Results 51 to 60 of about 4,785 (188)
Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]
Opuscula Mathematica, 2013 It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
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Multicontinuum Homogenization for Poroelasticity Model
International Journal for Numerical Methods in Fluids, Volume 98, Issue 9, Page 1035-1060, September 2026.This work derives a generalized multicontinuum poroelasticity model using the multicontinuum homogenization method to enable accurate coarse‐grid simulations of coupled flow–mechanics processes in highly heterogeneous porous media. Coupled constraint cell problems are formulated, and the corresponding multicontinuum equations are rigorously derived ...
Dmitry Ammosov +2 more
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On series of Walsh eigenfunctions [PDF]
Proceedings of the American Mathematical Society, 1951 and the boundary conditions u(O) = 0, u(1) = 0, the function g(x) being assumed continuous on 0 ? x < 1. He used the asymptotic formula for the kth eigenfunction (1) uk(x) = (2)1/2 [sin k7rx + (1/k)4k(x)], | k(X) | _ C. Comparing series of these functions with corresponding series of the functions (2) Uk(X) = (2)1/2 sin kirx, he proved that if a ...
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European Journal of Organic Chemistry, Volume 29, Issue 29, 7 August 2026.Molecules with unpaired electrons, also known as open‐shell systems, are key intermediates in several light‐mediated or metal‐catalyzed transformations in organic chemistry. However, modeling this chemistry by density functional theory calculations is challenging.
Nil Sanosa +2 more
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A Comparison Theorem for Eigenfunctions [PDF]
Proceedings of the American Mathematical Society, 1973 A comparison theorem of Sturm's type is obtained for eigenfunctions of general linear elliptic partial differential operators of second order on bounded domains of n-dimensional Euclidean space. The proof is almost immediate from an earlier identity of the author. The theorem is shown to be stronger than some recent theorems of Kurt Kreith.
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Intraday Functional PCA Forecasting of Cryptocurrency Returns
Journal of Forecasting, Volume 45, Issue 5, Page 2186-2212, August 2026.ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
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Parameter control of optical soliton in one‐dimensional photonic crystal
Mathematical Modelling and Analysis, 2010 The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal.
Vyacheslav A. Trofimov +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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Eigenfunctions and nodal sets [PDF]
Surveys in Differential Geometry, 2013 60 pages, 5 figures lifted from the web.
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