Electronic Structure Modelling of Singlet Fission in Organic Photovoltaics [PDF]
, 2018 Singlet fission is a multiple-exciton-generation process found in organic materials that could help to enhance the efficiency of future photovoltaic devices, by overcoming the Shockley-Queisser limit.
Turban, David
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Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang +3 more
wiley +1 more source
A short survey on Kantorovich-like theorems for Newton's method
, 2015 We survey influential quantitative results on the convergence of the Newton iterator towards simple roots of continuously differentiable maps defined over Banach spaces.
Lecerf, Grégoire, Saadé, Joelle
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Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10669-10677, 30 July 2025.ABSTRACT In this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Marco Cantarini, Danilo Costarelli
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A solution of one dimensional Fredholm integral equations of the second kind [PDF]
Fredholm integral equations of the second kind of the one dimension are numerically solved. It is proven that the numerical solution converges to the exact solution of the integral equation.
Gabrielsen, R. E.
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Using decomposition of the nonlinear operator for solving non‐differentiable problems
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba +3 more
wiley +1 more source
Infinite dimensional multipoint methods and the solution of two point boundary value problems [PDF]
Infinite dimensional multipoint methods and solution of two point boundary value ...
Bosarge, W. E., Jr., Falb, P. L.
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Two proofs of the kantorovich inequality and some generalizations [PDF]
, 1987 Two elementary probabilistic proofs of the Kantorovich inequality are given and various generalizations and inequalities are ...
Bühler, Wolfgang J.
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VICTOR VALENTINOVICH NOVOZHILOV: A MARXIAN MATHEMATICAL ECONOMIST—IN HONOR OF THE 120th ANNIVERSARY OF HIS BIRTH [PDF]
, 2012 This article attempts to present the important contribution of Victor V. Novozhilov to Marxian economic theory, the proof that the theory of optimal planning is the proper field of general economic equilibrium theory and that this theory, by fully ...
Klaus Hagendorf
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Approximation Theorems for Complex $$\alpha $$-Bernstein–Kantorovich Operators
Results in MathematicsAbstractIn this paper, we introduce the complex form of$$\alpha $$α-Bernstein–Kantorovich operators. Respectively, upper quantitative estimates for the complex$$\alpha $$α-Bernstein–Kantorovich operator and its derivatives, Voronovskaya type result and the exact order of approximation of these operators are studied.
Kara, M., Mahmudov, N. I.
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