메뉴 건너뛰기




Volumn 169, Issue 2, 2011, Pages 155-167

Rational approximations to the matrix exponential in burnup calculations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; EIGENVALUES AND EIGENFUNCTIONS;

EID: 84858650181     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE10-81     Document Type: Article
Times cited : (145)

References (16)
  • 1
    • 77649141368 scopus 로고    scopus 로고
    • Computing the matrix exponential in burnup calculations
    • M. PUSA and J. LEPPANEN, "Computing the Matrix Exponential in Burnup Calculations," Nucl. Sci. Eng., 164, 140 (2010).
    • (2010) Nucl. Sci. Eng , vol.164 , pp. 140
    • Pusa, M.1    Leppanen, J.2
  • 2
    • 0003446709 scopus 로고    scopus 로고
    • Origen-S: Scale system module to calculate fuel depletion, actinide transmutation, fission product buildup and decay, and associated radiation source terms
    • Sec. F7, ORNL/TM-2005/39, Oak Ridge National Laboratory/ U.S. Nuclear Regulatory Commission, Nov
    • I. C. GAULD, O. W. HERMANN, and R. M. WESTFALL, "Origen-S: Scale System Module to Calculate Fuel Depletion, Actinide Transmutation, Fission Product Buildup and Decay, and Associated Radiation Source Terms," in "SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations," Vol. II, Sec. F7, ORNL/TM-2005/39, Oak Ridge National Laboratory/ U.S. Nuclear Regulatory Commission (Nov. 2006).
    • (2006) Scale: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluations , pp. 2
    • Gauld, I.C.1    Hermann, O.W.2    Westfall, R.M.3
  • 3
    • 33947155342 scopus 로고    scopus 로고
    • Numerical solution of stiff burnup equations with short half lived nuclides by the krylov subspace method
    • A. YAMAMOTO, M. TATSUMI, and N. SUGIMURA, "Numerical Solution of Stiff Burnup Equations with Short Half Lived Nuclides by the Krylov Subspace Method," J. Nucl. Sci. Technol., 44, 2, 147 (2007).
    • (2007) J. Nucl. Sci. Technol , vol.44 , Issue.2 , pp. 147
    • Yamamoto, A.1    Tatsumi, M.2    Sugimura, N.3
  • 4
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
    • C. MOLER and C. VAN LOAN, "Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later," SI AM Rev., 45, 3 (2003).
    • (2003) SI Am Rev , vol.45 , pp. 3
    • Moler, C.1    Van Loan, C.2
  • 5
    • 78751633465 scopus 로고    scopus 로고
    • Comparison of depletion algorithms
    • A. ISOTALO and P. A. AARNIO, "Comparison of Depletion Algorithms," Ann. Nucl. Energy, 38, 2-3, 261 (2011).
    • (2011) Ann. Nucl. Energy , vol.38 , Issue.2-3 , pp. 261
    • Isotalo, A.1    Aarnio, P.A.2
  • 7
    • 33749016203 scopus 로고    scopus 로고
    • Talbot quadratures and rational approximations
    • L. N. TREFETHEN, J. A. C. WEIDEMAN, and T. SCHMELZER, "Talbot Quadratures and Rational Approximations," BIT., 46, 3, 653 (2006).
    • (2006) BIT , vol.46 , Issue.3 , pp. 653
    • Trefethen, L.N.1    Weideman, J.A.C.2    Schmelzer, T.3
  • 8
    • 33645378339 scopus 로고
    • Equilibrium distributions and degree of rational approximation of analytic functions
    • A. A. GONCHAR and E. A. RAKHMANOV, "Equilibrium Distributions and Degree of Rational Approximation of Analytic Functions," Math. USSR Sb., 62, 2 (1989).
    • (1989) Math. USSR Sb , vol.62 , pp. 2
    • Gonchar, A.A.1    Rakhmanov, E.A.2
  • 9
  • 10
    • 0005449424 scopus 로고
    • Extended numerical computations on the 1/9 conjecture in rational approximation theory
    • Lecture Notes in Mathematics, P. R. GRAVES-MORRIS, E. B. SAFF, and R. S. VARGA, Eds., Springer-Verlag
    • A. J. CARPENTER, A. RUTTAN, and R. S. VARGA, "Extended Numerical Computations on the 1/9 Conjecture in Rational Approximation Theory," "Rational Approximation and Interpolation" in Lecture Notes in Mathematics, Vol. 1105, pp. 383-411, P. R. GRAVES-MORRIS, E. B. SAFF, and R. S. VARGA, Eds., Springer-Verlag (1984).
    • (1984) Rational Approximation and Interpolation , vol.1105 , pp. 383-411
    • Carpenter, A.J.1    Ruttan, A.2    Varga, R.S.3
  • 11
    • 0000269389 scopus 로고
    • Efficient solution of parabolic equations by krylov approximation methods
    • E. GALLOPOULOS and Y. SAAD, "Efficient Solution of Parabolic Equations by Krylov Approximation Methods," SIAM J. Sci. Stat. Comput., 13, 5, 1236 (1992).
    • (1992) SIAM J. Sci. Stat. Comput , vol.13 , Issue.5 , pp. 1236
    • Gallopoulos, E.1    Saad, Y.2
  • 12
    • 0032010619 scopus 로고    scopus 로고
    • Expokit: A software package for computing matrix exponentials
    • R. B. SIDJE, "Expokit: a Software Package for Computing Matrix Exponentials," ACM Trans. Math. Softw., 24,1,130 (1998).
    • (1998) ACM Trans. Math. Softw , vol.24 , Issue.1 , pp. 130
    • Sidje, R.B.1
  • 14
    • 85038471231 scopus 로고    scopus 로고
    • Matlab Central, Nov. 2008, current as of October 26
    • T. SCHMELZER, "Carathéodory-Fejér Approximation," Matlab Central (Nov. 2008); http://www.mathworks.com/matlabcentral (current as of October 26, 2010).
    • (2010) Carathéodory-Fejér Approximation
    • Schmelzer, T.1
  • 15
    • 34548162562 scopus 로고    scopus 로고
    • Parabolic and hyperbolic contours for computing the bromwich integral
    • J. WEIDEMAN and L. N. TREFETHEN, "Parabolic and Hyperbolic Contours for Computing the Bromwich Integral," Math. Comput., 76, 259, 1341 (2007).
    • (2007) Math. Comput , vol.76 , Issue.259 , pp. 1341
    • Weideman, J.1    Trefethen, L.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.