Results 291 to 300 of about 8,751,367 (357)

FINITE DIFFERENCE METHOD FOR SOLVING THE NONLINEAR DYNAMIC EQUATION OF UNDERWATER TOWED SYSTEM

, 2014
A wide body of work exists that describes numerical solution for the nonlinear system of underwater towed system. Many researchers usually divide the tow cable with less number elements for the consideration of computational time.
Zhi-jiang Yuan, J. Liang-an, Wei Chi, Hengdou Tian   +3 more
semanticscholar   +1 more source

The Equations of Fluid Dynamics [PDF]

, 1997
In this chapter we present the governing equations for the dynamics of a compressible material, such as a gas, along with closure conditions in the form of equations of state. Equations of state are statements about the nature of the material in question and require some notions from Thermodynamics.
openaire   +1 more source

New Discrete-Time ZNN Models for Least-Squares Solution of Dynamic Linear Equation System With Time-Varying Rank-Deficient Coefficient

IEEE Transactions on Neural Networks and Learning Systems, 2018
In this brief, a new one-step-ahead numerical differentiation rule called six-instant $g$ -cube finite difference (6I $g$ CFD) formula is proposed for the first-order derivative approximation with higher precision than existing finite difference ...
Binbin Qiu, Yunong Zhang, Zhi Yang
semanticscholar   +1 more source

The Dynamical Equations of Cosmology [PDF]

, 2021
The Einstein equations applied to the FLRW metric give basic dynamical equations for cosmology, specifically for the scale factor. The dynamical equations depend on the physical properties of the constituents of the cosmic fluid, which we take to be vacuum or dark energy, cold matter, radiation, and an effective curvature. Together with the behavior of
Ronald J. Adler, Ronald J. Adler
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Dynamic scaling of growing interfaces.

Physical Review Letters, 1986
A model is proposed for the evolution of the profile of a growing interface. The deterministic growth is solved exactly, and exhibits nontrivial relaxation patterns.
M. Kardar, G. Parisi, Yi-cheng Zhang
semanticscholar   +1 more source

Dynamics of a Difference Equation

2009 Fifth International Conference on Natural Computation, 2009
In this paper, the global stability, the periodic character, and the persistence of a rational difference equation are investigated.
Gengrong Zhang, Ke-song Yan, Fan-ping Zeng, Xinhe Liu, Qi Wang   +4 more
openaire   +2 more sources

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Journal of nonlinear science, 2014
The Koopman operator is a linear but infinite-dimensional operator that governs the evolution of scalar observables defined on the state space of an autonomous dynamical system and is a powerful tool for the analysis and decomposition of nonlinear ...
Matthew O. Williams, I. Kevrekidis, C. Rowley   +2 more
semanticscholar   +1 more source

Efficient dynamical equations for gyrostats

Journal of Guidance, Control, and Dynamics, 2001
To formulate equations of motion, the analyst must choose constants that characterize the mass distribution of system components. Traditionally, one chooses as constants the mass of each particle and the mass and central inertia scalars of each rigid body.
Keith Reckdahl, Paul C. Mitiguy
openaire   +2 more sources

A Bayesian Approach for Data-Driven Dynamic Equation Discovery

Journal of Agricultural Biological and Environmental Statistics, 2022
Joshua S. North, C. Wikle, E. Schliep
semanticscholar   +1 more source

Nabla Dynamic Equations

2003
If \( \mathbb{T} \) has a right-scattered minimum m, define \( \mathbb{T}_\kappa : = \mathbb{T} - \{ m\} \) ; otherwise, set \( \mathbb{T}_\kappa = \mathbb{T} \) . The backwards graininess \( \nu :\mathbb{T}_\kappa \to \mathbb{R}_0^ + \) is defined by $$ \nu (t) = t - \rho (t).
Douglas R. Anderson, HoaiNam Tran, Lynn Erbe, Allan Peterson, John Bullock   +4 more
openaire   +2 more sources