scholarly journals Exponential asymptotics with coalescing singularities

Nonlinearity ◽  
2015 ◽  
Vol 28 (5) ◽  
pp. 1229-1256 ◽  
Author(s):  
Philippe H Trinh ◽  
S Jonathan Chapman
Keyword(s):  
Exponential Asymptotics

The study of time dependence of particle flux with multiplication in a random medium

2020 ◽  
Vol 35 (1) ◽  
pp. 11-20
Author(s):  
Galiya Z. Lotova ◽  
Guennady A. Mikhailov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Time Dependence ◽  
Particle Flux ◽  
Random Medium ◽  
The Mean ◽  
Exponential Asymptotics ◽  
Number Of Particles

AbstractAlgorithms of Monte Carlo method for estimating probabilistic moments of the parameter of time exponential asymptotics of particle flux with multiplication in a random medium are constructed. It was analytically and numerically shown that the asymptotics of the mean number of particles is close to an exponential one with the factor containing a summand proportional to square of time.

scholarly journals New Aspects of Exponential Asymptotics in Multiple-Scale Nonlinear Wave Problems

2017 ◽  
Vol 139 (2) ◽  
pp. 223-247 ◽  
Author(s):  
Sean D. Nixon ◽  
T. R. Akylas ◽  
Jianke Yang
Keyword(s):  
Nonlinear Wave ◽  
Multiple Scale ◽  
Wave Problems ◽  
Exponential Asymptotics
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