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

Numerical Solution of Eighth-order Boundary Value Problems by ...

... Legendre polynomial basis, along with the application of the collocation method. ... Numerical Analysis of the Eigenvalue Problems of Sturm-Liouville and ...

PADE-LEGENDRE METHOD FOR UNCERTAINTY ... - Stacks

The multi-element probabilistic colloca- tion method (ME-PCM): Error analysis and applications. Journal of Computa- tional Physics, 227:9572–9595, 2008. [20] ...

An Extension of the Legendre‐Galerkin Method for Solving Sixth ...

We extend the application of Legendre-Galerkin algorithms for sixth-order elliptic problems with constant coefficients to sixth-order ...

Discontinuous Petrov–Galerkin Approximation of Eigenvalue ...

In particular, a solid analysis has been presented in the case of the Laplace equations [18]; the method has been proved to be locking free for ...

Publications - Uni-DUE

Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity. Computer Methods in ...

IMA Journal of Numerical Analysis

... Petrov--Galerkin methods through approximate symmetrization ... eigenvalue problems . . . . . . . . . . 451--457 A. Jennings Bounds for ...

Legendre transform, better explained (2017) - Hacker News

... use determinants to calculate the eigenvalues? prof-dr-ir 7 months ago | parent | next [–]. Agreed, the way thermodynamics is often taught is such a mess. My ...

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

Maday Y., Quarteroni A. Q1. EDP Sciences. ESAIM: Mathematical Modelling and Numerical Analysis ... applications.In this paper we propose a ...

Convexity Conditions and the Legendre-Fenchel Transform for the ...

Zhao, The Legendre-Fenchel conjugate of the product of two positive definite quadratic forms, SIAM Journal on Matrix Analysis and Applications, 31 (2010), pp.

Legendre spectral methods for the − grad(div) operator

2 The analytical solution of problem (1.1)-(1.2) produces an eigenvalue ... applications such as Helmholtz decomposition and Stokes eigenvalue problem.

Spectral and High-Order Methods with Applications - Purdue Math

... Legendre polynomials . . . . . . . . . . . . . . . 15. 1.4 Jacobi ... analysis for several projection operators which serves as the ...

Uniform boundary observability with Legendre-Galerkin formulations ...

T. Z. Boulmezaoud and J. M. Urquiza, On the eigenvalues of the spectral second order differentiation operator and application to the boundary observability of ...

Applied Analysis Qualifier Syllabus - May 2007

Analysis for Applications II. (3-0). Credit 3. Distributions and ... Dual spaces. Lp has Lq as dual, 1/p+1/q = 1, 1 ≤ p < ∞ ; Hilbert ...

Eigenmode Analysis of Pulsed Neutron Transport Simulations

Our intent is to investigate the eigenvalue structure of the discretized neutron transport equation and to show under some reasonable ...

Fourierization of the Legendre–Galerkin method and a new space ...

Keywords: Fourier-like basis function; Dual-Petrov–Galerkin method; Space–time spectral method; Error analysis ... use a dual-Petrov–Legendre– ...

A Duality Principle for the Legendre Transform - CiteSeerX

unambiguously defines the value of the game, and (ii) Nash equilibrium, meaning that there ... dual (geometric/analytic) interpretation for assigning its value at ...

Legendre functions of fractional degree: transformations and ...

A summary and conclusions appear in §9. 2. Basic facts. The (associated) equation of Legendre is the ordinary differential equation.

Petrov--Galerkin and Chebyshev Collocation Method for Third-Order ...

A Legendre Petrov–Galerkin method. For any nonnegative integer r,. Hr ... For l = 1, we use the dual technique. Let g = ∂x(P∗. N u − u) ...

A Legendre spectral method in time for first-order hyperbolic equations

Convergence analysis of the spectral scheme is given and the L2 ... Petrov--Galerkin and Chebyshev Collocation Method for Third-Order ...

Two Legendre-dual-Petrov-Galerkin algorithms for solving ... - PubMed

Two numerical algorithms based on dual-Petrov-Galerkin method are developed for solving the integrated forms of high odd-order boundary ...