linear partial differential equation 中文意思是什麼

linear partial differential equation 解釋
線性偏微分方程
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • partial : adj 1 一部分的，局部的，不完全的。2 不公平的；偏袒的。3 偏愛的，特別歡喜的 （to）。4 【植物；植物...
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. Laplace transformation, array, vector, determinate, linear equation set, fourier series, partial differential equations

    本課程介紹拉普拉斯轉換、矩陣、向量、行列式、線性方程組、傅立葉級數、偏微分方程式。
  2. By use of - perturbation method with spatial discretization, the hydraulic transient system controlled by quasilinear partial differential equation was converted to a time - continuous linear system, so that the inverse problem of hydraulic transients under limited pressure could be sol ed with the optimal control theory for time - continuous systems

    採用-攝動法並經過空間離散，將由擬線性偏微分方程式控制制的有壓瞬變流系統轉化為時間連續線性系統，從而使有壓瞬變流限壓控制反問題能應用時間連續系統最優控制理論來求解。
  3. The non - linear partial differential ( integral ) equation often needs to be solved in the computational hydraulics, however, the mathematical theory of its numerical method has yet not been sufficient at present, for example, the development of some theories such as the strict stability analysis, error estimate and convergence proof has been unable to keep pace with the development of the numerical simulation method

    計算水力學中所求解的是非線性偏微分（積分）方程組，其數值方法的現有數學理論尚不夠充分，嚴格的穩定性分析、誤差估計和收斂性證明等理論工作的發展還跟不上數值模擬方法的進展。
  4. With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained

    運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。
  5. Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows : 1. the optimization model of parameter identification of three - dimensional geologic history numerical simulation, algorithm and its application geologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil - bearing basin. according to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porosity ' s non - linear parabolic partial differential equation has been established

    本文應用現代最優化及最優控制理論，對如下一些問題進行了研究： 1 、三維地史數值模擬的參數辨識優化模型、演算法及應用地史模擬是盆地數值模擬的一個基礎性的研究內容，地層孔隙度是含油氣盆地地史演化發育過程中的重要參數，根據地層沉積埋藏機理和石油地質的物理化學原理，通過引入數學物理方程概念，建立了泥巖三維孔隙度場方程，根據問題的特點，給出了方程的定解條件，對方程的動邊界也給出了處理方法，並且證明了解的存在性與惟一性，在此基礎上建立了以當今實測數據為擬合準則的三維地史數值模擬的參數辨識優化模型，這是一個含有二階偏微分方程約束的泛函極值問題。
  6. Differential method for linear partial difference equation with constant coefficients

    常系數線性偏差分方程的微分解法
  7. Non - linear partial differential equation

    偏微分方程式
  8. In particular, its application to partial differential equation, which is concerned by more and more mathematicians, is a very active branch in mathematics research at present. for example, the calderon - zygmund operators of the third era and t ( 1 ), t ( b ) theorem offer the theoretic base of potential method to solve a class of elliptic boundary problems in non smooth domains [ 46 ] ; on the other hand, the lp - lq estimates and space - time estimates of the linear evolution equations offer the nonlinear evolution equations new work spaces, which is established by the estimates of oscillatory integral and potential

    例如第三代calderon - zygmund運算元及t （ 1 ） ， t （ b ）定理，對于非光滑區域上的一類橢圓邊值問題，提供了用位勢求解的理論基礎[ 46 ] ；又如以振蕩積分估計及位勢估計為基礎，建立線性發展方程的l ~ p - l ~ q估計以及相應的時空估計，為研究發展型方程提供了新的工作空間，這方面的工作參見t
分享友人
分享到 Line

分享到臉書