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Patellar Instability: Diagnostic Workup. [PDF]

open access: yesVideo J Sports Med
Hinton Z   +3 more
europepmc   +1 more source

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
openaire   +1 more source

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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Linearizing Stiff Delay Differential Equations

Applied Mathematics & Information Sciences, 2013
This paper deals to the study and approximation of stiff delay differential equations based on an analysis of a certain error functional. In seeking to minimize the error by using standard descent schemes, the procedure can never get stuck in local minima, but will always and steadily decrease the error until getting to the solution sought.
S. Amat, M L�egaz, P. Pedregal
openaire   +1 more source

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
openaire   +1 more source

Selective Computation—VI: Stiff Differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1979
IN THIS paper, we wish to consider stiff differential equations. This is a very serious problem computationally and very interesting analytically. It is relevant to selective computation since stiffness is very significant in case we want to do long term integration. In Section 2, we make some comments about the origins of stiffness.
openaire   +1 more source

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