual flunctuating sources bring out a piecewise lecture function, this amendment on the lognormal distribution model does not improve the option price, because this partial differential equation of option pricing is the same one underlying the lognormal distribution model ( see equation 2. 14 )
本文基於股價符合波動源模型的假設,綜合運用隨機微分理論等數學原理和無套利理論等金融理論,依此對短期收益率函數為分段階梯函數和possion跳躍過程的股價波動源模型分別在無風險利率是常數和隨機過程的條件下作了期權定價,推導出了相應的期權定價偏微分方程,結果表明: 1 、由異常波動源帶來的短期收益率函數是分段階梯函數時,這種對股價對數正態分佈模型的修正不能改善期權價格,因為基於這種模型的期權定價偏微分方程與基於股價對數正態分佈模型的期權定價偏微分方程完全相同(見方程2 . 14 ) 。It is constructed that radial impact and rubbing dynamics differential equations of the rotor system having the nonlinear rigidity on the unsteady and non - linear oil film. the bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. the bifurcation diagrams, maximum lyapunov exponent diagrams, poincar maps, phase plane portraits, trajectories of journal center, time - history curve, amplitude spectra diagrams of the rotor motion are used
( 2 )建立了具有非線性剛度的轉子系統在非穩態非線性油膜力作用下的徑向碰摩動力學微分方程,並應用含高階余項的非線性動力方程的線性化數值法研究了此類系統響應的復雜動力學行為,利用轉子響應的分岔圖、最大lyapunov指數曲線、 poincar截面映射、時域波形、相軌線、軸心軌跡、幅值譜等圖形分析了系統響應的周期運動、擬周期運動、倍周期分岔、混沌等運動形式的轉化與演變過程,重點研究了非線性剛度、轉子轉速、偏心質量等系統參數對碰摩故障轉子系統的分岔和混沌行為的影響。Nonlinear dynamical systems ; nonlinear waves ; diffusion ; stability ; characteristics ; nonlinear steepening, breaking and shock formation ; conservation laws ; first - order partial differential equations ; finite differences ; numerical stability ; etc
非線性動力系統;非線性波;擴散過程;穩定性;特徵值及特徵曲線;非線性陡斜,阻斷和激波的形成;守恆定律;一階偏微分方程;有限差分;數值穩定性等等。4. after changing the short - term profit function to possion jump process, in the view of that the derivated partial differential equation of the option pricing which different from black - scholes partial differential equation still is that interest rate is constant ( 4. 2 ), the model which does not accord with the real market under the assumption. at last, we derivat a new model of option pricing whoso profit rate is possion jump process under stochastic interest rate ( 5. 13 ), this model not only changes the form of the short - term profit function of the stock price model and avaids the simplization of the profit rate function the unusual flunction sources bring about, but also relaxes the basis assumption of black - scholes option pricing model and makes that the partial differential equation builds the foundation which even approaches the actual market
4 、將短期收益率函數由確定函數修改為possion跳躍過程后,文[ 15 ]推導出的期權定價偏微分方程(見方程4 . 2 )雖然推廣了black - scholes期權定價偏微分方程,但此時依舊假設利率是常數,這與實際生活中的不符,我們研究了一個隨機利率下短期收益率函數是possion跳躍過程的期權定價模型(見5 . 13 ) ,該模型既改變了股票價格波動源模型中短期收益率函數的形式,避免了異常波動源帶來的收益率函數的簡單化。These have been developed by the numerical integration of the differential equations of gas motion for a spherical blast wave in air.
這些都是根據空中球形爆震波氣體運動的微分方程的數值積分得到的。The main numerical method of this code is coming from scheme ( jameson, schimit and turkel ) : using cell - centered finite volume method as spatial discretization tools, and a system of ordinary differential equations for time variable is obtained, which is solved by utilizing five - step runge - kutta scheme as time marching method, introducing artificial dissipation to damp high frequency oscillations near the shock and stagnation point
本論文採用歐拉方程作為控制方程,利用中心有限體積法進行空間離散,得到對時間變量的常微分方程組,採用龍格庫塔多步法進行時間積分,加入人工粘性以消除激波和駐點附近的壓力振蕩等方法來對naca0012翼型的實際流動進行并行數值模擬。The main result of this part is the following, by using the method of characteristic curves for solving linear partial differential equations, the whole classification of the integrals of motion of the reduced three - wave interaction system is obtained with the condition of some parameters. rigorous proof is given. this part consists of three sections
本部分的主要結論如下,應用解線性偏微分方程的特徵曲線法研究了約化的三波相互作用系統的運動積分,給出了在一定參數條件下系統所有的運動積分,並嚴格證明了這些結論。The load environment of bridges is a very important factor for bridge maintenance and condition assessments 。 many researchers have paid great attentions to the moving loads on the bridge. the bridge - vehicle system is modeled by two axles vehicle model and simple - supported beam ( include prestressing force or not ). using wavelet - galerkin method for solving equation of motions, a new moving force identification method is developed in this thesis based on finite element method
在基於車橋系統移動載荷識別的有限元法的基礎上,引入了微分方程求解的小波伽遼金法,將小波分析的方法應用於移動載荷識別當中,建立了一種基於有限元和小波伽遼金法的一種新的車橋系統移動載荷識別方法。分享友人