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It has been demonstrated that, although removing spatial discretization is possible by introducing certain change of variables and approximations, the resulting model has limited numerical precision and may show numerically unstable behavior.
As a consequence, noise develops in the numerical solution and these models can even become numerically unstable at high resolution.
Mixing processes are also analytically and numerically unstable.
Analytical solutions of the quartic polynomial yield numerically unstable formulations.
This work demonstrates that even for relatively short time steps, this method can be numerically unstable.
The euler integration method is not thread safe (it is also numerically unstable, which should be reason enough to avoid it).
Similar(14)
However, since typical experiments use on the order of k ≈ 30 PCR cycles, analytic derivatives of P with respect to T result in unwieldily and numerically-unstable expressions.
The autocatalytic kinetic model of the chlorination reactions was found to be numerically very unstable.
Complex eigenvalue analysis is a traditional way to detect numerically the unstable modes that can be associated with extensive vibration and noise pollution.
The pertinent frequency is close to experimentally found values if, in the absence of numerically determined (physically unstable) solutions of the steady Navier-Stokes equations, the steady basic wake flow is modelled realistically.
Numerically stable and unstable steady states of the ODE model are determined as a function of a bifurcation parameter.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com