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To verify the complex time step method, a single-degree-of freedom system subject to blast loading described by a fourth order polynomial is considered in detail.
For fast computation of near-optimal portfolios, we demonstrate how the best-extension-by-one construction heuristic can be designed to run in time bounded by a fourth order polynomial.
Beta induced events in the NaI Tl crystal primarily result from Bremsstrahlung interactions, and can be estimated by multiplying the CaF2 Eu energy spectrum by a fourth order polynomial.
A deterministic and non-structured mathematical model of the fed-batch penicillin production process solved by a fourth order variable step Runge Kutta Gill algorithm type simulated the system.
A high resolution finite volume scheme is applied to solve the model in the crystal size coordinate, while an ODE-system in the time coordinate is solved by a fourth order Runge-Kutta method.
The mathematical model involves moving boundaries governed by a fourth order nonlinear partial differential equation which contains a nonlocal term corresponding to the electrical field and a nonlinear term corresponding to the curvature.
Similar(48)
And we can think of representing each of those resonances by a second order system.
A Helmholtz equation in two dimensions discretized by a second order finite difference scheme is considered.
It is concluded that the mettalic area can be expressed by a second order empirical correlation, while the catalytic activity and surface area by a third order correlation.
The process was modeled and optimized by a second order reduced polynomial model.
Viscoelastic relaxation is described by a first order model or by a stretched exponential.
More suggestions(17)
by a sixth order
by a second order
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com