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Self-organizing network simulation of cardiac contraction dynamics. [PDF]
Liu R, Yang H.
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Nonlinear Stochastic Dynamics of the Intermediate Dispersive Velocity Equation with Soliton Stability and Chaos. [PDF]
Wali S +4 more
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Patellar Instability: Diagnostic Workup. [PDF]
Hinton Z +3 more
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Numerical robustness of COVID-19 model with Lyapunov stability analysis. [PDF]
Pandey A, Ghosh S.
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Bending Energy Schemes for Discrete-Spring-Network Structural Modelling of Red Blood Cells. [PDF]
Ehi-Egharevba O, Chen M, Boyle FJ.
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Predicting stiff ordinary differential equations with stiffness coefficient
Australian Journal of Mechanical Engineering, 2014Stiff 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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Methods for stiff differential equations
ACM SIGNUM Newsletter, 1973Under 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, 2013This 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
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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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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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Selective Computation—VI: Stiff Differential equations
Nonlinear Analysis: Theory, Methods & Applications, 1979IN 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.
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