An GNU-OCTAVE implementation of Jacobi–Davidson style QR method for interior eigenvalue calculations using plane-wave expansion in photonic crystal structures
Sign Up to like & getrecommendations! Published in 2018 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-018-1352-0
Abstract: We describe a GNU-OCTAVE implementation of the Jacobi–Davidson style QR method for the estimation of interior eigenvalues in photonic crystal structures. The photonic eigenproblem is reduced to a matrix eigenproblem using plane-wave expansion. We show… read more here.
Keywords: jacobi davidson; octave implementation; jacobi; gnu octave ... See more keywords
Weighted approximation for the generalized discrete Fourier–Jacobi transform on space $$L_{p}({\mathbb {T}})$$
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pseudo-differential Operators and Applications"
DOI: 10.1007/s11868-020-00368-6
Abstract: The purpose of this work is to prove an analog of the classical Titchmarsh’s theorem (Introduction to the theory of Fourier integrals, Oxford University Press, Oxford, 1937, Theorem 84) and Younis’s Theorem (Fourier transform of… read more here.
Keywords: weighted approximation; jacobi; fourier jacobi; jacobi transform ... See more keywords
Exponential convergence of solutions for random Hamilton–Jacobi equations
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DOI: 10.1007/s40072-019-00153-7
Abstract: We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the unique stationary solution. Combined with the results… read more here.
Keywords: solutions random; convergence solutions; exponential convergence; jacobi equations ... See more keywords
Invariant metric on the extended Siegel–Jacobi upper half space
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DOI: 10.1016/j.geomphys.2020.104049
Abstract: Abstract The real Jacobi group G n J ( R ) , defined as the semidirect product of the Heisenberg group H n ( R ) with the symplectic group Sp ( n , R… read more here.
Keywords: jacobi; half space; invariant metric; jacobi upper ... See more keywords
Hamilton Jacobi Isaacs equations for differential games with asymmetric information on probabilistic initial condition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.012
Abstract: Abstract We investigate Hamilton Jacobi Isaacs equations associated to a two-players zero-sum differential game with incomplete information. The first player has complete information on the initial state of the game while the second player has… read more here.
Keywords: information; jacobi; jacobi isaacs; hamilton jacobi ... See more keywords
On a theta product of Jacobi and its applications to q-gamma products
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.11.051
Abstract: We give a new proof for a product formula of Jacobi which turns out to be equivalent to a $q$-trigonometric product which was stated without proof by Gosper. We apply this formula to derive a… read more here.
Keywords: jacobi; product jacobi; product; applications gamma ... See more keywords
On newforms of half-integral weight and Jacobi forms
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DOI: 10.1016/j.jnt.2018.05.002
Abstract: Abstract Let N be an odd and square-free integer. Let α be a positive integer with α = 2 or α = 5 . Let χ modulo N be a Dirichlet character and let χ… read more here.
Keywords: cusp forms; newforms half; integral weight; jacobi ... See more keywords
On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies
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DOI: 10.1016/j.laa.2017.03.003
Abstract: Abstract The paper analyzes special cyclic Jacobi methods for symmetric matrices of order 4. Only those cyclic pivot strategies that enable full parallelization of the method are considered. These strategies, unlike the serial pivot strategies,… read more here.
Keywords: order; parallel strategies; method; jacobi ... See more keywords
La vérité saisie. L'enjeu de la perception entre Hegel et Jacobi
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DOI: 10.1017/s0012217323000069
Abstract: Résumé Le rapport qu'a entretenu G. W. F. Hegel avec la pensée de F. H. Jacobi a été constant. Il s'attarde avant tout à la question du savoir, de la vérité et de sa saisie,… read more here.
Keywords: saisie; jacobi; rit saisie; hegel ... See more keywords
Lowpass filters approximation based on modified Jacobi polynomials
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DOI: 10.1049/el.2016.3036
Abstract: The orthogonal Jacobi polynomials are not suitable for the characteristic function in the continuous- and discrete-time filter designs because they are not fulfilling the basic conditions: to be pure odd or to be pure even.… read more here.
Keywords: modified jacobi; approximation based; filters approximation; jacobi ... See more keywords
Symmetric polynomials, generalized Jacobi-Trudi identities andτ-functions
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DOI: 10.1063/1.5051546
Abstract: An element [Φ]∈GrnH+,F of the Grassmannian of n-dimensional subspaces of the Hardy space H+=H2, extended over the field F = C(x1, …, xn), may be associated to any polynomial basis ϕ = {ϕ0, ϕ1, ⋯… read more here.
Keywords: jacobi trudi; generalized jacobi; polynomials generalized; trudi identities ... See more keywords