Wavelet theory for solution of the neutron diffusion equation

Nuclear Science and Engineering

Volumn 124, Issue 3, 1996, Pages 417-430

  Cho, Nam Zin ^a   Park, Chang Je ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; DIFFERENTIAL EQUATIONS; DIFFUSION; INTEGRATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUCLEAR PHYSICS; NUMERICAL METHODS; RECURSIVE FUNCTIONS;

DAUBECHIE SCALING FUNCTION; NEUTRON DIFFUSION EQUATION; WAVELET FUNCTIONS; WAVELET GALERKIN METHOD; WEIGHTING FUNCTION;

NEUTRONS;

EID: 0030284678     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE96-A17920     Document Type: Article

References (7)

1. I. DAUBECHIES, "Orthonormal Bases of Compactly Supported Wavelets," Commun. Pure Appl. Math., 41, 909 (1988).
2. G. STRANG, "Wavelets and Dilation Equations: A Brief Introduction," SIAM Rev., 31, 614 (1989).
3. R. GLOWINSKI et al., "Wavelet Solution of Linear and Nonlinear Elliptic, Parabolic and Hyperbolic Problems in One Space Dimension," Computing Methods in Applied Science and Engineering, p. 55, R. GLOWINSKI, Ed., Society for Industrial and Applied Mathematics, Philadelphia (1990).
4. N. KIKUCHI, Finite Element Methods in Mechanics, Cambridge University Press, New York (1985).
5. D. R. VONDY, T. B. FOWLER, and G. W. CUNNINGHAM, "VENTURE: A Code Block for Sovling Multigroup Neutronics Problems Applying the Finite Dfiference Diffusion-Theory Approximation to Neutron Transport-Version II," ORNL-5062/R1, Oak Ridge National Laboratory (1977).
6. C. J. PARK and N. Z. CHO, "Wavelet Theory for Solution of the Neutron Diffusion Equation," Proc. Korean Nuclear Society, Seoul, Korea, October 29, 1994, Vol. I, p. 79, Korean Nuclear Society (1994).
7. C. J. PARK and N. Z. CHO, "A New Approach to Solving the Neutron Diffusion Equation Based on Wavelet Theory," Proc. Int. Conf. Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, Oregon, April 30-May 4, 1995, Vol. 2, p. 1445, American Nyclear Society (1995).