scholarly journals A Note on Some Numerical Approaches to Solve aθ˙Neuron Networks Model

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Samir Kumar Bhowmik ◽  
Feras M. Al Faqih ◽  
Md. Nazmul Islam
Keyword(s):  
Discrete System ◽  
Neuron Model ◽  
Time Integration ◽  
Time Discretization ◽  
Neuron Networks ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Engineering Models ◽  
Theta Neuron ◽  
Numerical Approaches

Space time integration plays an important role in analyzing scientific and engineering models. In this paper, we consider an integrodifferential equation that comes from modelingθ˙neuron networks. Here, we investigate various schemes for time discretization of a theta-neuron model. We use collocation and midpoint quadrature formula for space integration and then apply various time integration schemes to get a full discrete system. We present some computational results to demonstrate the schemes.

EIGENFREQUENCY SHIFT IN THE NEWMARK TIME INTEGRATOR

2006 ◽  
Vol 06 (03) ◽  
pp. 431-436 ◽  
Author(s):  
HARM ASKES ◽  
ALEKSANDAR PAVIC
Keyword(s):  
Time Integration ◽  
Excitation Frequency ◽  
Continuous System ◽  
Time Discretization ◽  
Forced Vibrations ◽  
Technical Note ◽  
Time Step ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Numerical Time Integration

This technical note aims to clarify the influence of numerical time integration schemes (such as the Newmark method) on the eigenfrequency of the system. With a straightforward analysis of three consecutive time instants it is shown that the eigenfrequency of the time-discretized system is different from the eigenfrequency of the original (continuous) system, and that this frequency shift depends on the magnitude of the applied time step. As such, it affects both free and forced vibrations. In particular, for the analysis of forced vibrations at resonance the excitation frequency must be matched with the eigenfrequency of the time-discretized system rather than the eigenfrequency of the system prior to time discretization.

scholarly journals Damaged behavior under plane stress

2011 ◽  
pp. 341-368
Author(s):  
Thomas Paris ◽  
Khémaïs Saanouni
Keyword(s):  
Plane Stress ◽  
Constitutive Equations ◽  
Stress Condition ◽  
Time Integration ◽  
Reference Case ◽  
Plane Stress Condition ◽  
Integration Schemes ◽  
Hyperbolic Sine ◽  
Time Integration Schemes ◽  
Fully Coupled

This paper deals with the numerical treatment of "advanced" elasto-viscoplasticdamage constitutive equations in the particular case of plane stress. The viscoplastic constitutive equations account for the mixed isotropic and kinematic non linear hardening and are fully coupled with the isotropic ductile damage. The viscous effect is indifferently described by a power function (Norton type) or an hyperbolic sine function. Different time integration schemes are used and compared to each other assuming plane stress condition, widely used when dealing with shell structures as well as to the 3D reference case.

3D nonlinear MHD calculations using implicit and explicit time integration schemes

1986 ◽  
Vol 65 (2) ◽  
pp. 253-272 ◽  
Author(s):  
L. Garcia ◽  
H.R. Hicks ◽  
B.A. Carreras ◽  
L.A. Charlton ◽  
J.A. Holmes
Keyword(s):  
Time Integration ◽  
Explicit Time Integration ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Implicit And Explicit
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