Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8066955 | Annals of Nuclear Energy | 2018 | 8 Pages |
Abstract
A burnup equation can be solved with matrix exponential method and its solution can be written as n(t)=eAtn(0). In burnup calculation, general Krylov Subspace Method can solute a matrix-vector efficiently in a subspace but fails to keep a high precision. To solve this problem, a new kind of Krylov Subspace Method, Generalized Minimal Residual Method (GMRES) is implemented, based on a rational approximation method. It shows its great advantage in computation speed, which is more than four times faster than the same kind of rational approximation solved in a whole space while its accuracy is also guaranteed. Some optimizations, such as shift-Invariant technique, precondition technique and restart technique, are also implemented on burnup calculation.
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Authors
Xuezhong Li, Jiejin Cai,