Crippling Strength of Axially Loaded Rods [PDF]
A new empirical formula was developed that holds good for any length and any material of a rod, and agrees well with the results of extensive strength tests.
Natalis, FR
core +1 more source
Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley +1 more source
Super class of implicit extended backward differentiation formulae for the numerical integration of stiff initial value problems [PDF]
Computational Algorithms and Numerical DimensionsAn implicit Superclass of non-block Extended Backward Differentiation Formulae (SEBDF) for the numerical integration of first-order stiff system of Ordinary Differential Equations (ODEs) in Initial Value Problems (IVPs) with optimal stability properties ...
Hamisu Musa, Buhari Alhassan
doaj +1 more source
On rates in Euler's formula for C_0-semigroups [PDF]
, 2013 A. M. Gomilko, Yuri Tomilov
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A Biophysical Approach to the Design of Networks of Communication Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida +2 more
wiley +1 more source
Analysis of the COVID-19 pandemic and prediction with numerical methods
International Journal of Mathematics for IndustryCoronavirus spreads worldwide with various symptoms and strains such as COVID-19, SARS, MERS. Outbreak and prevention of the coronavirus can be studied by many mathematical models like SIR, SEIR and SEIQDR. In this paper, we employed Euler’s method based
M. M. Singh +3 more
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Bending-activated biotensegrity structure enables female Megarhyssa to cross the barrier of Euler's critical force. [PDF]
Sci Adv, 2023 Wen R, Wang Z, Yi J, Hu Y.
europepmc +1 more source
Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros +2 more
wiley +1 more source
On the arithmetic nature of coefficients of multiplicative eta-functions
Вестник Самарского университета: Естественнонаучная серияIn the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
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Multiplicity-weighted Euler's formula for symmetrically arranged space-filling polyhedra. [PDF]
Acta Crystallogr A Found Adv, 2020 Dauter Z, Jaskolski M.
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