日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
大規模常微分方程式系の台形則に対するBiCGSTAB法 : Krylov部分空間の再利用による高速化の試み
中村 真輔三井 斌友
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ジャーナル フリー

2007 年 17 巻 3 号 p. 219-238

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We are concerned with an efficient numerical solution of linear equations at each time-stepping of the trapezoidal rule applied to a system of linear ordinary differential equations (ODEs) with a constant coefficient matrix of large dimension. We do not assume that the matrix is symmetric. Hence numerical solutions in the family of BiCG method are sought. The present paper describes a method to reuse Krylov subspaces in the BiCGSTAB process over a number of computational steps. It can suppress increase of the memory usage as well as reduce the total number of BiCGSTAB iterations. Numerical examples depict its efficiency.
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© 2007 一般社団法人 日本応用数理学会
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