On a New Time Integration Method for Solving Time Dependent Partial Differential Equations

Wanxie Zhong; Jianping Zhu; Xiangxiang Zhong

doi:10.1016/0045-7825(95)00876-4

On a New Time Integration Method for Solving Time Dependent Partial Differential Equations

Wanxie Zhong
, Jianping Zhu
, Xiangxiang Zhong

Mississippi State University
State University of New York

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

Abstract

A numerical time integration algorithm that combines the high accuracy of the precise time integration method and the computational efficiency of the finite difference schemes in this paper. The algorithm is explicit and unconditionally stable. It can also be modified easily to achieve different levels of accuracy by using more integration points. Numerical examples of both linear and non-linear PDE problems are discussed in the paper.

Original language	American English
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	130
DOIs	https://doi.org/10.1016/0045-7825(95)00876-4
State	Published - Mar 1 1996

Disciplines

Partial Differential Equations

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title = "On a New Time Integration Method for Solving Time Dependent Partial Differential Equations",

abstract = " A numerical time integration algorithm that combines the high accuracy of the precise time integration method and the computational efficiency of the finite difference schemes in this paper. The algorithm is explicit and unconditionally stable. It can also be modified easily to achieve different levels of accuracy by using more integration points. Numerical examples of both linear and non-linear PDE problems are discussed in the paper.",

author = "Wanxie Zhong and Jianping Zhu and Xiangxiang Zhong",

note = "Zhong, W., Zhu, J., and Zhong, X. (1996). On a New Time Integration Method for Solving Time Dependent Partial Differential Equations. Computer Methods in Applied Mechanics and Engineering, 130(1-2), 163-178, doi: 10.1016/0045-7825(95)00876-4.",

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T1 - On a New Time Integration Method for Solving Time Dependent Partial Differential Equations

AU - Zhong, Wanxie

AU - Zhu, Jianping

AU - Zhong, Xiangxiang

N1 - Zhong, W., Zhu, J., and Zhong, X. (1996). On a New Time Integration Method for Solving Time Dependent Partial Differential Equations. Computer Methods in Applied Mechanics and Engineering, 130(1-2), 163-178, doi: 10.1016/0045-7825(95)00876-4.

PY - 1996/3/1

Y1 - 1996/3/1

N2 - A numerical time integration algorithm that combines the high accuracy of the precise time integration method and the computational efficiency of the finite difference schemes in this paper. The algorithm is explicit and unconditionally stable. It can also be modified easily to achieve different levels of accuracy by using more integration points. Numerical examples of both linear and non-linear PDE problems are discussed in the paper.

AB - A numerical time integration algorithm that combines the high accuracy of the precise time integration method and the computational efficiency of the finite difference schemes in this paper. The algorithm is explicit and unconditionally stable. It can also be modified easily to achieve different levels of accuracy by using more integration points. Numerical examples of both linear and non-linear PDE problems are discussed in the paper.

UR - https://engagedscholarship.csuohio.edu/scimath_facpub/76

UR - http://journals.ohiolink.edu/ejc/article.cgi?issn=00457825&issue=v130i1-2&article=163_oantimstdpde

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DO - 10.1016/0045-7825(95)00876-4

M3 - Article

VL - 130

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

On a New Time Integration Method for Solving Time Dependent Partial Differential Equations

Abstract

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