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The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function

Journal of Function Spaces, 2018
Tensor exponential function is an important function that is widely used. In this paper, tensor Pade´-type approximant (TPTA) is defined by introducing a generalized linear functional for the first time.
Chuanqing Gu, Yong Liu
doaj +1 more source

Quasinormal Modes for Coherent Quantum Black Holes

Fortschritte der Physik, Volume 74, Issue 3, March 2026.
ABSTRACT Coherent quantum black holes are quantum geometries obtained by means of a mean‐field‐like approach to the gravitational interaction. This procedure attenuates the classical spacetime singularities of general relativity by replacing them with integrable singularities in the quantum‐corrected geometry. After discussing some relevant observables
Tommaso Antonelli +3 more
wiley +1 more source

Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays

Advances in Difference Equations, 2020
In this study, a hybrid technique for improving the differential transform method (DTM), namely the modified differential transform method (MDTM) expressed as a combination of the differential transform method, Laplace transforms, and the Padé ...
Seyyedeh Roodabeh Moosavi Noori, Nasir Taghizadeh +1 more
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Matrix‐Free Methods for Finite‐Strain Elasticity: Automatic Code Generation With No Performance Overhead

International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT This study explores matrix‐free tangent evaluations in finite‐strain elasticity with the use of automatically generated code for the quadrature‐point level calculations. The code generation is done via automatic differentiation (AD) with AceGen.
Michał Wichrowski +4 more
wiley +1 more source

Inhomogeneous broadening in the time domain

Nanophotonics, Volume 14, Issue 23, Page 4177-4196, 02 November 2025.
Abstract Forty‐five years after the initial attempts – first by Efimov–Khitrov in 1979, then by Brendel–Bormann in 1992 – we present a comprehensive, causal, and physically consistent framework for modeling the dielectric function with inhomogeneous (non‐Lorentzian) broadening, where scattering becomes frequency‐ or time‐dependent.
Ludmila J. Prokopeva, Alexander V. Kildishev +1 more
wiley +1 more source

p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant

International Journal of Mathematics and Mathematical Sciences, 2019
In this paper, we have considered the generalized growth (p,q-order and p,q-type) in terms of coefficient of the development pnn given in the (n, n)-th Newton-Padé approximant of meromorphic function.
Mohammed Harfaoui, Loubna Lakhmaili, Abdellah Mourassil +2 more
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Multiderivative methods for nonlinear second order boundary value problems [PDF]

, 1985
Second, fourth and sixth order methods are developed and analysed for the numerical solution of non-linear second order boundary value problems. The methods arise from a two-step recurrence relation involving exponential terms, these being replaced by ...
Tirmizi, S I A, Twizell, E H
core

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger +2 more
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Uncovering Hidden Patterns: Approximate Resurgent Resummation from Truncated Series

Mathematics
We analyze truncated series generated as divergent formal solutions of non-linear ordinary differential equations. Motivating the study is a specific non-linear, first-order differential equation, which is the basis of the resurgent formulation of ...
Alessio Maiezza, Juan Carlos Vasquez
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Joint Constraints on the Hubble Constant, Spatial Curvature, and Sound Horizon from the Late-time Universe with Cosmography

The Astrophysical Journal, 2023
In this paper, using the latest Pantheon+ sample of Type Ia supernovae, baryon acoustic oscillation measurements, and observational Hubble data, we carry out a joint constraint on the Hubble constant H _0 , the spatial curvature Ω _K , and the sound ...
Kaituo Zhang +4 more
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