Valence Electron Studies with Gaussian‐Based Model Potentials and Gaussian Basis Functions. II. Discussion of the One‐Valence‐Electron Molecular Theory and Applications to Li2+, Na2+, and LiH+

1972 ◽  
Vol 57 (10) ◽  
pp. 4132-4136 ◽  
Author(s):  
Maurice E. Schwartz ◽  
Jurgen D. Switalski
Keyword(s):  
Valence Electron ◽  
Basis Functions ◽  
Molecular Theory ◽  
Model Potentials ◽  
Gaussian Basis Functions ◽  
The One

Wavelets in the Solution of Nongray Radiative Heat Transfer Equation

1998 ◽  
Vol 120 (1) ◽  
pp. 133-139 ◽  
Author(s):  
Y. Bayazitoglu ◽  
B. Y. Wang
Keyword(s):  
Transfer Equation ◽  
Solution Method ◽  
Radiative Heat ◽  
Radiative Transfer Equation ◽  
Basis Functions ◽  
Wavelet Basis ◽  
System Of Equations ◽  
Heat Transfer Equation ◽  
One Dimensional ◽  
The One

The wavelet basis functions are introduced into the radiative transfer equation in the frequency domain. The intensity of radiation is expanded in terms of Daubechies’ wrapped-around wavelet functions. It is shown that the wavelet basis approach to modeling nongrayness can be incorporated into any solution method for the equation of transfer. In this paper the resulting system of equations is solved for the one-dimensional radiative equilibrium problem using the P-N approximation.

Approximation of Gaussian basis functions in the problem of adaptive control of nonlinear objects

2011 ◽  
Vol 47 (1) ◽  
pp. 1-10 ◽  
Author(s):  
O. G. Rudenko ◽  
A. A. Bezsonov ◽  
A. S. Liashenko ◽  
R. A. Sunna
Keyword(s):  
Adaptive Control ◽  
Basis Functions ◽  
Gaussian Basis Functions
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