Eigenvalue analysis and applications of the Legendre dual|Petrov ...

Analysis on Manifolds via the Laplacian - Mathematics and Statistics

The following references were important sources for these notes: • Eigenvalues in Riemannian geometry. By I. Chavel. • Old and new aspects in Spectral Geometry.

Space-Time Spectral Methods and Eigenvalue Analysis of Related ...

In most applications, spectral methods are employed in spatial ... Legendre dual-Petrov-Galerkin spectral method (LDPG). While the ...

Introductory functional analysis with applications

... Legendre, Hermite and Laguerre Polynomials 175. 3.8 Representation of ... dual space of a vector space X 106. Dual space of a normed space X 120. Norm of ...

A Duality Principle for the Legendre Transform - Heldermann-Verlag

analysis of this question has revealed that the Legendre transform admits a dual. (geometric/analytic) interpretation for assigning its value at a point that ...

Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal ...

The analysis was repeated with Legendre polynomials as trial functions. The ... From each of the eigenvalue matrices [W], the conditioning numbers were ...

adespatial: Multivariate Multiscale Spatial Analysis

Several methods are based on the use of a spatial weighting matrix and its eigenvector decomposition (Moran's Eigenvectors Maps, MEM). Several ...

Modal Analysis of Fluid Flows: An Overview | AIAA Journal

... Petrov–Galerkin model [90]. Eigenvalue Realization Algorithm. If we are only ... Modal Analysis of Fluid Flows: Applications and Outlook · Kunihiko Taira ...

Discrete Legendre Projection Methods for the Eigenvalue Problem ...

Legendre spectral approximation method for eigenvalue problem of a compact integral operator is developed in [7]. In this paper, we use discrete Legendre ...

discrete legendre transform: Topics by Science.gov

... eigenvalues), a topic that has wide applications in particle physics and beyond. ... Fourier Analysis and Applications, vol. 14, pp. 838–858, 2008. 11. D. J. ...

Eigenvalue analysis schemes and boundary formulations - WIT Press

twice and the method is referred to the Dual Reciprocity Method [8]. Unknown ... Legendre functions respectively. (r, 0, ) is the spherical coordinate ...

Insight into delay based reservoir computing via eigenvalue analysis

... use finite products of normalized Legendre polynomials ... Eigenvalue spectrum of transition matrix of dual Sierpinski gaskets and its applications ...

Methods of Theoretical Physics: I

In our analysis in section 3, we made the specialisation from the Associated Legendre ... We must now use the principal-value prescription to give meaning to the ...

A Duality Principle for the Legendre Transform

A closer analysis of this question has revealed that the Legendre transform admits a dual (geometric/analytic) interpretation for assigning its value at a point ...

Math 5403 - Nikola Petrov - OU Math

If time permits, we may discuss applications to eigenvalue problems and/or ... Legendre transform: a definition of a convex function from R to R (by ...

Intuition for Legendre transformation in Stochastics : r/math - Reddit

In information geometry, the legendre transform can be used to transform between primal and dual coordinates and legendre duals of convex ...

FEAST for Differential Eigenvalue Problems | SIAM Journal on ...

Although it is not difficult to adapt Algorithm 4.1 to an operator analogue of FEAST that uses dual projection, we focus on the implementation and analysis of ...

Convergence of Legendre and Chebyshev multiwavelets in Petrov ...

IMA journal of numerical analysis, 24(1), 157-177. [11] Jiang, Z. H. (1992). W. Schaufelberger, block Pulse Functions and Their. Applications in Control Systems ...

Spectral Analysis of Continuous FEM for Hyperbolic PDEs - Hal-Inria

In the following we will use the wording. • basic elements for Lagrangian polynomials on equispaced points with Gauss–Legendre quadrature;. • ...

THE LEGENDRE-FENCHEL CONJUGATE OF THE PRODUCT OF ...

Matrix Analysis & Applications, 31(2010), no.4, pp.1792-1811.)
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Principal Component Analysis, Second Edition - Index of /

... applications in atmospheric science and reflects my long-standing ... eigenvalue-eigenvector problem for a positive-semidefinite.