Results 101 to 110 of about 46,179 (201)

On Euler numbers, polynomials and related p-adic integrals

Journal of Number Theory, 2009
Let \(p\) be a fixed odd prime. Let \(Z_{p}, Q_{p}, \mathbb C\) and \(C_{p}\) be denote the ring of \(p\)-adic rational integers, the field of \(p\)-adic rational numbers, the complex number field and the completion of the algebraic closure of \(Q_{p}\), respectively. Let \(v_{p}\) be the normalized exponential valuation of \(C_{p}\) with \(|p|_{p}=p^{-
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Anharmonic polynomial generalizations of the numbers of Bernoulli and Euler [PDF]

Transactions of the American Mathematical Society, 1922
We consider twelve infinite systems of polynomials in z which for z = 1 degenerate either to the numbers of Bernoulli or Euler, or to others simply dependent upon these. The first part proceeds from the definition of anharmonic polynomials to the specific twelve systems discussed; the second presents an adaptation of the symbolic calculus of Blissard ...
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A Comparative Study of Context‐Aware Modeling Approaches for Specific Heat Load Profiles for Residential Consumers in District Heating Simulations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Accurate, time‐resolved heat load profiles are essential for realistic district heating simulations, enabling optimized network operation and long‐term transformation planning. In this work, we systematically evaluate modeling approaches for generating such profiles, comparing data‐driven methods (e.g., regression and machine learning) with ...
Johanna Heidrich, Nicolas Krummenauer, Jan Mohring   +2 more
wiley   +1 more source

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
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Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou, Meiting Wang, Kejia Pan, Yin Yang, Xiaofeng Yang   +4 more
wiley   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

What If Each Voxel Were Measured With a Different Diffusion Protocol?

Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 2277-2290, April 2026.
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho, Gregory Lemberskiy, Ante Zhu, Hong‐Hsi Lee, Nastaren Abad, Thomas K. F. Foo, Els Fieremans, Dmitry S. Novikov   +7 more
wiley   +1 more source

News shocks, consumer confidence and business cycles

Economica, Volume 93, Issue 370, Page 648-676, April 2026.
Abstract We study the causal effects of consumer sentiment shocks on macroeconomic aggregates. By constructing a novel instrument based on major non‐economic news shocks in the USA over 1969–2022, and opinion polls around these events, we identify exogenous changes in consumer confidence.
Syed M. Hussain, Zara Liaqat
wiley   +1 more source

Note on -Extensions of Euler Numbers and Polynomials of Higher Order

Journal of Inequalities and Applications, 2008
In 2007, Ozden et al. constructed generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on .
Jang Lee-Chae, Ryoo Cheon-Seoung, Kim Taekyun   +2 more
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