Results 231 to 240 of about 667,302 (248)

One-Leg Methods and G-Stability

1996
The first stability results for nonlinear differential equations and multistep methods are fairly old (Liniger 1956, Dahlquist 1963), older than similar studies for Runge-Kutta methods.
Ernst Hairer, Gerhard Wanner
openaire   +1 more source

On one-leg methods for differential-algebraic equations

Circuits, Systems, and Signal Processing, 1986
The author analyses one-leg methods for systems of differential-algebraic equations. This extends her earlier work [Computing 35, 13-37 (1985; Zbl 0554.65050)] to systems where the Jacobian has a nullspace which, though still of constant dimension, may vary with time. For transferable systems conditions, that guarantee the stability of a one-leg method,
openaire   +1 more source

One-leg lifting method for humanoid robots based on SOPC design

2013 CACS International Automatic Control Conference (CACS), 2013
An one-leg lifting method for the humanoid robot based on SOPC design is proposed in this paper. Four pressure sensors are mounted on each foot for calculating the center of the robot's mass. In order to speed up the calculating time, the purposed method is implemented on a System On a Programmable Chip (SOPC).
Chi-Tai Cheng, Shih-An Li, Ching-Chang Wong, Li-Feng Chen, Min-Wei Chou, Yuen-Yang Hu   +5 more
openaire   +1 more source

Stability of one-leg Theta-methods for the variable coefficient pantograph equation

IMA Journal of Numerical Analysis, 2003
In this paper we consider the asymptotic behaviour of one-leg $\Theta$-methods when applied to the pantograph equation \begin{eqnarray*} \left\{ \begin{array}{rcl} y'(t) & = & a(t)\, y(t) + b(t)\, y(q\,t), \qquad t \ge 0, \\[0.0cm] y(0) & = & \bar{y}, \end{array} \right.
GUGLIELMI, NICOLA, ZENNARO M.
openaire   +4 more sources

Numerical stability of one-leg methods for neutral delay differential equations

BIT Numerical Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen, Liping, Liu, Xiong
openaire   +2 more sources

Multistep and one-leg methods for implicit mixed differential algebraic systems

IEEE Transactions on Circuits and Systems, 1979
General one-leg and multistep methods for mixed systems of implicit differential equations and algebraic constraints are defined. Such systems are encountered frequently in circuit analysis. Three different implementations of an A (\alpha) -contractive two-step Adams method are shown to be second-order accurate by an analysis of the local truncation ...
openaire   +1 more source

Error analysis of one-leg methods for differential-algebraic equations of index 2

Communications in Nonlinear Science and Numerical Simulation, 1999
This very brief note gives an order convergence result for one-leg methods applied to differential-algebraic equations of index two and confirms this numerically for a two step method of order two on a simple test problem.
Xiao, Aiguo, Li, Shoufu
openaire   +2 more sources

Integrating multiple qualitative research methods (or avoiding the precariousness of a one‐legged stool)

Psychology & Marketing, 1999
This article suggests that market research is enhanced when multiple qualitative methods are combined in a triangulated approach to examining marketing questions. The article begins with a case study that illustrates how a qualitative study can, by itself, be used as a basis for making marketing decisions, when methodological triangulation is employed ...
Amy L. Hall, Ray C. Rist
openaire   +1 more source

Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations

International Journal of Computer Mathematics, 2015
The purpose of this paper is devoted to studying the implicit–explicit IMEX one-leg methods for stiff delay differential equations DDEs which can be split into the stiff and nonstiff parts. IMEX one-leg methods are composed of implicit one-leg methods for the stiff part and explicit one-leg methods for the nonstiff part.
Gengen Zhang, Aiguo Xiao
openaire   +1 more source

B-convergence of split-step one-leg theta methods for stochastic differential equations

Journal of Applied Mathematics and Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xiaojie, Gan, Siqing
openaire   +1 more source