WLS-ENO remap: Superconvergent and non-oscillatory weighted least squares data transfer on surfaces

WLS-ENO: Weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes

ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes are widely used high-order schemes for solving partial differential equations (PDEs), especially hyperbolic conservation laws with piecewise smooth solutions. For structured meshes, these techniques can achieve high order accuracy for smooth functions while being non-oscillatory near discontinuities. For u...

Power System State Estimation Using Weighted Least Squares (WLS) and Regularized Weighted Least Squares(RWLS) Method

In this paper, a new formulation for power system state estimation is proposed. The formulation is based on regularized least squares method which uses the principle of Thikonov’s regularization to overcome the limitations of conventional state estimation methods. In this approach, the mathematical unfeasibility which results from the lack of measurements in case of ill-posed problems is elimin...

Robust location algorithm based on weighted least- squares support vector machine (WLS-SVM) for non- line-of-sight environments

One of the main problems facing accurate location in wireless communication systems is non-line-ofsight (NLOS) propagation. Though learning location methods perform well in NLOS environments, learning location methods may be improved further since these methods do not consider outliers in the training data set. In this paper, we extend weighted least squares support vector machine (WLS-SVM) alg...

Weighted Least Squares Estimation with Missing Data

A New Class of ENO Schemes Based on Unlimited Data-Dependent Least-Squares Reconstruction

A crucial step in obtaining high-order accurate steady-state solutions to the Euler and Navier-Stokes equations is the high-order accurate reconstruction of the solution from cell-averaged values. Only after this reconstruction has been completed can the ux integral around a control volume be accurately assessed. In this work, a new reconstruction scheme is presented that is conservative, unifo...