nonlinear computation 中文意思是什麼
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Yushun wang, bin wang, zhongzhen ji, high order multisymplectic schemes for the nonlinear klein - gordon equation, applied mathematics and computation, to appear
王雨順，王斌，季仲貞，孤立波方程的保結構演算法，計算物理， 2004 ，第五期 -
Wang guangmin, wang xianjia, wan zhongping, a globally convergent algorithm for a class of bilevel nonlinear programming problem, applied mathematics and computation, 2007, 188 : 166 - 172
王廣民，王先甲，萬仲平，二層線性規劃的自適應遺傳演算法， （投應用數學與力學） -
Yurong chen, dayong cai. inexact overlapped block broyden methods for solving nonlinear equations. applied mathematics and computation, 136 （ 2 - 3 ） （ 2003 ） 215 - 228
陳玉榮.大型非線性方程組的演算法及在電力系統中的應用： [博士學位論文] .北京：清華大學數學科學系. 2002 -
According to mechanics theory the formulary of flexural rigidity, axial rigidity, shearing rigidity are deduced. the framework membrane structures are widely used present. the nonlinear finite element method is used in this dissertation, after form - finding the shape are overlapped the framework structure, the shape and the framework structure make up integrality structure, the nonlinear finite element method is employed, due to deadweight and wind load and snow load and self - stressing the response of the framework membrane structures are analyzed, and computation results of integrality model and dividing model have been compared
骨架式膜結構是目前應用最廣泛的的膜結構，本文運用非線性有限元理論，將找形后的膜面覆蓋在骨架結構上，膜面與鋼結構組成整體，採用非線性有限元方法對骨架式膜結構在自重和自應力、風荷載、雪荷載等共同作用下的反應進行了分析，對膜結構和骨架結構分開計算和整體計算模型進行了比較。 -
Firstly, the problem that external waterpressure aroused by different seepage control is how to sound distribute between the grouting rock and liner is analyzed by nonlinear computation
首先，研究了不同滲控方案的外水壓力在灌漿加固圈和襯砌上如何合理分配的問題。 -
In order to predict high - strength bolts pretension and contact - friction in contact zone, status nonlinear in contact zone is adopted in fem model. the computation and analysis on the behavior of beam - to - column rigidity joints subjected to constant axial pressure on the top of column and cyclical load at tip of beam is carried out
實體模型的建立，考慮了接觸區的狀態非線性，以模擬高強螺栓的預拉力、螺栓連接區的摩擦接觸，對承受軸力的樑柱剛性連接方式在循環荷載作用下的滯回性能進行了計算分析。 -
By successful solution of non - linear magnetic fields and revision of the program, we can reach following conclusions : in the computation of nonlinear magnetic fields, if iteration method is used, under - relaxation is necessary when amending the permeability distribution in soft magnetic materials ; and when < wp = 5 > calculating the equivalent current density in permanent magnets, under - relaxation is not a necessity ; when searching for permeability values by interpolation method on the demagnetization curve of soft magnetic materials, if a fixed saturation point is set, around this point an abrupt change of permeability values will be obtained ; this sudden change may cause a little problem in the smoothness of magnetic field distribution ; because the magnetic circuits of microwave tubes are too complicated, in the author ' s view, to describe the working state of a magnet system, the working points of magnets can not do it properly but average energy production of magnets will serve ; as to indicate the quality of a magnet system design for microwave tubes, the efficiency of magnetic energy utilization will be a very good criterion
