With the development of Internet and other digital technologies, speed data generation has become considerably faster than processing. Because big typically contain massive redundant information, it is possible to significantly simplify a dataset while maintaining key information. In this paper, we develop high-dimensional (HD) simplification method based on eigenvalues eigenfunctions Laplace-B...

Let P be an operator of Dirac type and let D = P 2 be the associated operator of Laplace type. We impose spectral boundary conditions and study the leading heat content coefficients for D.

There is a tradeoff between noise insensitivity and accurate position in edge detection. This paper suggests an adaptive algorithm which takes advantage of both LOG and NonLL filters. Several masks of different size cover a wide band of frequencies under the supervision of the nonlinear Laplace filter. Calculation is dramatically reduced by thresholding. Zero-crossings are tested simultaneously...

We study in this paper a P1 finite element approximation of the solution in H 0 (Ω) of a biharmonic problem. Since the P1 finite element method only leads to an approximate solution in H 0 (Ω), a discrete Laplace operator is used in the numerical scheme. The convergence of the method is shown, for the general case of a solution with H 0 (Ω) regularity, thanks to compactness results and to the u...