Approximation solution of characteristic equation of guide wave in a semicircle tunnel 半圓形隧道中導行波特征方程的近似求解
The new algorithm can get an approximation solution for the scheduling quickly 這個算法可以快速地得到這種延誤問題的近似解。
In addition , in the solution set of corresponding equation , the expression of the optimal approximation solution to given matrix is derived 另外,導出了在矩陣方程的解集合中與給定矩陣的最佳逼近解的表達式。
The formulas of general solution have been given , as well as the formulas of optimal approximation solution and numerical algorithms 我們給出了他們的通解的表達式,同時還給出了在譜約束下的最佳逼近解的表達式及數值計算方法。
The singly scattered radiant intensity is computed analytically without approximation , preserving more of the angular dependence in the radiance than other approximation solutions 單次散射是可以精確求解的,沒有作任何近似,這就使得與其他近似算法相比,該算法包含有更多的角度信息。
The necessary and sufficient condition for centrosymmetric solution of matrix equation was presented and general solutions were obtained . the optimal approximation solution to a given matrix was provided in the solution set 先討論一類矩陣方程存在中心對稱解的充分必要條件,給出解的一般表達式,并在解集合中給出了與給定矩陣的最佳逼近解。
By the polygonal approximation method , a global approximation solution is constructed for the initial - boundary value problem of nonconvex scalar conservation laws with two - side boundary effect , and its convergence to the global weak entropy solution of the corresponding problem is proved 摘要使用折線逼近法,對具有兩條邊界影響的非凸單個守恒律初邊值問題構造了整體近似解,并證明其收斂到初邊值問題的整體弱熵解。
At last , on several linear manifolds , the conditions for the existence of and the general expressions of the symmetric , skew - symmetric and symmetric semi - definite solution of the linear matrix equation f3 ( x ) = 0 are discussed . and the related optimal approximation solutions are obtained 最后討論了六類線性流形土矩陣方程兒( x ) = o分別具有對稱解,反對稱解和對稱半正定解的條件,得到了方程和l一s問題解的通式,同時解決了解的最逼近問題
This ph . d . thesis - firstly considers the real asymmetric , real symmetric , bisym - metric , and symmetric and skew antisymmetric matrix extension problems constrained by the matrix inverse problem ax = b . and also considers , in the solution set , of the corresponding matrix extension problems , the optimal approximation solution to a given matrix a * . the necessary and sufficient conditions for the existence of and the expressions for the above problems are derived , and the numerical algorithm and examples to solve the problems are also given 首次提出并討論了矩陣反問題ax = b約束下實矩陣、實對稱矩陣、雙對稱矩陣和對稱次反對稱矩陣的擴充問題,討論了在其解集合中與給定矩陣a ~ *的最佳逼近問題,得到了問題的解存在的條件及通式的表示,給出求解問題的數值算法和數值例子。
Applying variational method we analyze the existence and uniqueness for the solution of the corresponding boundary variational equation , truncated mrm boundary variational equation , and approximation truncated mrm boundary variational equation in detailed . we obtain the error estimation for various approximation solutions and construct the boundary integral method with constraint . we explain the principle for choosing the mesh size and the truncated number in mrm . finally the numerical examples show that the theoretical analysis is accord with the numerical experiment result 采用變分方法系統分析了相應問題的邊界變分方程,截斷的mrm邊界變分方程與近似截斷mrm邊界變分方程解的存在唯一性,解釋了網格寬度與mrm方法中截斷數的選取原則,討論了mrm方法中的迭代誤差估計,給出了數值算例。