Results 91 to 100 of about 48,003 (223)

Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction

International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT The recently published hyper‐reduction method “Empirically Corrected Cluster Cubature” (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations.
Hauke Goldbeck, Stephan Wulfinghoff
wiley   +1 more source

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +1 more source

On sums and reciprocal sum of generalized fibonacci numbers [PDF]

, 2014
The purpose of this report is to analyze the properties of Fibonacci numbers modulo a Lucas numbers. Any Fibonacci number, except the first two, is the sum of the two immediately preceding Fibonacci numbers and closely related to Fibonacci numbers are ...
Mandal, B P
core  

Register‐Based and Stack‐Based Virtual Machines: Which Perform Better in JIT Compilation Scenarios?

Software: Practice and Experience, Volume 55, Issue 11, Page 1896-1910, November 2025.
ABSTRACT Background Just‐In‐Time (JIT) compilation plays a critical role in optimizing the performance of modern virtual machines (VMs). While the architecture of VMs–register‐based or stack‐based–has long been a subject of debate, empirical analysis focusing on JIT compilation performance is relatively sparse. Objective In this study, we aim to answer
Bohuslav Šimek, Dalibor Fiala, Martin Dostal   +2 more
wiley   +1 more source

Mersenne-Horadam identities using generating functions

Karpatsʹkì Matematičnì Publìkacìï, 2020
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
doaj   +1 more source

On hyper-dual generalized Fibonacci numbers

, 2020
In this paper, we define hyper-dual generalized Fibonacci numbers. We give the Binet formulae, the generating functions and some basic identities for these numbers.
N. Ömür, S. Koparal
semanticscholar   +1 more source

Modeling the Crustal Magnetic Field of Mars With Physics‐Informed Neural Networks

Journal of Geophysical Research: Planets, Volume 130, Issue 11, November 2025.
Abstract Satellites orbiting Mars have measured crustal magnetic fields up to two orders of magnitude stronger than those on Earth. Although Mars currently lacks an active global magnetic field, this magnetization preserves a valuable record of the planet's early dynamo activity and crustal evolution.
T. Delcourt, A. Mittelholz
wiley   +1 more source

Some sums related to the terms of generalized Fibonacci autocorrelation sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
In this paper, we give the terms of the generalized Fibonacci autocorrelation sequences defined as and some interesting sums involving terms of these sequences for an odd integer number and nonnegative integers.
Neşe Ömür , Sibel Koparal
doaj   +1 more source

Developing an Accounting Virtual Assistant Through Supervised Fine‐Tuning (SFT) of a Small Language Model (SLM)

Intelligent Systems in Accounting, Finance and Management, Volume 32, Issue 3, September 2025.
ABSTRACT The development of an in‐house accounting bot—an artificial intelligence (AI) assistant capable of generating internally structured bookkeeping double‐entry posting schemes—is explored in this paper. The processes of curating a suitable dataset, selecting, and fine‐tuning a seven‐billion‐parameter language model, categorized as a small ...
Mario Zupan
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source