HIGH-ORDER PCG METHOD SOLVING COMPLEX SYSTEMS

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2000, Vol. 17 ›› Issue (4): 401-406.

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HIGH-ORDER PCG METHOD SOLVING COMPLEX SYSTEMS

HUANG Zhao-hui¹, LEI Guang-yao^1,2, LIU Xing-ping²

1. Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P R China;
2. The Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathemati

Received:1999-01-28 Online:2000-07-25 Published:2000-07-25

Abstract

Abstract: To solve complex systems obtained from 2D nonlinear Schrödinger equation, a method of high-order PCG coupling with BICG has been developed. Meanwhile, the complex systems of order M can be reconstructed as the real systems of order 2M. From the theory of order matrix, the high order approximate LU decompositions are given as the preconditioners to solve the real systems. Numerical results show that the computational efficiency can be nearly doubled by the high-order PCG method comparing with the ICCG method.

Key words: complex systems, iterative method, high-order PCG

CLC Number:

TP301.6

HUANG Zhao-hui, LEI Guang-yao, LIU Xing-ping. HIGH-ORDER PCG METHOD SOLVING COMPLEX SYSTEMS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(4): 401-406.

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HIGH-ORDER PCG METHOD SOLVING COMPLEX SYSTEMS

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