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The least-squares projection procedure appears frequently in mathematics, science, and engineering.
These basis functions were then used in the Galerkin projection procedure that yielded low-dimensional (reduced-order) models.
An improved SONAH procedure is applied to reconstruct source sound pressure fields that are input to the proposed nonlinear NAH projection procedure.
Troubled-cells are detected by applying the MLP concept, and the final accuracy is determined by a projection procedure and the hierarchical MLP limiting step.
The Galerkin projection procedure for construction of reduced order models of compressible flow is examined as an alternative discretization of the governing differential equations.
Two derivations of the exact boundary conditions are presented, one with Mori Zwanzig projection procedure, and the other using lattice Green's functions.
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Roughly speaking, the re-projection procedure is a basis set transformation.
We therefore investigated feasibility of replacing the two-stage registration-projection procedure in TBSS with a single, regularized, high-dimensional registration.
It investigates the performance and the robustness of these bases if they are applied in a reduction-by-projection procedure on different test cases.
Algorithm 1: Alternating projection optimization procedure for NTPCA.
Algorithm 1 lists the alternating projection optimization procedure for Nonnegative Tensor PCA.
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