1) Extended system
扩张系统
1.
The method could produce an small extended system and therefore could reduce the computational effort and storage.
这种方法构造了小扩张系统，以可调节的速度线性收敛，从而减少了计算量并节约了内
2.
Because of the underlyingsymmetry, we could propose some regular extended systems to determine doublehigh order S-breaking bifurcation points, and we could also show that there existtwo quadratic pitchfork bifurcation point paths passing through the point beingconsidered.
利用对称性，我们提出了相应的正则扩张系统来确定这类分歧点。
3.
Using the extended system for the folds of degree 4 proposed in JCM,1989,we discuss the convergence and error estimation caused by discretization for the butterfly catastrophe in nonlinear problems with three parameters.
应用我们在(JCM,1989)中提出的一个关于四阶折叠点的扩张系统,讨论了对非线性连续问题进行离散化后关于原问题中蝴蝶型突变点的收敛性和误差估计,给出了误差的渐近表达式,为使用外推方法来提高计算蝴蝶型突变点的精度提供了基础,文中给出的数值例子表明了误差估计和外推方法的有效性。
2) extended systems
扩张系统
1.
The extended systems for calculating a kind of bifurcation problems with two parameters;
计算一类两参数分歧问题的扩张系统
2.
In this paper, the extended systems are constracted for the calcuation of symmetry breaking bifurcation problems with two parameters, the nonsingularity for the extended equations are discussed.
构造了计算两参数分岐线的扩张系统,讨论了扩张系统的正则性。
3.
The extended systems for the calculation of symmetric breaking bifurcation problems with two parameters is constructed, the nonsingularity for the extended equations is proved, and the numerical example is given.
对两参数对称音叉式分岐问题,构造了扩张系统,证明了辅助方程的正则性,并给出牛顿法实现的数值例子。
3) Urinary dilatation
泌尿系统扩张
4) uniformly extended system
普适扩张系统
5) minimally extended system
极小扩张系统
1.
In this paper,a minimally extended system method was introduced to calculate simple fold points of power flow equations with sufficient accuracy.
采用极小扩张系统方法计算潮流方程的简单折叠点。
6) power system expansion
电力系统扩张
补充资料：极大扩张和极小扩张
极大扩张和极小扩张
maximal and minimal extensions
极大扩张和极小扩张匡.习的司出目.公油抽lex妇心.旧;MaKcl.Ma刀‘.oe H Mll.”M田.妇oe PaC山一Pe皿朋] 一个对称算子(s笋nr贺苗c opemtor)A的极大扩张和极小扩张分别是算子牙(A的闭包，(见闭算子(cfo“月。详mtor”)和A’(A的伴随，见伴随算子(呐。int opera.tor)).A的所有闭对称扩张都出现在它们之间.极大扩张和极小扩张相等等价于A的自伴性(见自伴算子(义休.adjoint operator))，并且是自伴扩张唯一性的必要和充分条件.A.H.J’Ior朋oB，B.c.lll户、MaR撰
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条