Results 41 to 50 of about 6,739 (179)
Estimates for Dirichlet Eigenfunctions [PDF]
Journal of the London Mathematical Society, 1999 Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
van den Berg, M, Bolthausen, E
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Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електронікаActuality. Recent decades have seen a rapid development of photonics. Therefore, scientific interest in the optical range of electromagnetic radiation continues to be relevant.
О.V. Kazanko +3 more
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Two New Integral Transforms and Their Applications [PDF]
, 1972 This thesis is in two parts. In Part I the independent variable θ in the trigonometric form of Legendre's equation is extended to the range ( -∞, ∞).
Newhall, X X (Nicholas)
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Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, EarlyView.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
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Basis Properties of Fučík Eigenfunctions
Analysis Mathematica, 2022 We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
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Modeling of turbulent fluid flow based on the solution of the Mathieu equation
Вестник Дагестанского государственного технического университета: Технические наукиObjective. This work examines the problem of fluid flow simulation in a turbulent regime. The main reasons why turbulent flow occurs are due to the existence of high velocities of movement in fluids; besides that, there may be obstacles or changes in the
V. V. Garbuzov, A. P. Preobrazhensky
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Explicit closed-form expression for eigenfunction norms [PDF]
, 2001 An analytical expression is presented for calculating the eigenfunction norm for linear second-order Sturm-Liouville problems. This formula can be used to explicitly norm eigenfunctions.
Lockshin, J.L., J.L. Lockshin
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
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2D Piecewise Linear Scalar Fields with Invertible Integral Lines
Computer Graphics Forum, EarlyView.Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben +3 more
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Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions [PDF]
Mathematics Interdisciplinary Research, 2016 In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second ...
Seyfollah Mosazadeh
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