1) fractional order linear multiple step method
分数阶的线性多步法
1.
A fractional order linear multiple step method is introduced, a high order approximation of fractional order ordinary differentia.
在这篇文章中,我们考虑最简单的分数阶常微分方程,引进了分数阶的线性多步法,导出了分数阶常微分方程初值问题的高阶近似,证明了其方法的相容性和收敛性,并且给出了稳定性分析。
2) fractional linear multi-step methods
分数阶线性多步长方法
3) second derivative multistep methods
二阶导数线性多步法
1.
In this paper, we present a new class of second derivative multistep methods.
本文导出新的二阶导数线性多步法,这些方法适合于求解刚性方程组,方程的稳定域由根轨迹法给出,数值试验显示方法是行之有效的。
4) linear multi step integral method
线性多步积分法
1.
A new modeling of high speed interconnects was made up using the traditional order reduction method, Arnoldi arithmetic, based on the linear multi step integral method, which has the consistent form with the integrated circuits.
基于线性多步积分法 (LMIM)建立了高速互连系统的数值模型 ,该模型具有和集总参数电路相容的形式 ;在此基础上 ,结合 Arnoldi算法 ,建立了互连系统相应的缩减模型 ;利用该缩减数值模型可以消除传统缩减模型仅适用于 RLC电路的条件限制 。
2.
The linear multi step integral method (LMIM) was presented for the transient simulation of the inter connects in high speed VLSI.
利用线性多步积分法分析了高速 VLSI中互连线的瞬态响应问题 。
5) linear multistep method
线性多步法
1.
The sufficient condition which analytical solution of neutral delay differential equations with multiple delays is asymptotically stable was given; the asymptotic stability of linear multistep methods for the numerical solution of neutral delay differential equations with multiple delays was discussed.
给出并证明了多延迟中立型系统渐近稳定的充分条件;分析了用线性多步法求解多延迟中立型系统数值解的稳定性,基于Lagrange插值,证明了数值求解多延迟中立型系统的线性多步法渐近稳定的充分必要条件是它是A-稳定的。
2.
The asymptotic stability of linear multistep methods for the numerical solution of neutral delay differential equations with multiple delays is discussed.
分析了用线性多步法求解一类多延迟中立型系统数值解的稳定性,在一定的La- grange插值条件下,给出并证明了求解多延迟中立型系统的线性多步法数值稳定的充分必要条件。
3.
The results obtained show that the conclusions about the algebraic stability of the same linear multistep method under different choices of inner vectors are probably different, and in A stable linear 2 step methods, the method which is always algebraically stable under all different choices of inner vectors is unique, and in fact, it is the 2 step Gear’s method with order 2.
讨论了在内向量不同选取下的线性多步法和单支法的代数稳定性。
6) linear multistep methods
线性多步法
1.
Stability of linear multistep methods for neutral volterra delay integral differential equations;
中立型Volterra时滞积分微分方程线性多步法的稳定性(英文)
2.
The sufficient conditions for the dissipativity of theoretical solution of the mentioned problem were given,and the numerical solution was dissipative in some proper conditions for a class of linear multistep methods when they were applied to these problems.
首先,对此类中立型延迟微分方程理论解的散逸性给出了充分条件;随后,应用一类线性多步法求解至该类问题,证明了在适当条件下,其数值解也具有散逸性;最后,数值试验进一步验证了理论结果的正确性。
3.
General one-leg methods and linear multistep methods are applied to the continuous-time waveform relaxation iteration schemes for a class of nonlinear differential-algebraic equations and the discrete-time waveform relaxation schemes are obtained.
针对一类非线性微分代数方程连续时间波形松弛迭代格式,应用一般的单支方法和线性多步法,得到离散时间波形松弛迭代格式。
补充资料：分数阶积分与微分
分数阶积分与微分
og fractional integration and differentia-
分数阶积分的逆运算称为分数阶微分:若几介F，则f为F的:阶分数阶导数(na ctional deriVative).若0<戊
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