Numerical evaluation of time-dependent reflected intensity from an anisotropically scattering semi-infinite atmosphere

1986 ◽  
Vol 35 (1) ◽  
pp. 71-78 ◽  
Author(s):  
B.D. Ganapol ◽  
M. Matsumoto
Keyword(s):  
Numerical Evaluation ◽  
Time Dependent

scholarly journals Spectral form factor for time-dependent matrix model

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Arkaprava Mukherjee ◽  
Shinobu Hikami
Keyword(s):  
Form Factor ◽  
Matrix Model ◽  
Random Matrix ◽  
Quantum Chaos ◽  
Numerical Evaluation ◽  
Time Dependent ◽  
Spectral Form ◽  
Random Matrix Model ◽  
Large Size ◽  
Analytic Expression

Abstract The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenberg time. This model is converted to two matrix model, made of M1 and M2. The numerical evaluation for finite N and analytic expression in the large N are compared for the spectral form factor.

On the time-dependent occupancy and backlog distributions for the GI/G/∞ queue

1999 ◽  
Vol 36 (2) ◽  
pp. 558-569 ◽  
Author(s):  
H. Ayhan ◽  
J. Limon-Robles ◽  
M. A. Wortman
Keyword(s):  
Integral Equations ◽  
Numerical Evaluation ◽  
Queueing System ◽  
Sample Path ◽  
Time Dependent ◽  
Infinite Server ◽  
First Arrival ◽  
Number Of Customers

We consider an infinite server queueing system. An examination of sample path dynamics allows a straightforward development of integral equations having solutions that give time-dependent occupancy (number of customers) and backlog (unfinished work) distributions (conditioned on the time of the first arrival) for the GI/G/∞ queue. These integral equations are amenable to numerical evaluation and can be generalized to characterize GIX/G/∞ queue. Two examples are given to illustrate the results.

On the time-dependent occupancy and backlog distributions for the GI/G/∞ queue

1999 ◽  
Vol 36 (02) ◽  
pp. 558-569
Author(s):  
H. Ayhan ◽  
J. Limon-Robles ◽  
M. A. Wortman
Keyword(s):  
Integral Equations ◽  
Numerical Evaluation ◽  
Queueing System ◽  
Sample Path ◽  
Time Dependent ◽  
Infinite Server ◽  
First Arrival ◽  
Number Of Customers

We consider an infinite server queueing system. An examination of sample path dynamics allows a straightforward development of integral equations having solutions that give time-dependent occupancy (number of customers) and backlog (unfinished work) distributions (conditioned on the time of the first arrival) for the GI/G/∞ queue. These integral equations are amenable to numerical evaluation and can be generalized to characterize GI X /G/∞ queue. Two examples are given to illustrate the results.

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