Spectral gaps of Schrödinger operators with periodic singular potentials [PDF]
, 2009 By using quasi-derivatives we develop a Fourier method for studying the spectral gaps of one dimensional Schrodinger operators with periodic singular potentials v.
Djakov, Plamen Borissov +1 more
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Equivariant spectral triples on the quantum SU(2) group [PDF]
, 2002 We characterize all equivariant odd spectral triples for the quantum SU(2) group acting on its L_2-space and having a nontrivial Chern character. It is shown that the dimension of an equivariant spectral triple is at least three, and given any element of
Chakraborty, Partha Sarathi +1 more
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Modeling seismic wave propagation and amplification in 1D/2D/3D linear and nonlinear unbounded media [PDF]
, 2010 To analyze seismic wave propagation in geological structures, it is possible to consider various numerical approaches: the finite difference method, the spectral element method, the boundary element method, the finite element method, the finite volume ...
Bard P. Y. +19 more
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Development of numerical technique by Galerkin approach of spectral element method for hybrid beam
AIP Advances, 2016 This paper introduces a Galerkin spectral element method (GSEM) for hybrid beam. The considered beam model depends upon the first order shear deformation theory (FSDT) is taken into account.
Muhammad Nauman Bashir, M. O. Ahmad
doaj +1 more source
Time domain room acoustic simulations using the spectral element method.
Journal of the Acoustical Society of America, 2019 This paper presents a wave-based numerical scheme based on a spectral element method, coupled with an implicit-explicit Runge-Kutta time stepping method, for simulating room acoustics in the time domain.
F. Pind +5 more
semanticscholar +1 more source
The spectral-element method in seismology [PDF]
, 2005 We present the main properties of the spectral-element method, which is well suited for numerical calculations of synthetic seismograms for three-dimensional Earth models. The technique is based upon a weak formulation of the equations of motion and combines the flexibility of a finite-element method with the accuracy of a pseudospectral method.
Komatitsch, Dimitri +2 more
openaire +2 more sources
Fluorescent Excitation of Spectral Lines in Planetary Nebulae [PDF]
, 2000 Fluorescent excitation of spectral lines is demonstrated as a function of temperature-luminosity and the distance of the emitting region from the central stars of planetary nebulae.
Ahern F. J. +12 more
core +3 more sources
A Parallel Spectral Element Method for Fractional Lorenz System
Discrete Dynamics in Nature and Society, 2015 We provide a parallel spectral element method for the fractional Lorenz system numerically. The detailed construction and implementation of the method are presented.
Yanhui Su
doaj +1 more source
Spectral/hp element methods: recent developments, applications, and perspectives [PDF]
, 2018 The spectral/hp element method combines the geometric flexibility of the classical h-type finite element technique with the desirable numerical properties of spectral methods, employing high-degree piecewise polynomial basis functions on coarse finite ...
Cantwell, Chris D. +5 more
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Mimetic Spectral Element Method for Anisotropic Diffusion [PDF]
, 2018 This paper addresses the topological structure of steady, anisotropic, inhomogeneous diffusion problems. Two discrete formulations: a) mixed and b) direct formulations are discussed. Differential operators are represented by sparse incidence matrices, while weighted mass matrices play the role of metric-dependent Hodge matrices.
Gerritsma, Marc +3 more
openaire +3 more sources