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

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

Abstract 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.

Stephen L. Campbell | S. Campbell

[1] Linda R. Petzold,et al. Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

[2] Volker Mehrmann,et al. Differential-Algebraic Equations: Analysis and Numerical Solution , 2006 .

[3] Paul I. Barton,et al. Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index , 1999, SIAM J. Sci. Comput..

[4] Vassilios S. Vassiliadis,et al. On the solution of differential-algebraic equations through gradient flow embedding , 2017, Comput. Chem. Eng..

[5] C. W. Gear,et al. The index of general nonlinear DAEs , 1995 .