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Validity of the proposed algorithm has been demonstrated by computing misclassification error rate.
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Accuracy and efficiency of the method are demonstrated by computing the numerical conserved laws and L2, L ∞ error norms.
The reusability of extracted molecular coordinate data was demonstrated by computing Single Point Energies that were in close agreement with the original computed data provided with the articles.
The effectiveness of these algorithms, up to the 12th order, is demonstrated by computing all 120 eigenstates of a model C60 molecule to very high precisions.
The accuracy and efficiency of the solution methodology presented are demonstrated by computing different benchmark steady and unsteady incompressible flow problems.
The suitability of the scheme for discretisation of the compressible Navier Stokes equations is demonstrated by computing inviscid and viscous eigensolutions of compressible Couette flow.
Significant improvements in the accuracy of a central-difference scheme are demonstrated by computing both inviscid and viscous transonic airfoil flows.
Performances are demonstrated by computing some incompressible and compressible benchmark test cases for thermal (gravitational) convection, which are then extended to the high-temperature regime taking advantage of the newly developed features.
The capability of dealing with large boundary displacements is demonstrated by computing the flow around the translating infinite- and finite-span NACA 0012 wing moving through the domain at the flight speed.
The performance and the accuracy of the method are demonstrated by computing the Kovasznay flow and the two-dimensional lid-driven cavity flow for a wide range of Reynolds numbers and for various degrees of polynomial approximation.
The efficiency of the approach is demonstrated by computing the mean distance of the random elasticity tensor to a given material symmetry class, the distance and projection onto the space of transversely isotropic tensors being defined by considering the Riemmanian metric and the Euclidean projection, respectively.
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