Initialising ...
Initialising ...
Initialising ...
Initialising ...
Initialising ...
Initialising ...
Initialising ...
Utsumi, Takayuki*; Kimura, Hideo
JSME International Journal, Series B, 47(4), p.761 - 767, 2004/11
In this paper, we show that a new numerical method, the Constrained Interpolation Profile - Basis Set (CIP-BS) method, can solve partial differential equations (PDEs) with high accuracy and can be a universal solver by presenting examples for the solutions of typical parabolic, hyperbolic, and elliptic equations. Here, we present the numerical errors caused by this method, and illustrate that the solutions by the CIP-BS
method, in which fifth order polynomials are used to constrain the values and first and second order spatial derivatives, are highly refined compared to those by the CIP-BS
method, in which third order polynomials are used to constrain the values and first order spatial derivatives. The fact that this method can unambiguously solve PDEs with an one-to-one correspondence to analytical requirements is also shown for PDEs including singular functions like the Dirac delta function with Dirichet or Neumann boundary conditions. This method is straightforwardly applicable to PDEs describing complex physical and engineering problems.
-ray analysis of JRR-4Yamamoto, Kazuyoshi; Kishi, Toshiaki; Hori, Naohiko; Kumada, Hiroaki; Torii, Yoshiya; Horiguchi, Yoji
JAERI-Tech 2001-016, 34 Pages, 2001/03
JAERI-Tech-2001-016.pdf:1.56MB
no abstracts in English
*; *; *
JAERI-Data/Code 99-016, 183 Pages, 1999/03
JAERI-Data-Code-99-016.pdf:4.87MB
no abstracts in English
*; Abe, Mitsushi*; Tadokoro, Takahiro*; Miura, Yukitoshi; Suzuki, Norio; Sato, Masayasu; Sengoku, Seio
Purazuma, Kaku Yugo Gakkai-Shi, 74(3), p.274 - 283, 1998/03
no abstracts in English
*
JAERI-Data/Code 97-011, 25 Pages, 1997/03
JAERI-Data-Code-97-011.pdf:0.8MB
no abstracts in English
C.J.Choi*; Nakamura, Hideo
Annals of Nuclear Energy, 24(4), p.275 - 285, 1997/00
Times Cited Count：7 Percentile：52.66(Nuclear Science & Technology)no abstracts in English
JAERI-M 82-167, 154 Pages, 1982/11
no abstracts in English
Ueki, Taro
no journal, ,
A new methodology has been developed to make the reliable estimation of statistical errors in Monte Carlo criticality calculation (MCCC). The methodology developed is directly based on the convergence process in the functional central limit theorem and is shown to perform well in the evaluation of reactor power distribution. The theoretical backbones are described within the general context as framed in the operations research. The requisite basics of statistics are reviewed in terms of output analysis in MCCC. Numerical results are presented for the initial core model of a 1200 MWe pressurized water reactor. Preliminary results of fractal dimension analysis are shown to discuss a potential for convergence assessment.
