Results 181 to 190 of about 112,078 (333)
De-localization of Bond Eigenfunctions in π-Electronic Systems. I. Proposal of an Approximate Method for the Calculation of the π-Electronic States of Molecules [PDF]
, 1962 Shozaburo Takekiyo
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On Eigenfunction Expansions [PDF]
Proceedings of the National Academy of Sciences, 1953 openaire +3 more sources
A bounded dynamical network of curves and the stability of its steady states
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7906-7917, 15 May 2025.In this article, we study the dynamic behavior of a network that consists of curves that are in motion and bounded. We first focus on the construction of the model which is a system of nonlinear partial differential equations (PDEs). This system is subject to four conditions: angle and intersection conditions between the curves at the point that they ...
Ioannis Dassios +2 more
wiley +1 more source
Exponential estimates for quantum graphs
Electronic Journal of Differential Equations, 2018 The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrodinger operators on infinite metric graphs.
Setenay Akduman, Alexander Pankov
doaj
Brownian bridges for contained random walks
AIChE Journal, Volume 71, Issue 5, May 2025.Abstract Using linear operator techniques, we demonstrate an efficient method for investigating rare events in stochastic processes. Specifically, we examine contained trajectories, which are continuous random walks that only leave a specified region of phase space after a set period of time T.
George Curtis +2 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 We study a question on stability and instability of the basis property of a system of eigenfunctions of the Sturm - Liouville operator, with an integral perturbation of anti-periodic type on the boundary conditions.
Nurlan S. Imanbaev
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De-localization of Bond Eigenfunctions in π-Electronic Systems. III. Non-Empirical Calculation of the π-Electronic States of the Vinyl Chloride Molecule [PDF]
, 1962 Shozaburo Takekiyo
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Numerical Methods for Partial Differential Equations, Volume 41, Issue 3, May 2025.ABSTRACT We present a model reduction approach for the real‐time solution of time‐dependent nonlinear partial differential equations (PDEs) with parametric dependencies. A major challenge in constructing efficient and accurate reduced‐order models for nonlinear PDEs is the efficient treatment of nonlinear terms.
Ngoc Cuong Nguyen
wiley +1 more source
Neural Representation of Shape-Dependent Laplacian Eigenfunctions [PDF]
arXivThe eigenfunctions of the Laplace operator are essential in mathematical physics, engineering, and geometry processing. Typically, these are computed by discretizing the domain and performing eigendecomposition, tying the results to a specific mesh. However, this method is unsuitable for continuously-parameterized shapes.
arxiv