由此得出結論，在非線性磁場計算中：採用迭代法的情況下，在各迭代循環之間進行磁導率修正時，一個欠鬆弛迭代過程是必需的；對永磁體中的等效電流修正時可以不作欠鬆弛迭代；在純鐵的磁化曲線上指定某一個固定的磁感應強度為磁飽和值，會使得插值求出的磁導率在該磁飽和值附近有一突變，這一突變對計算結果中磁場分佈變化的光滑性稍有影響。在微波管磁系統設計中，由於微波管磁路比較復雜，作者認為磁體的工作點並不能很好地反映磁體的工作狀態，而採用平均磁能積為衡量磁體工作狀態的標準更加符合微波管磁系統的實際情況；要表示磁系統設計好壞的程度，則用磁能利用的效率為標準更好。 -
Secondly : i choose a non - linear filter named hybrid filter which combines linear and nonlinear filters is proposed for print gray image, it performs better than average fil ters and median filters on noise reduction. while retaining edges of an image. i suggest a modified version and fast implementation of this filter improve its performance. because of its reduced computation complexity, this filter excels in real - time tasks
因為噪聲時常包含非線性問題，針對這種情況，既要抑制噪聲，又要保護圖像邊緣，本文採用一從度指紋圖像上噪處理研究種基於線性，非線性的混合濾波器演算法，該演算法比均值濾彼器，中值加權濾波器，格形濾波器，具有更好的抑制噪聲的能力，不但較好的保持圖像地邊緣，而且能反映圖像的幾何結構和細節特性。 -
Numerical computation is now the most popular method in the study of nonlinear wave propagation and transformation
數值計算方法已成為研究波浪在近岸的傳播變形及其與障礙物之間的相互作用的主要方法之一。 -
Based on the search - extend - method ( sem ) that proposed by c. m. chen and z. q. xie for computing multiple solutions of nonlinear elliptic equation, this paper introduces the fem and the interpolated coefficient finite element method into the sem and calls this improved version as isem. isem not only can reduce our expensive computation greatly but also can be generalized to non - odd nonlinearity cases as well as many different domains ( including the concave domains )
本文在c . m . chen和z . q . xie提出的一種全新的計算非線性橢圓型方程多解的搜尋延拓方法sem的基礎上，引入了有限元方法和插值系數方法，改進后的sem （稱為isem ）大大減少了計算量，並且將原方法推廣到非奇非線性情形和多種區域（包括凹域）上。 -
The first order nonlinear hyperpolarizabilities in second - harmonic generation process and electro - optical pockels effect are computed. the basis set effects in ab - mitio quantum - chemical computation are mainly studied. the correction to the nonlinear optical properties due to the electronic correlation energy is discussed and the relationship between the first order hyperpolarizabilities and the frequencies of the external electric field is also investigated
計算了二次諧波振蕩過程和電光pockels效應過程的一階非線性超極化率，研究了電子的相關能對pna分子的非線性光學性質的影響以及pna分子的一階非線性超極化率與外加光電場頻率之間的色散關系，並著重討論了量子化學從頭計算中基矢組的選取對計算結果的影響。 -
In this dissertation, with the aid of many types of constructive transformations and symbolic computation, some topics in nonlinear waves and integrable system are studied, including exact solutions, painleve integrability, backlund transformation, darboux transformation, symmetry ( similarity reduction ), conditional symmetry, lax integrable hierarchy, liouville integrable n - hamilton structure, constraint flow, involutive system, lax representation, r - matrix, separation of variables and integrable couplings. chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly, the basic theories of c - d pair and c - d integrable system are presented
本文以構造性的變換及符號計算為工具，來研究非線性波和可積系統中的一些問題：精確解（如孤子解、周期解、有理解、 dromion解及compacton解等） 、 panileve可積性、 backlund變換、 darboux變換、對稱（相似約化） 、條件對稱、 lax可積族、 liouville可積的n - hamilton結構、約束流、對合系統、 lax表示、 r -矩陣、變量分離及可積的耦合系統 -
In view to that, with the aid of a newly developed evolutionary computation technology, namely, genetic programming, it is significative to study the identification of certain nonmonotonic nonlinear systems based on genetic programming
針對上述情況，藉助于新興的進化計算遺傳編程方法，研究基於遺傳編程技術的對某類非單調、非線性系統的辨識方法具有十分重要的意義。 -
