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

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. D Kong, J Shen, LL Wang, S Xiang. Advances in ...

A Legendre spectral method based on a hybrid format and its error ...

In this paper, we developed and studied an efficient Legendre spectral method for fourth order eigenvalue problems with the boundary conditions of a simply ...

The Legendre–Fenchel Conjugate of the Product of Two Positive ...

I A M Journal on Matrix Analysis and Applications, vol. 31, no. 4, pp. 1792 ... It is widely used in matrix analysis and eigenvalue optimization [20 ...

the Legendre-Fenchel conjugate of the product of two positive ...

Matrix Analysis & Applications, 31(2010), no.4, pp.1792-1811.) THE LEGENDRE ... It is widely used in matrix analysis and eigenvalue optimization [20 ...

Convex conjugate - Wikipedia

In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to ...

A Legendre--Petrov--Galerkin and Chebyshev Collocation Method ...

Maday, Spectral methods, in Handbook of Numerical Analysis, Vol. V, Techniques of Scientific Computing (Part 2), P. Ciarlet and J. L. Lions, eds., North‐Holland ...

A Legendre-Petrov-Galerkin and Chebyshev Collocation Method for ...

... use a Petrov-Galerkin metho that the test functions differ from the trial ... We plot the eigenvalues for the Legendre collocation method in Fig- ure ...

eigenvalue problem of a weakly singular compact integral operator ...

The analysis for the convergence of Galerkin, petrov-Galerkin, collocation ... In particular, one can use Legendre polynomials as basis functions. In ...

Making sense of the Legendre transform

In this way, we can then start with s as the independent variable, use the inverse function to obtain an unique value ... Because the Legendre transform is a dual ...

Publications -- Jie Shen - Purdue Math

Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics, V. ... (with Li-Lian Wang) Legendre and Chebyshev Dual- ...

what shape is your conjugate? a survey of computational convex ...

Zaslavsky, Stable calculation of the Legendre transform, Journal of. Mathematical Analysis and Applications, 178 (1993), pp. 592–602. [219] A. G. Ramm and ...

A Jacobi Dual-Petrov Galerkin-Jacobi Collocation Method for ...

boundary value problems using a legendre Spectral-Galerkin method,” Computers and Mathematics with Applications, vol. 64, no. 4, pp. 558–571, 2012. 31 E. H. ...

Application of Decoupled Scaled Boundary Finite Element Method ...

A novel element with arbitrary domain shape by using decoupled scaled boundary finite element (DSBFEM) is proposed for eigenvalue analysis of 2D vibrating rods.

Spectral Methods. Algorithms, Analysis and Applications (Springer ...

... Petrov-Galerkin Method ... Legendre Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93. 3.3.1 Legendre-Gauss ...

Analysis of sparse recovery for Legendre expansions using ...

in many applications, it is desirable to reconstruct 𝒄 ... We present an estimate for restricted eigenvalue property for one-dimensional Legendre basis.

On Legendre Transformations and Elementary Catastrophes. - DTIC

Key Words: Legendre transformation, Bifurcation, Optimization,. Catastrophe, Convexity. Work Unit Numbers: 1 (Applied Analysis), 3 (Applications of Mathematics) ...

polar - legendre duality in convex geometry and geometric flows

its potential use in convex geometry and geometric analysis. As a starting point, it derives a theorem of polar - Legendre duality for all convex bodies,.

Table Of Contents - ICOSAHOM 2023

Space-Time Spectral Methods and Eigenvalue Analysis ... Legendre-Petrov-Galerkin Chebyshevspectral collocation method forsecond-order nonlinear differential ...

Gaussian Quadrature and the Eigenvalue Problem

function [x,w] = legendrequad01(n). %. % Generate nodes and weights for shifted. % Legendre-Gauss quadrature on [0,1]. ... Numerical Analysis, vol. 13, pp ...

Discrete Legendre multi-projection methods for Fredholm integral ...

Petrov-Galerkin, collocation, Nyström and degenerate kernel methods are the ... In discrete Legendre multi-collocation method, eigenvalue and eigenvector.