Using Generalized Laguerre Polynomials to Compute the Matrix Exponential in Burnup Equations

Author:

She Ding1,Zhu Ang2,Wang Kan2

Affiliation:

1. Tsinghua University, Department of Engineering Physics, Beijing, China and Tsinghua University, Institute of Nuclear and New Energy Technology, Beijing, China

2. Tsinghua University, Department of Engineering Physics, Beijing, China

Publisher

Informa UK Limited

Subject

Nuclear Energy and Engineering

Reference13 articles.

1. 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).

2. Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

3. Comparison of depletion algorithms for large systems of nuclides

4. W. B. WILSON et al. “AManual for CINDER’90 Version 07.4 Codes and Data,” LA-UR 07-8412, Los Alamos National Laboratory.

5. General solution of Bateman equations for nuclear transmutations

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