And use this optimization program computate the boom structure shape of heavy bucket - wheel stacker & reclaimer ; based on shape optimization, we use second optimization technology to optimize structure section size. the optimization results are satisfied. the computation indicates that considering the geometric nonlinear element can enhance the calculation efficiency and precision of optimization design evidently in sensitivity analysis
編制了空間剛架結構優化設計程序（ 3dfem - opt . for ） ，並利用編制的優化程序對某大型斗輪堆/取料機前臂架在最大應力約束條件下，進行結構形狀優化設計;在形狀優化的基礎上，採用二次優化技術，對結構的截面尺寸進行了優化。 -
The paper hopes to extract a solution of a nonlinear partial differential equation, a quite new model, of low - permeability gas reserves, then studies the penetraial character. the pose of the model has already been proved theoretically [ 4 ], which encourages us to seek an aptitude numerical calculation and to realize the computation
本文希望對一個低滲透氣藏非線性偏微分方程的數學新模型的求解，來研究具有滑脫效應下的滲透特徵，利用模型的適定性在理論上已經獲證的結果，探尋恰當的數值計算方法並且實現編程實現計算機電算化。 -
The second part, with the aid of many types constructive transformation and symbolic computation ( especially wu algebraic elemination method ), some topics in nonlinear evolution equation are studied, including exact solution ( solitary solution, periodic solution, rational function solutions and jacobian function solution ), backlund transformation, cole - hopf transformation, dromion solution and its construction etc. charter 2 introduces ac = bd model and its application about partial differential equations
第二部分以構造性的變換及符號計算特別是（吳代數消元法）為工具，來研究非線性演化方程中的一些問題：精確解（如孤子解、周期解、有理解和雅可比橢圓函數解（雙周期解）等） 、 backlund變換、 hopf變換， dromion解及衰變結構等第二章介紹了求解pdes的ac = bd模式及其在偏微分方程中的作用。 -
For online learning of a rule - based knowledge system, strategies of rule updating in rough set information system and matrix computation algorithms for dynamic modification of rules are given. 4 based on definitions of nonlinear system methodology, rough set based state space model is proposed
4 、從非線性系統分析方法出發，構造了基於粗糙集決策規則的非線性運算元方程和粗糙狀態空間，分析了粗糙狀態空間模型的一致性和完備性，給出了對不一致和不完備的粗糙狀態空間模型進行補充的方法。 -
In the analysis, a cfst arch ( single tube ) is first divided into a finite number of straight beam elements. according to the virtual work principle and the modified newton - raphson iteration method the tangent stiffness matrix considering double nonlinear properties is established. with regard to the non - equilibrium forces, the material nonlinear property along the height of the section and the length of the element is considered and the computation accuracy is improved as a result
本文首先將拱肋劃分為一系列的直梁單元，運用虛功原理和修正newton - raphan數值迭代演算法的基本原理準確推導了拱肋直梁單元的非線性切線剛度矩陣；在不平衡力方面考慮了沿截面高度和單元長度方向材料非線性的發展過程，提高了計算精度；再根據得到的切線剛度矩陣採用荷載增量步內修正newton - raphan迭代的增量迭代法進行了求解。 -
So far, there is no effective method for the computation of focus quantities and saddle quantities. compared with the work of other authors, complex nonlinear integrating operation and solving multivariate linear equations are avoided in computation, which are necessary in more usual approaches. the calculation and simplification of focus quantities can be readily done with these formulas and computer symbol operation systems
焦點量與鞍點量的計算至今尚無有效的方法，對比以往其他作者的工作，在計算方法上，我們避免了通常計算焦點量需要的非線性積分運算和求解多元方程組，使得焦點量極易在計算機上應用計算機符號運算系統進行快速計算和化簡。 -
Bifurcation is a common nonlinear phenomenon and plays an important role in the nonlinear science. in this thesis, we concentrate on analysis and computation of bifurcation. it can be separated as two parts on the whole
分歧是一種常見的非線性現象，並與其它非線性現象（如混沌、湍流、突變、分形、擬序結構等）密切相關，在非線性科學的研究中佔有重要地位。
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