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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
Imaginary-Scaling versus Indefinite-Metric Quantization of the Pais-Uhlenbeck Oscillator
Higher derivative theories ghosts indefinite metric Pais-Uhlenbeck Oscillator
2011/9/30
Abstract: Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic ma...
Ultrathin optical switch based on a liquid crystal/silver nanoparticles mixture as a tunable indefinite medium
Ultrathin optical switch liquid crystal silver nanoparticles tunable indefinite medium
2011/8/2
Abstract: We predict that a liquid crystal/silver nanoparticles mixture can be designed so that, in a frequency range, its effective ordinary and extraordinary permittivities have real parts of differ...
Homogenization of Steklov spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function ...
Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds
η-Einstein lightlike hypersurfaces Indefinite Kenmotsu manifold Relative nullity foliation Screen distribution
2011/4/6
This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are ob...
Slant lightlike submanifolds of indefinite Kenmotsu manifolds
Degenerate metric Slant lightlike submanifolds Kenmotsu manifold
2011/4/6
In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide a non-trivial example and obtain necessary and sufficient conditions for the exis...
A Geometric Representation of Improper Indefinite Affine Spheres with Singularities
Improper affine spheres Area distances Affine symmetry sets
2011/1/20
We consider in this paper a class of improper indefinite affine spheres with singularities in R3 called indefinite improper affine maps.We propose a representation of surfaces in this class by a pair ...
Transversal lightlike submanifolds of indefinite sasakian manifolds
Indefinite Sasakian Manifold Lightlike Submanifold Radical Transversal Lightlike Submanifold Transversal Lightlike Submanifold
2010/12/21
We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficie...
Minimal Lagrangian submanifolds in indefinite complex space
Lagrangian submanifolds complex space
2010/11/22
Consider the complex linear space C^n endowed with the natural pseudo-Hermitian form <<.,.>>_p of signature p. This yields both a pseudo-Riemannian and a symplectic structure on C^n. We prove that th...
Generalized Inequalities for Indefinite Forms
Inequalities Holder Indefinite forms Reverse Inequalities Hö lder's Inequality Generalized inequalities
2008/7/1
We establish abstract inequalities that give, as particular cases, many previously established Hölder-like inequalities. In addition to unifying the proofs of these inequalities, which, in most c...
On Chaotic Order of Indefinite Type
Chaotic order (Indefinite) Inner product space Furuta inequality of indefinite type
2008/6/27
On Chaotic Order of Indefinite Type.
Killing and Geodesic Lightlike Hypersurfaces of Indefinite Sasakian Manifolds
Lightlike Hypersurfaces Indefinite Sasakian Screen Distribution
2010/2/25
In this paper, we study a lightlike hypersurface of indefinite Sasakian manifold, tangent to the structure vector field x. Theorems on parallel and Killing distributions are obtained. Necessary and su...
On Non-Existence of Lightlike Hypersurfaces of Indefinite Kenmotsu Space Form
Lightlike hypersurface Kenmotsu space form
2010/2/25
In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.