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Its accuracy is established by comparing the predictions with those of a non-linear model and a numerical simulation.
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After error analysis to ensure that sufficient accuracy is established for the response surfaces, they are then implemented in a calculator module for use by the system-level software.
A general framework (for arbitrary order of accuracy) is established to construct a limiter for finite volume schemes (e.g. essentially non-oscillatory (ENO) or weighted ENO (WENO) schemes) or discontinuous Galerkin (DG) method with first order Euler forward time discretization solving one-dimensional scalar conservation laws.
Motivated by Perthame and Shu (1996) [20] and Zhang and Shu (2010) [26], a general framework, for arbitrary order of accuracy, is established to construct a positivity preserving limiter for the finite volume and DG methods with first order Euler forward time discretization solving one-dimensional compressible Euler equations.
A POD-based reduced-order finite difference (FD) extrapolating algorithm (FDEA) with lower dimension and fully second-order accuracy is established.
Horizontal positional accuracy was established by professional judgement.
Polynomials to predict them with a high accuracy are established.
Theoretical results on the divergent subspace selection accuracy are established.
Global boundedness of the overall adaptive system and convergence to zero equilibrium state with any prescribed accuracy are established.
The method's accuracy was established by analyzing a certified reference material (CRM), BCR-646 freshwater sediment.
Consistency and accuracy are established by comparing particle and Eulerian density, mixture fraction, and RMS mixture fraction fields.
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CEO of Professional Science Editing for Scientists @ prosciediting.com