linear integral equation 中文意思是什麼

linear integral equation 解釋
線性積分方程
  • 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。
  • integral : adj 1 完全的；缺一不可的，主要的。2 【數學】整的，積分的。n 全體，整體；【數學】積分。 definite i...
  • 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. Pass the interlace series type linear differential equation that coefficient contains power function and arrangement number change into the linear differential equation of successive integral, have found out the theory and method that begs this kind of equation to know to untie. theorem have happened have given strict proof, and through example, have introduced it ' s application

    摘要通過把系數含有冪函數與排列數的交錯級數型線性微分方程化為可逐次積分的線性微分方程，找出了求這類方程通解的方法與理論，把所得定理給出了嚴格的證明，並通過實例介紹了它的應用。
  2. According to the computation process of the fem and assumption, associating of the fem mesh that have separated and the grouting stress diffusion equation, the integral stiffness matrix and the load matrix can be formatted, then the displacement of the nodal point can be got after solving the simultaneous linear equations. and then the grouting parameter can be computed and analyzed

    然後，依據有限元法的計算步驟和所作的假設，結合已經離散化了的網格、灌漿壓力擴散衰減公式，形成整體剛度矩陣、荷載矩陣，經求解后得到結點的位移，並依此計算分析灌漿參數。
  3. In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation. we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion. finally, we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families

    第四章我們主要研究了k -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化，給出了k -正則預解運算元族在0點的遍歷性，證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。
  4. Firstly, the integral - differential equation described the radiation field evolution is derived, and then the instability of its solution is also investigated analytically. by using the perturbation and iteration method, the threshold detuning and threshold linear growth rate of the unstable solution are analyzed and discussed in detail

    首先，建立了一個描述輻射場演化的積分一微分方程，解析分析了系統解的不穩定性，並採用線性方程解的微擾迭代方法進一步對系統不穩定解出現的失諧量閾值和線性增長率閾值等作了詳細討論。
  5. The new method of solving special integral of n order linear inhomogeneous differential equation with constant coefficients

    階常系數線性一般非齊次微分方程特解公式
  6. 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。
  7. Abstract : this paper discusses high order numerical model of non - linear boundary equation. by using integral technique, the boundary condition problem is turned into a form initial condition problem. we construct 4 order numerical formula. the convergence theory is given and proved. the examples show that our method has fast convergence speed and less numerical time

    文摘:討論非線性邊值問題的一種高精度計算模型.利用積分值將邊值問題轉化為形式初值問題，構造了一類四階精度的計算格式，證明了收斂性.通過算例表明該方法收斂速度高，計算量小
  8. A nonlinear numerical model for wave transformation is established in time domain based on integral equation transformed from two dimensional laplace equation. then the model is applied to compute the linear wave and nonlinear wave deformation in offshore flow field. a new 0 - 1 combined bem ( boundary element method ) is adopted in this thesis to avoid computational errors accumulated with time steps

    本文以波動勢函數的laplace方程的green積分轉換得到的邊界積分方程為基本控制方程，建立了一種新的時域內波浪變形計算的數值模型，籍此對非線性波浪在結構物周圍的波浪形態進行了數值模擬，並通過數值造波水槽內的波浪試驗對數值模擬結果進行檢驗。
  9. A solution of linear nonhomogenous differential equations has been found out on the basis of using the idea of parametric variation and an integral of the linear homogenous differential equation ' s parameter solutions

    摘要利用參數變動法的思想，通過已知滿足初始條件的齊線性方程（組）含參量特解，給出了非齊線性方程（組）特解的一般積分表示。
  10. The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points. for the expansion theorem of non - self - adjoint dirac operator, it is unable to use the method of integral equation. but under the linear boundary condition and unlocal boundary condition, the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method

    對于非自伴dirac運算元的特徵展開定理已無法應用積分方程的方法，本文仍用留數方法對一個兩點非自伴邊界條件和一個非局部邊界條件下產生的非自伴運算元的特徵展開問題進行了討論，分別得到了它們的特徵展開定理。
  11. According to the constitutive relationship in linear piezoceramics, elliptical crack problems in impermeable case are analyzed with hypersingular integral equation method

    摘要在線性壓電陶瓷本構關系和裂紋邊界絕緣的框架下，用超奇異積分方程的方法對橢圓類片狀裂紋問題進行了重新研究。
  12. Mean mass reactivity parameter was proposed to evaluate combustion reactivity of semi - coke. integral method and linear regress in section method were adopted to calculate reaction progression and activity energy respectively. according to kinetic parameters calculated above, an equation of combustion rate was established to forecast combustion process of semi - coke

    用積分法確定半焦燃燒反應級數，用分段線性回歸法求取不同實驗條件下的反應活化能和頻率因子，並根據求得的動力學參數確定半焦燃燒的反應速度方程，以此來預測半焦的燃燒過程。
  13. By means of an integral expression of non - linear dynamics equation an explicit precise integration algorithm with four order accuracy and self - correct and self - starting to solve this equation is given. this method is adapted to solve the non - conservative system with multi - dof and strong nonlinear. the non - linear dynamic equations are divided into some blocks or groups

    給出了求解非線性動力學方程的精細積分表達式，利用插值近似該方程的非線性項，得到一個具有四階精度並且是單步顯式、自起步、預測-校正的lagrange （或hermite ）插值精細積分演算法，適于強非線性、非保守系統。
  14. In this paper, the boundary problem of laplace equation is changed into the variational equation which is equivalent to the boundary integral equation. using linear element, it is solved by galerkin boundary element method

    本文把laplace方程的邊值問題轉化為邊界積分方程后，通過與邊界積分方程等價的變分形式，採用線性單元，利用galerkin邊界元方法求解。
  15. Special integral form of order 2 constant coefficient innomogeneous linear differential equation

    二階常系數非齊次線性微分方程特解形式
  16. The solution of a kind of second order linear differential equation with integral factor

    用待定系數法求兩類二階常系數非齊次線性微分方程的特解
  17. 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
  18. On solvablity of a certain classnon - linear singlar integral equation

    一類非線性奇異積分方程的可解性
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