Approximation solution of characteristic equation of guide wave in a semicircle tunnel 半圓形隧道中導(dǎo)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(gè)算法可以快速地得到這種延誤問(wèn)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(dǎo)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(dá)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(dá)式,同時(shí)還給出了在譜約束下的最佳逼近解的表達(dá)式及數(shù)值計(jì)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(méi)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(lèi)矩陣方程存在中心對(duì)稱(chēng)解的充分必要條件,給出解的一般表達(dá)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(xiàn)逼近法,對(duì)具有兩條邊界影響的非凸單個(gè)守恒律初邊值問(wèn)題構(gòu)造了整體近似解,并證明其收斂到初邊值問(wèn)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(lèi)線(xiàn)性流形土矩陣方程兒( x ) = o分別具有對(duì)稱(chēng)解,反對(duì)稱(chēng)解和對(duì)稱(chēng)半正定解的條件,得到了方程和l一s問(wèn)題解的通式,同時(shí)解決了解的最逼近問(wèn)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(wèn)題ax = b約束下實(shí)矩陣、實(shí)對(duì)稱(chēng)矩陣、雙對(duì)稱(chēng)矩陣和對(duì)稱(chēng)次反對(duì)稱(chēng)矩陣的擴(kuò)充問(wèn)題,討論了在其解集合中與給定矩陣a ~ *的最佳逼近問(wèn)題,得到了問(wèn)題的解存在的條件及通式的表示,給出求解問(wèn)題的數(shù)值算法和數(shù)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(tǒng)分析了相應(yīng)問(wèn)題的邊界變分方程,截?cái)嗟膍rm邊界變分方程與近似截?cái)鄊rm邊界變分方程解的存在唯一性,解釋了網(wǎng)格寬度與mrm方法中截?cái)鄶?shù)的選取原則,討論了mrm方法中的迭代誤差估計(jì),給出了數(shù)值算例。