scholarly journals Higher order perturbation theory of exponential Lagrangians: Fourth order

1974 ◽  
Vol 35 (4) ◽  
pp. 321-346 ◽  
Author(s):  
K. Pohlmeyer
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Higher Order ◽  
Order Perturbation ◽  
Order Perturbation Theory

Higher-Order Perturbation Theory in Gaseous Lasers

1967 ◽  
Vol 164 (2) ◽  
pp. 329-339 ◽  
Author(s):  
W. Culshaw
Keyword(s):  
Perturbation Theory ◽  
Higher Order ◽  
Order Perturbation ◽  
Order Perturbation Theory

scholarly journals Higher-order Lagrangian perturbative theory for the Cosmic Web

2014 ◽  
Vol 11 (S308) ◽  
pp. 119-120
Author(s):  
Takayuki Tatekawa ◽  
Shuntaro Mizuno
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Initial Conditions ◽  
Higher Order ◽  
Order Perturbation ◽  
Initial Condition ◽  
The Difference ◽  
Fifth Order ◽  
The Universe ◽  
Higher Order Lagrangian

AbstractZel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

Reduced dynamics of coupled harmonic and anharmonic oscillators using higher-order perturbation theory

2007 ◽  
Vol 126 (11) ◽  
pp. 114102 ◽  
Author(s):  
Markus Schröder ◽  
Michael Schreiber ◽  
Ulrich Kleinekathöfer
Keyword(s):  
Perturbation Theory ◽  
Higher Order ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Anharmonic Oscillators

Higher order perturbation theory applied to radiative transfer in non-plane-parallel media

2003 ◽  
Vol 78 (1) ◽  
pp. 105-118 ◽  
Author(s):  
Michael A. Box ◽  
Igor N. Polonsky ◽  
Anthony B. Davis
Keyword(s):  
Perturbation Theory ◽  
Radiative Transfer ◽  
Higher Order ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Plane Parallel

scholarly journals Higher-order perturbation theory for highly-improved actions

2004 ◽  
Vol 129-130 ◽  
pp. 142-148 ◽  
Author(s):  
Howard D. Trottier
Keyword(s):  
Perturbation Theory ◽  
Higher Order ◽  
Order Perturbation ◽  
Order Perturbation Theory
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