The stiffness ratio is the absolute value of the ratio of maximum to minimum values of the real components of a systems eigenvalues.[^1] If the stiffness ratio is greater than \(10^4\) then the system is considered to be a stiff system.[^1] A stiff system means that parameters vary at significantly different rates.[^1] Chemical reactions may be stiff systems if the reaction rates differ by orders of magnitude.[^2] For example$$\begin{cases}\dot{x}_1=3000x_1+2000x_2 \\\dot{x_2}=2x_1+3x_2\end{cases}$$
[[Eigenvalues of a Circular Vector Field]] – stiffness ratio is undefined
[[Exponential Decay Vector Field]] – considered stiff if $k$ is greater than $10^4$
[[Implicitly Coupling TRACE and PARCS]] – This coupled reactor system is very stiff
[[Fully-Implicit Transient Newton Krylov Methods]] – good for stiff systems
[[Fluid-Structure Interaction]] – uses a stiff integrator
- sriyudthsakMathematicalModelingDynamic2016[^1]
- NumericalIntegration[^2]