Results 11 to 20 of about 91,796 (181)
TASK Quarterly, 2008 A new iterative non-overlapping domain decomposition method is proposed for solving the one- and two-dimensional Helmholtz equation on parallel computers. The spectral collocation method is applied to solve the Helmholtz equation in each subdomain based
SŁAWOMIR KUBACKI, ANDRZEJ BOGUSŁAWSKI
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Dirichlet Polynomials and Entropy [PDF]
Entropy, 2021 A Dirichlet polynomial d in one variable y is a function of the form d(y)=anny+⋯+a22y+a11y+a00y for some n,a0,…,an∈N. We will show how to think of a Dirichlet polynomial as a set-theoretic bundle, and thus as an empirical distribution. We can then consider the Shannon entropy H(d) of the corresponding probability distribution, and we define its length (
David I. Spivak, Timothy Hosgood
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Dirichlet duality and the nonlinear Dirichlet problem [PDF]
Communications on Pure and Applied Mathematics, 2008 AbstractWe study the Dirichlet problem for fully nonlinear, degenerate elliptic equations of the form F(Hess u) = 0 on a smoothly bounded domain Ω ⋐ ℝn. In our approach the equation is replaced by a subset F ⊂ Sym2(ℝn) of the symmetric n × n matrices with ∂F ⊆ {F = 0}.
Harvey, F. Reese, Lawson, H. Blaine jun.
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Dirichlet approximation and universal Dirichlet series
Proceedings of the American Mathematical Society, 2017 We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and to the chordal one as well, analogous to classical results of Runge, Mergelyan and Vituškin. We also strengthen the notion of universal Dirichlet series.
Aron, R.M. +4 more
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Alternative Dirichlet Priors for Estimating Entropy via a Power Sum Functional
Mathematics, 2021 Entropy is a functional of probability and is a measurement of information contained in a system; however, the practical problem of estimating entropy in applied settings remains a challenging and relevant problem. The Dirichlet prior is a popular choice
Tanita Botha +2 more
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Mathematics, 2022 In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
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Smoothed Dirichlet Distribution
Journal of Statistical Theory and Applications (JSTA), 2023 When the cells are ordinal in the multinomial distribution, i.e., when cells have a natural ordering, guaranteeing that the borrowing information among neighboring cells makes sense conceptually.
Lahiru Wickramasinghe +2 more
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Dirichlet-Ford domains and Double Dirichlet domains [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2016 We continue investigations started by Lakeland on Fuchsian and Kleinian groups which have a Dirichlet fundamental domain that also is a Ford domain in the upper half-space model of hyperbolic $2$- and $3$-space, or which have a Dirichlet domain with multiple centers. Such domains are called DF-domains and Double Dirichlet domains respectively.
Jespers, E. +4 more
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Relations between Limit-Point and Dirichlet Properties of Second-Order Difference Operators
Advances in Difference Equations, 2007 We consider second-order difference expressions, with complex coefficients, of the form wn−1[−Δ(pn−1Δxn−1)+qnxn] acting on infinite sequences.
A. Delil
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Edinburgh Mathematical Notes, 1944 The integrals referred to here are those given by the followingTheorem:where the integration is extended overand l > 0, m > 0, n > 0, a ≤ a ≤ b < ∞.
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