Results 211 to 220 of about 10,782 (261)

The effects of leg prosthesis stiffness and take-off board stiffness on long jump performance. [PDF]

Sci Rep
Ashcraft KR, Grabowski AM.
europepmc   +1 more source

Computational analysis of a spatiotemporal model of cancer-immune-chemotherapy dynamics with nonlinear diffusive interactions using spectral technique. [PDF]

Sci Rep
Shi H, Khan SU, Khan FU, Muhammad T, Alshehri A, Nasrat MK.   +5 more
europepmc   +1 more source

Differential/Algebraic Equations As Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1992
To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
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On the Einstein-Maxwell equations for a 'stiff' membrane

Classical and Quantum Gravity, 1989
The Einstein-Maxwell equations are examined for a distributional stress tensor depending on the mean shape of an immersion in a manifold with a piecewise smooth metric tensor. A solution is discussed that matches an exterior Reissner-Nordstrom metric to an interior Minkowski metric.
Hartley, D. H., Onder, M., Tucker, Robin
openaire   +2 more sources

Predicting stiff ordinary differential equations with stiffness coefficient

Australian Journal of Mechanical Engineering, 2014
Stiff ordinary differential equations (ODEs) are present in engineering, mathematics, and sciences. Identifying them for effective simulation is imperative. This paper considers only linear initial value problems and brings to light the fact that stiffness ratio or coefficient of a suspected stiff dynamic system can be elusive as regards the phenomenon
B K Aliyu, C U Nwojiji, A O Kwentoh
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A reliable rosenbrock integrator for stiff differential equations

Computing, 1981
This note points out that the reliability of step-by-step integrators for ordinary differential equations can be increased considerably by a simple trick. We incorporated this idea into a program based on an A-stable Rosenbrock formula. This program comprises about 100 statements only and gives good numerical results.
Björn A. Gottwald, Gerhard Wanner
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Examples of Stiff Equations

1996
Stiff equations are problems for which explicit methods don’t work. Curtiss & Hirschfelder (1952) explain stiffness on one-dimensional examples such as $$ y' = - 50\left( {y - \cos x} \right). $$ (1.1)
Ernst Hairer, Gerhard Wanner
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Methods for stiff differential equations

ACM SIGNUM Newsletter, 1973
Under supervision of professor G. Dahlquist different approaches to the numerical solution of stiff differential equations have been studied at our institute. As an introduction to the subject a survey of methods and applications up to 1970 (1) was made.
G. Bjurel, B. Lindberg
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A simple stiffness equation for a variable stiffness joint using a leaf spring

2017 IEEE International Conference on Robotics and Biomimetics (ROBIO), 2017
Variable stiffness joints using leaf springs have been developed to improve human-robot safety by stiffness variation, in which joint stiffness is often controlled by changing the effective length of the leaf spring. The nonlinearity of the leaf spring caused by large deflection complicates the calculation of the joint stiffness during the joint ...
Yan Wang 0019, Lijin Fang
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Solving stiff Lyapunov differential equations

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
We propose a method based on the matrix generalization of the backward differentiation formula for solving stiff Lyapunov differential equations. This method turns a Lyapunov differential equation into an algebraic Lyapunov equation so that the structure of the original equation can be exploited.
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