Results 221 to 230 of about 667,302 (248)

Nonlinear stability of one-leg methods for delay differential equations of neutral type

Applied Numerical Mathematics, 2008
The paper explores one-leg methods for neutral delay differential equations and considers aspects of stability. New stability concepts (GS-, GAS- and weak GS-stablility) are introduced and results are given that relate these concepts to already known concepts such as A-stability. The paper is structured as follows.
Shou-Fu Li
exaly   +3 more sources

Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations

Mathematics and Computers in Simulation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wansheng Wang
exaly   +2 more sources

The extended one-leg methods for nonlinear neutral delay-integro-differential equations

Applied Numerical Mathematics, 2009
The authors study the stability of backward differentiation formula (BDF) methods of the form \[ \rho(E) y_{n} = h f(\sigma(E)t_{n},\sigma(E)y_{n}), \] introduced by \textit{G. Dahlquist} [Lect. Notes Math. 506, 60--72 (1976; Zbl 0352.65042)], applying to a system of delay integro-differential equation of special form ( the right side \(f\) of equation
Chengjian Zhang, Yaoyao He
exaly   +3 more sources

Convergence of one-leg methods for nonlinear neutral delay integro-differential equations

Science in China Series A: Mathematics, 2009
Some convergence, results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are developed. It is proved that a one-leg method is \(E\)- (or \(EB\))-convergent of order \(p\) for nonlinear NDIDEs if and only if it is \(A\)-stable and consistent of order \(p\) in classical sense for ordinary differential equations ...
Wansheng Wang, Shoufu Li, Li Shoufu
exaly   +2 more sources

Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingting Qin, Chengjian Zhang
exaly   +3 more sources

Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems

Computing (Vienna/New York), 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiguo Xiao, Chengming Huang, Siqing Gan   +2 more
exaly   +3 more sources

Precisely A(α)-Stable One-Leg Multistep Methods

BIT Numerical Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janssen, M.H.M., Van Hentenryck, P.
openaire   +1 more source

Error of One-leg Methods for Singular Perturbation Problems with Delays

Acta Mathematicae Applicatae Sinica, English Series, 2002
The paper deals with the error behaviour of A-stable one-leg integration schemes applied to the singularly perturbed differential-delayed system \(x'(t)= f(z(t))\), \(\varepsilon y'(t)= g(z(t))\) for \(t\in [0, T]\) and \(x(t)= \varphi(t)\), \(y(t)= \psi(t)\) for \(t\leq 0\), where \(z(t)= (x(t), x(t-\tau),y(t), y(t-\tau))\) and \(\varepsilon> 0\) is a
Gan, Si-qing, Sun, Geng
openaire   +2 more sources

Landing method for a one-legged robot with artificial muscles and an MR brake

IECON 2015 - 41st Annual Conference of the IEEE Industrial Electronics Society, 2015
Bipedal robots capable of various dynamic motions — such as walking, running, and jumping — have been developed in recent years. In particular, these dynamic motions require high power for short durations of time when the robot kicks off the ground. Furthermore, it is necessary to reduce the impact force that a robot is subjected to when landing during
Hikaru Ishihara, Takahiro Nagayama, Hiroki Tomori, Taro Nakamura 0001   +3 more
openaire   +1 more source

On One-Leg Multistep Methods

SIAM Journal on Numerical Analysis, 1983
The properties and possibilities of one-leg methods are presented in a manner that admits the generalization to smoothly varying step size. A new definition is given of the local truncation error and of the order of consistency. Some data are given for the most accurate one-leg methods, i.e.
openaire   +1 more source