A note on discrete dynamic iterations of stiff index-2 DAE's

Wei Sun; Yao Lin Jiang

doi:10.1016/j.amc.2005.03.017

A note on discrete dynamic iterations of stiff index-2 DAE's

Wei Sun
, Yao Lin Jiang

School of Mathematics and Statistics

Xi'an Jiaotong University
Air Force Engineering University Xian

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

3 Scopus citations

Abstract

For solving stiff differential-algebraic systems of index-2, the paper studies the discrete dynamic iteration processes that are based on Runge-Kutta methods. The new convergence results are obtained, which are relevant in applications to nonlinear stiff differential-algebraic systems of index-2. The existence and uniqueness of the solutions are derived.

Original language	English
Pages (from-to)	1201-1211
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	172
Issue number	2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.amc.2005.03.017
State	Published - 15 Jan 2006

Keywords

Convergence
Discrete dynamic iteration
Iterative processes
Runge-Kutta methods
Stiff differential-algebraic systems

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10.1016/j.amc.2005.03.017

Cite this

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title = "A note on discrete dynamic iterations of stiff index-2 DAE's",

abstract = "For solving stiff differential-algebraic systems of index-2, the paper studies the discrete dynamic iteration processes that are based on Runge-Kutta methods. The new convergence results are obtained, which are relevant in applications to nonlinear stiff differential-algebraic systems of index-2. The existence and uniqueness of the solutions are derived.",

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AU - Sun, Wei

AU - Jiang, Yao Lin

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N2 - For solving stiff differential-algebraic systems of index-2, the paper studies the discrete dynamic iteration processes that are based on Runge-Kutta methods. The new convergence results are obtained, which are relevant in applications to nonlinear stiff differential-algebraic systems of index-2. The existence and uniqueness of the solutions are derived.

AB - For solving stiff differential-algebraic systems of index-2, the paper studies the discrete dynamic iteration processes that are based on Runge-Kutta methods. The new convergence results are obtained, which are relevant in applications to nonlinear stiff differential-algebraic systems of index-2. The existence and uniqueness of the solutions are derived.

KW - Convergence

KW - Discrete dynamic iteration

KW - Iterative processes

KW - Runge-Kutta methods

KW - Stiff differential-algebraic systems

UR - https://www.scopus.com/pages/publications/31644447413

U2 - 10.1016/j.amc.2005.03.017

DO - 10.1016/j.amc.2005.03.017

M3 - 文章

AN - SCOPUS:31644447413

SN - 0096-3003

VL - 172

SP - 1201

EP - 1211

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2 SPEC. ISS.

ER -

A note on discrete dynamic iterations of stiff index-2 DAE's

Abstract

Keywords

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