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The simulation is performed using a numerical scheme that carefully resolves the behaviour near the equilibria.
An accurate simulation of 6-fold symmetric dendritic solidification is presented using a numerical scheme based on these finite-differences.
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Since patterns of holes in the diatom reveal an hexagonal symmetry (Fig. 3a) resembling a photonics crystal, we used a numerical scheme to evaluate whether a similar geometry, decorated with a uniform distribution of Au nanoparticles, may locally enhance the EM signal.
This study demonstrates a method for conducting such a sensitivity analysis using a numerical optimization scheme.
The proposed methods are compared in terms of efficiency and accuracy with a state-of-the-art high-resolution finite volume scheme using a numerical example.
The system of ODEs resulting from these sets is then solved using a numerical integration algorithm, in this case the Matlab (The Mathworks) built-in solver ode15s using an implicit integration scheme with numerical differentiation formulas.
The existence and uniqueness of the non-negative solution to the ORE are shown and the ORE is converted into a matrix Riccati differential equation which allows the use of a numerical scheme to solve the control problem.
The coupled system is solved by using a simple numerical scheme based on finite differences.
Equations (22) and (28) can be used to develop a numerical scheme.
These can be used directly in a numerical scheme as a means to get good field representations when applying boundary conditions, and this can be done even if the layer is not thin.
The elastoplastic constitutive equations are integrated using an implicit numerical scheme based on a multi-level Newton procedure.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com