A functional parallelisation of the Spectral Transform Method

1999 ◽  
pp. 337-344
Author(s):  
E.A. Chadwick
Keyword(s):  
Transform Method ◽  
Spectral Transform

Parallelizing the spectral transform method

1992 ◽  
Vol 4 (4) ◽  
pp. 269-291 ◽  
Author(s):  
Patrick H. Worley ◽  
John B. Drake
Keyword(s):  
Transform Method ◽  
Spectral Transform

scholarly journals Numerical integration of the axisymmetric Robinson-Trautman equation by a spectral method

1999 ◽  
Vol 41 (2) ◽  
pp. 271-280 ◽  
Author(s):  
D. A. Prager ◽  
A. W.-C. Lun
Keyword(s):  
Numerical Integration ◽  
Spectral Decomposition ◽  
Finite Difference Schemes ◽  
Qualitative Comparison ◽  
Transform Method ◽  
Higher Order Modes ◽  
Spectral Transform ◽  
Long Time ◽  
Bondi Mass ◽  
Meteorological Problems

AbstractWe have adapted the Spectral Transform Method, a technique commonly used in non-linear meteorological problems, to the numerical integration of the Robinson-Trautman equation. This approach eliminates difficulties due to the S2 × R+ topology of the equation. The method is highly accurate for smooth data and is numerically robust. Under spectral decomposition the long-time equilibrium state takes a particularly simple form: all nonlinear (l ≥ 2) modes tend to zero. We discuss the interaction and eventual decay of these higher order modes, as well as the evolution of the Bondi mass and other derived quantities. A qualitative comparison between the Spectral Transform Method and two finite difference schemes is given.

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