Comment on solution of differential-algebraic equations through gradient flow embedding

被引:0
|
作者
Campbell, Stephen L. [1 ]
机构
[1] North Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USA
关键词
Differential-algebraic equations; Gradient flows; Index; Ordinary differential equations; INDEX;
D O I
10.1016/j.compchemeng.2017.07.008
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The paper "On the solution of differential-algebraic equations through gradient flow embedding," Computers and Chemical Engineering, 103 (2017), 165-173, presents an algorithm that is designed to integrate some index one DAEs. This letter reviews index one DAEs, and clarifies how the assumptions of the algorithm fit within a more general framework. The types of index one DAEs for which the new algorithm are not appropriate are discussed. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:529 / 531
页数:3
相关论文
共 50 条
  • [1] On the solution of differential-algebraic equations through gradient flow embedding
    del Rio-Chanona, Ehecatl Antonio
    Bakker, Craig
    Fiorelli, Fabio
    Paraskevopoulos, Michail
    Scott, Felipe
    Conejeros, Raul
    Vassiliadis, Vassilios S.
    COMPUTERS & CHEMICAL ENGINEERING, 2017, 103 : 165 - 175
  • [2] INDEX REDUCTION FOR DEGENERATED DIFFERENTIAL-ALGEBRAIC EQUATIONS BY EMBEDDING
    Yang, Wenqiang
    Wu, Wenyuan
    Reid, Greg
    arXiv, 2022,
  • [3] SIMULTANEOUS NUMERICAL SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
    GEAR, CW
    IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (01): : 89 - &
  • [4] The numerical solution of partial differential-algebraic equations
    Muhammed Yigider
    Ercan Çelik
    Advances in Difference Equations, 2013
  • [5] Numerical solution of linear differential-algebraic equations
    Hosseini, MM
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (01) : 7 - 14
  • [6] The numerical solution of partial differential-algebraic equations
    Yigider, Muhammed
    Celik, Ercan
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [7] An algorithm for a numerical solution of differential-algebraic equations
    Pasic, H
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 4912 - 4917
  • [8] Numerical solution of hybrid systems of differential-algebraic equations
    Hamann, Peter
    Mehrmann, Volker
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (6-8) : 693 - 705
  • [9] On the numerical solution of differential-algebraic equations by Pade series
    Çelik, E
    Bayram, M
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) : 151 - 160
  • [10] Adomian decomposition method for solution of differential-algebraic equations
    Hosseini, M. M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 197 (02) : 495 - 501