REFERENCES
- 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,” Vol. 2, Sec. F7, in “SCALE: A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluation,” ORNL/TM-2005/39, Version 6.1, Oak Ridge National Laboratory (2011).
- C. MOLER and C. VAN LOAN, “Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later,” SIAM Rev., 45, 3 (2003).
- A. E. ISOTALO and P. A. AARNIO, “Comparison of Depletion Algorithms,” Ann. Nucl. Energy, 38, 2–3, 261 (2011).
- W. B. WILSON et al., “AManual for CINDER’90 Version 07.4 Codes and Data,” LA-UR 07-8412, Los Alamos National Laboratory.
- J. CETNAR, “General Solution of Bateman Equations for Nuclear Transmutations,” Ann. Nucl. Energy, 33, 640 (2006).
- T. M. SUTTON et al., “The MC21 Monte Carlo Transport Code,” Proc. Joint Int. Topl. Mtg. Mathematics and Computation and Supercomputing in Nuclear Applications (M&C+SNA 2007), Monterey, California, April 15–19, 2007, American Nuclear Society (2007).
- A. YAMAMOTO, M. TATSUMI, and N. SUGIMURA, “Numerical Solution of Stiff Burnup Equations with Short Half LivedNuclides by the Krylov Subspace Method,” J. Nucl. Sci. Technol., 44, 2, 147 (2007).
- M. PUSA and J. LEPPÄNEN, “Computing the Matrix Exponential in Burnup Calculations,” Nucl. Sci. Eng., 164, 140 (2010).
- M. PUSA, “Rational Approximations to the Matrix Exponential in Burnup Calculations,” Nucl. Sci. Eng., 169, 155 (2011).
- W. GAUTSCHI, Orthogonal Polynomials: Computation and Approximation, Numerical Mathematics and Scientific Computation, Oxford University Press (2004).
- G. SZEGÖ, Orthogonal Polynomials, AMS Colloquium Publications, Vol. 23, 4th ed., American Mathematical Society (1975).
- G. MOORE, “Orthogonal Polynomial Expansions for the Matrix Exponential,” Linear Algebra Appl., 435, 3, 537 (2011).
- B. N. SHEEHAN, Y. SAAD, and R. B. SIDJE, “Computing exp(–τA)b with Laguerre Polynomials,” Electron. Trans. Numer. Anal., 37, 147 (2010).
- R. A. HORN and C. R. JOHNSON, Topics in Matrix Analysis, Cambridge University Press (1991).
- D. SHE, K. WANG, and G. YU, “Development and Validation of Burnup Function in Reactor Monte Carlo Code RMC,” Proc. 19th Int. Conf. Nuclear Engineering (ICONE19), Osaka, Japan, October 16–19, 2011.