scholarly journals Angular integration using symbolic state expansions

2004 ◽  
Vol 44 (2) ◽  
pp. 121-134 ◽  
Author(s):  
Charlotte Froese Fischer ◽  
David Ellis
Keyword(s):  
Angular Integration

scholarly journals A neural circuit architecture for angular integration in Drosophila

Nature ◽  
2017 ◽  
Vol 546 (7656) ◽  
pp. 101-106 ◽  
Author(s):  
Jonathan Green ◽  
Atsuko Adachi ◽  
Kunal K. Shah ◽  
Jonathan D. Hirokawa ◽  
Pablo S. Magani ◽  
...  
Keyword(s):  
Neural Circuit ◽  
Angular Integration

scholarly journals Near optimal angular quadratures for polarised radiative transfer

2020 ◽  
Vol 636 ◽  
pp. A24 ◽  
Author(s):  
Jiří Štěpán ◽  
Jaume Jaume Bestard ◽  
Javier Trujillo Bueno
Keyword(s):  
Numerical Calculation ◽  
Radiative Transfer ◽  
Tensor Product ◽  
Radiation Field ◽  
Computing Time ◽  
Three Dimensional ◽  
Quadrature Rules ◽  
Thermodynamical Equilibrium ◽  
Angular Integration ◽  
Local Thermodynamical Equilibrium

In three-dimensional (3D) radiative transfer (RT) problems, the tensor product quadratures are generally not optimal in terms of the number of discrete ray directions needed for a given accuracy of the angular integration of the radiation field. In this paper, we derive a new set of angular quadrature rules that are more suitable for solving 3D RT problems with the short- and long-characteristics formal solvers. These quadratures are more suitable than the currently used ones for the numerical calculation of the radiation field tensors that are relevant in the problem of the generation and transfer of polarised radiation without assuming local thermodynamical equilibrium (non-LTE). We show that our new quadratures can save up to about 30% of computing time with respect to the Gaussian-trapezoidal product quadratures with the same accuracy.

scholarly journals QED corrections with partial angular integration to fermion pair production in e+ e− annihilation

1991 ◽  
Vol 255 (2) ◽  
pp. 290-296 ◽  
Author(s):  
D. Bardin ◽  
M. Bilenky ◽  
A. Sazonov ◽  
Yu. Sedykh ◽  
T. Riemann ◽  
...  
Keyword(s):  
Pair Production ◽  
Fermion Pair ◽  
Angular Integration
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