We prove the uniform convergence of the multigrid V -cycle on graded meshes for corner-like singularities of elliptic equations on a bounded domain Ω ⊂ IR. In particular, using some weighted Sobolev space K a (Ω) and the method of subspace corrections with the elliptic projection decomposition estimate on K a (Ω), we show that the multigrid V -cycle converges uniformly for piecewise linear func...

6.1 Spectral Estimation Methods 6.1.1 Bartlett Method 6.2 Minimum Variance Distortionless Response Estimator 6.3 Linear Prediction Method 6.4 Maximum Entropy Method 6.5 Maximum Likelihood Method 6.6 Eigenstructure Methods 6.7 MUSIC Algorithm 6.7.1 Spectral MUSIC 6.7.2 Root-MUSIC 6.7.3 Constrained MUSIC 6.7.4 Beam Space MUSIC 6.8 Minimum Norm Method 6.9 CLOSEST Method 6.10 ESPRIT Method 6.11 Wei...

  Abstract.   The Sturm-Liouville boundary value problem of the multi-order fractional differential equation  is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.

6.1 Spectral Estimation Methods 6.1.1 Bartlett Method 6.2 Minimum Variance Distortionless Response Estimator 6.3 Linear Prediction Method 6.4 Maximum Entropy Method 6.5 Maximum Likelihood Method 6.6 Eigenstructure Methods 6.7 MUSIC Algorithm 6.7.1 Spectral MUSIC 6.7.2 Root-MUSIC 6.7.3 Constrained MUSIC 6.7.4 Beam Space MUSIC 6.8 Minimum Norm Method 6.9 CLOSEST Method 6.10 ESPRIT Method 6.11 Wei...

‎A new method for the defuzzification of fuzzy numbers is developed in this paper. It is well-known, defuzzification methods allow us to find aggregative crisp numbers or crisp set for fuzzy numbers. But different fuzzy numbers are often converted into one crisp number. In this case the loss of essential information is possible. It may result in inadequate final conclusions, for example, expert...

The symmetrical decomposition is a powerful method to extract features for image recognition. It reveals the significant discriminative information from the mirror image of symmetrical objects. In this paper, a novel null space kernel discriminant method based on the symmetrical method with a weighted fusion strategy is proposed for face recognition. It can effectively enhance the recognition p...

in this paper we propose a relatively new semi-analytical technique to approximate the solution ofnonlinear multi-order fractional differential equations (fdes). we present some results concerning to the uniqueness of solution of nonlinear multi-order fdes and discuss the existence of solution for nonlinear multi-order fdes in reproducing kernel hilbert space (rkhs). we further give an error an...

We calculate the small quantum orbifold cohomology of arbitrary weighted projective spaces. We generalize Givental’s heuristic argument, which relates small quantum cohomology to S-equivariant Floer cohomology of loop space, to weighted projective spaces and use this to conjecture an explicit formula for the small J-function, a generating function for certain genuszero Gromov–Witten invariants....