Variational acceleration for subspace iteration method. Application to nuclear power reactors

被引:0
|
作者
Vidal, V
Verdu, G
Ginestar, D
Munoz-Cobo, JL
机构
[1] Univ Politecn Valencia, Dept Ingn Quim & Nucl, E-46071 Valencia, Spain
[2] Univ Politecn Valencia, Dept Sistemas Informat & Computac, E-46071 Valencia, Spain
[3] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain
关键词
subspace iteration; variational acceleration; lambda modes;
D O I
10.1002/(SICI)1097-0207(19980215)41:3<391::AID-NME289>3.3.CO;2-A
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The Subspace Iteration Method is a popular approach to obtain the dominant eigenvalues and their corresponding eigenvectors of a given matrix. We have applied this method, making use of two Rayleigh-Ritz projections, to obtain the dominant Lambda Modes of a nuclear power reactor. Also, we have developed a variational acceleration technique for this method, and we have stated that this variational acceleration is very convenient, mainly, when the required number of eigenvalues is low. (C) 1998 John Wiley & Sons, Ltd.
引用
收藏
页码:391 / 407
页数:17
相关论文
共 50 条
  • [31] Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation
    Elbeleze, Asma Ali
    Kilicman, Adem
    Taib, Bachok M.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [32] Application of the variational iteration method to some nonlinear one-dimensional oscillations
    Marinca, Vasile
    Herisanu, Nicolae
    Bota, Constantin
    MECCANICA, 2008, 43 (01) : 75 - 79
  • [33] Application of the variational iteration method to the Benjamin-Bona-Mahony (BBM) equation
    Hizel, Emanullah
    MATHEMATICAL METHODS AND COMPUTATIONAL TECHNIQUES IN RESEARCH AND EDUCATION, 2007, : 91 - +
  • [34] Application of the variational iteration method to some nonlinear one-dimensional oscillations
    Vasile Marinca
    Nicolae Herişanu
    Constantin Bota
    Meccanica, 2008, 43 : 75 - 79
  • [35] Multi-threaded application for parallel computing of subspace iteration method in .NET Framework
    Song, Guangcai
    Zuo, Wenjie
    Xu, Tao
    Guo, Guikai
    ICMS2009: PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 5, 2009, : 448 - 451
  • [36] Development and implementation of an integral variational nodal method to the hexagonal geometry nuclear reactors
    Zhang, Tengfei
    Xiong, Jinbiao
    Liu, Luguo
    Li, Zhipeng
    Zhuang, Kun
    ANNALS OF NUCLEAR ENERGY, 2019, 131 : 210 - 220
  • [37] Application of He's variational iteration method to nonlinear heat transfer equations
    Miansari, Mo.
    Ganji, D. D.
    Miansari, Me.
    PHYSICS LETTERS A, 2008, 372 (06) : 779 - 785
  • [38] Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations
    Liu, Hsuan-Ku
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [39] Application of variational iteration method to heat-and wave-like equations
    Batiha, B.
    Noorani, M. S. M.
    Hashim, I.
    PHYSICS LETTERS A, 2007, 369 (1-2) : 55 - 61
  • [40] Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives
    Draganescu, G. E.
    JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (08)