Stability analysis for discretized steady convective-diffusion equation

Ming Jiu Ni; Wen Quan Tao; Shang Jin Wang

doi:10.1080/104077999275910

Stability analysis for discretized steady convective-diffusion equation

Ming Jiu Ni
, Wen Quan Tao
, Shang Jin Wang

Xi'an Jiaotong University

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

11 Scopus citations

Abstract

A comprehensive study is presented regarding the numerical stability of several common iteration numerical methods applied to the discretized steady convective-diffusion equations with some common finite-difference spatial discretizations. One-dimensional and multidimensional results are obtained using the classical Von Neumann method of stability analysis. The analysis results show that numerical stability in solving the resulting discretization equations depends on both the finite-difference scheme and the numerical method for solving the resulting algebraic equations.

Original language	English
Pages (from-to)	369-388
Number of pages	20
Journal	Numerical Heat Transfer, Part B: Fundamentals
Volume	35
Issue number	3
DOIs	https://doi.org/10.1080/104077999275910
State	Published - May 1999

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title = "Stability analysis for discretized steady convective-diffusion equation",

abstract = "A comprehensive study is presented regarding the numerical stability of several common iteration numerical methods applied to the discretized steady convective-diffusion equations with some common finite-difference spatial discretizations. One-dimensional and multidimensional results are obtained using the classical Von Neumann method of stability analysis. The analysis results show that numerical stability in solving the resulting discretization equations depends on both the finite-difference scheme and the numerical method for solving the resulting algebraic equations.",

author = "Ni, \{Ming Jiu\} and Tao, \{Wen Quan\} and Wang, \{Shang Jin\}",

year = "1999",

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AU - Tao, Wen Quan

AU - Wang, Shang Jin

PY - 1999/5

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N2 - A comprehensive study is presented regarding the numerical stability of several common iteration numerical methods applied to the discretized steady convective-diffusion equations with some common finite-difference spatial discretizations. One-dimensional and multidimensional results are obtained using the classical Von Neumann method of stability analysis. The analysis results show that numerical stability in solving the resulting discretization equations depends on both the finite-difference scheme and the numerical method for solving the resulting algebraic equations.

AB - A comprehensive study is presented regarding the numerical stability of several common iteration numerical methods applied to the discretized steady convective-diffusion equations with some common finite-difference spatial discretizations. One-dimensional and multidimensional results are obtained using the classical Von Neumann method of stability analysis. The analysis results show that numerical stability in solving the resulting discretization equations depends on both the finite-difference scheme and the numerical method for solving the resulting algebraic equations.

UR - https://www.scopus.com/pages/publications/0032658313

U2 - 10.1080/104077999275910

DO - 10.1080/104077999275910

M3 - 文章

AN - SCOPUS:0032658313

SN - 1040-7790

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SP - 369

EP - 388

JO - Numerical Heat Transfer, Part B: Fundamentals

JF - Numerical Heat Transfer, Part B: Fundamentals

IS - 3

ER -

Stability analysis for discretized steady convective-diffusion equation

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