Improvements on the Natural Iteration Method in the cluster variation method

Liu Xingjun; Hao Shiming; Yuan Rongwen

doi:10.1016/0364-5916(95)00009-4

Improvements on the Natural Iteration Method in the cluster variation method

Liu Xingjun^*
, Hao Shiming
, Yuan Rongwen

^*Corresponding author for this work

Northeastern University China

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

By examining the relationship between grand potential and various distribution variables, this paper combines the Natural Iteration Method (NIM) with the Step Speeded Method and Dichotomous method, respectively, and proposes two methods, Step Speeded- and Dichotomous-NIMs, for improving the conventional NIM by making use of the absolute convergence of the NIM. The calculated results indicate the numbers of iteration in the two methods obviously decreased, and they are still with absolute convergence.

Original language	English
Pages (from-to)	81-92
Number of pages	12
Journal	Calphad: Computer Coupling of Phase Diagrams and Thermochemistry
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/0364-5916(95)00009-4
State	Published - Mar 1995
Externally published	Yes

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title = "Improvements on the Natural Iteration Method in the cluster variation method",

abstract = "By examining the relationship between grand potential and various distribution variables, this paper combines the Natural Iteration Method (NIM) with the Step Speeded Method and Dichotomous method, respectively, and proposes two methods, Step Speeded- and Dichotomous-NIMs, for improving the conventional NIM by making use of the absolute convergence of the NIM. The calculated results indicate the numbers of iteration in the two methods obviously decreased, and they are still with absolute convergence.",

author = "Liu Xingjun and Hao Shiming and Yuan Rongwen",

year = "1995",

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doi = "10.1016/0364-5916(95)00009-4",

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T1 - Improvements on the Natural Iteration Method in the cluster variation method

AU - Xingjun, Liu

AU - Shiming, Hao

AU - Rongwen, Yuan

PY - 1995/3

Y1 - 1995/3

N2 - By examining the relationship between grand potential and various distribution variables, this paper combines the Natural Iteration Method (NIM) with the Step Speeded Method and Dichotomous method, respectively, and proposes two methods, Step Speeded- and Dichotomous-NIMs, for improving the conventional NIM by making use of the absolute convergence of the NIM. The calculated results indicate the numbers of iteration in the two methods obviously decreased, and they are still with absolute convergence.

AB - By examining the relationship between grand potential and various distribution variables, this paper combines the Natural Iteration Method (NIM) with the Step Speeded Method and Dichotomous method, respectively, and proposes two methods, Step Speeded- and Dichotomous-NIMs, for improving the conventional NIM by making use of the absolute convergence of the NIM. The calculated results indicate the numbers of iteration in the two methods obviously decreased, and they are still with absolute convergence.

UR - https://www.scopus.com/pages/publications/0346933500

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DO - 10.1016/0364-5916(95)00009-4

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SN - 0364-5916

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JO - Calphad: Computer Coupling of Phase Diagrams and Thermochemistry

JF - Calphad: Computer Coupling of Phase Diagrams and Thermochemistry

IS - 1

ER -

Improvements on the Natural Iteration Method in the cluster variation method

Abstract

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