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 one-leg 单支(39)单腿(3)
 单支
 We prove that θ-methods with the Lagrange interpolation process is GP-stable if and only if 1/2≤θ≤1.The one-leg θ-methods is GP-stable if and only if θ=1. 证明了基于Lagrange插值的θ方法是GP 稳定的当且仅当1/2≤θ≤1.单支θ方法是GP 稳定的当且仅当θ=1. 短句来源 In chapter 2, we prove that G(c,p,q)-algebraically stable one-leg methods with linear interpolation are GR(p/2,q/2)-stable and weak GAR(p/2,q/2)-stable for c<1 and GAR(p/2,q/2)-stable for c 在第二章，我们证明了带有线性插值的G(c,p,g)-代数稳定的单支方法当c≤1时是GR(p/2,q/2)-稳定及弱GAR(p/2,q/2)-稳定的，当c＜1时是GAR(p/2,q/2)-稳定的。 短句来源 It is proved that one-leg θ-methods are stable for 1/2≤θ≤1 and asymptotically stable for 1/2<θ≤1 when the methods are applied to the class R_(α,β) of nonlinear neutral delay differential equations. 对求解Rα,β类非线性中立型延迟微分方程的单支θ-方法,证明了如下结论:当1/2≤θ≤1时,单支θ-方法是稳定的; 当1/2<θ≤1时,单支θ-方法是渐近稳定的. 短句来源 This paper is concerned with the numerical stability of one-leg θ-methods for nonlinear Volterra integral equations with delay. It is shown that one-leg θ-methods are globally stable for 1/2 ≤ θ ≤ 1 and asymptotically stable for 1/2 ≤ θ≤ 1. 本文研究Volterra延迟积分方程单支θ-方法的数值稳定性,结果表明:当1／2≤θ≤1 时,单支θ-方法是全局稳定的,当1／2<θ≤1时,单支θ-方法是渐近稳定的． 短句来源 STABILITY OF ONE-LEG θ-METHODS FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS WITH DELAY Volterra延迟积分方程单支θ-方法的数值稳定性 短句来源 更多
 单腿
 We focus on the behaviour of the one-leg method and the linear method in the solution of the linear test equation U'(t)=λ(t)U(t)+μ(t)U(t-τ)with τ>0 and λ,μ functions from R to C. 重点解决了单腿θ—方法和线性θ—方法用于求解线性检验方程U(t)=λ(t)U(t)+μ(t)U(t-τ),其中τ>0,λ、μ是从实数域到复数域上的函数,证明了当0<θ<1时两种方法都是不稳定的; 短句来源 This paper deals with the stability analysis of θ─methods for the solution of double de- lay differential equations u'(t)= au(t) + bu(t - τ)+ cu(t - kτ), and proves that one-leg θ─method and linear θ─method are stable respectively when θ= 1 and 1/2 ≤ 0 ≤ 1 .* 考虑双延迟微分方程的数值稳定性，考察试验方程的线性θ─方法和单腿θ─方法，这里a，b，c是复常数，τ＞0，k是大于1的整数。 证明了当θ＝1时，单腿θ─方法是稳定的； 短句来源 The linear θ- method and one - leg θ- method are applied to the delay differential equation with piece-wise continuous arguments with one delay[t]. The asymptotic stability of numerical solutions is studied. 运用线性θ-方法和单腿θ-方法处理了带有一个延迟项(t)的分段连续型延迟微分方程数值解的渐近稳定性问题. 短句来源
 “one-leg”译为未确定词的双语例句
 Euler method, single step method and one-leg multistep method are considered as maily numerical computation schemes. 本文分别采用显式Euler法，单步θ-方法和one-leg方法作为数值计算格式。 短句来源 STABILITY CRITERIA FOR ONE-LEG METHODS AND LINEAR MULTISTEP METHODS 单支方法及线性多步法的稳定性准则 短句来源 Asymptotic Stability of One-leg Methods of Nonlinear Multi-de lays Differential Equations 非线性MDDEs的单支方法的渐近稳定性 短句来源 Stability of One-leg Methods of Nonlinear Multi-delays Differential Equations 非线性MDDEs的单支方法的稳定性 短句来源 THE STABILITY OF ONE-LEG SCHEMES FOR DIFFUSION AND DISPERSION EQUATIONS 扩散和色散方程单支格式的稳定性 短句来源 更多

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 one-leg
 One-leg methods and linear multistep methods are two class of important numerical methods applied to stiff initial value problems of ordinary differential equations. Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems The results obtained in this paper can be extended for one-leg VSVFM's and for VSVFM's based on predictorcorrector schemes of different types. Thus, we adapt our local-global step size selection strategy to one-leg methods. We show that the error control is more complicated in one-leg methods, especially when applied to stiff problems. 更多