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Algorithm 948: DAESA – a Matlab tool for structural analysis of differential-algebraic equations: software. (English) Zbl 1371.65075


MSC:

65L80 Numerical methods for differential-algebraic equations
65Y15 Packaged methods for numerical algorithms
34A09 Implicit ordinary differential equations, differential-algebraic equations
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References:

[1] K. Brenan, S. Campbell, and L. Petzold. 1996. Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, 2nd Ed. SIAM, Philadelphia, PA. · Zbl 0844.65058
[2] P. Bunus. 2004. Debugging techniques for equation-based languages. Ph.D. dissertation. Department of Computer and Information Science, Linköping University, Sweden.
[3] A. C. Hindmarsh, P. N. Brown, K. E. Grant, S. L. Lee, R. Serban, D. E. Shumaker, and C. S. Woodward. 2005. SUNDIALS, Suite of Nonlinear and Differential/Algebraic Equation Solvers. ACM Trans. Math. Softw. 31, 3, 363–396. · Zbl 1136.65329 · doi:10.1145/1089014.1089020
[4] S. E. Mattsson and G. Söderlind. 1993. Index reduction in differential-algebraic equations using dummy derivatives. SIAM J. Sci. Comput. 14, 3, 677–692. · Zbl 0785.65080
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[6] R. McKenzie, N. S. Nedialkov, J. Pryce, and G. Tan. 2013. DAESA user guide. Tech. rep., Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada, L8S 4K1. http://www.cas.mcmaster.ca/ nedialk/daesa/daesaUserGuide.pdf.
[7] N. Nedialkov and J. Pryce. 2008–2009. DAETS user guide. Tech. rep., Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada, L8S 4K1. · Zbl 1188.65111
[8] N. S. Nedialkov and J. D. Pryce. 2005. Solving differential-algebraic equations by Taylor series (I): Computing Taylor coefficients. BIT 45, 561–591. · Zbl 1084.65075 · doi:10.1007/s10543-005-0019-y
[9] N. S. Nedialkov and J. D. Pryce. 2007. Solving differential-algebraic equations by Taylor series (II): Computing the System Jacobian. BIT 47, 1, 121–135. · Zbl 1123.65080 · doi:10.1007/s10543-006-0106-8
[10] N. S. Nedialkov and J. D. Pryce. 2008. Solving differential-algebraic equations by Taylor series (III): The DAETS code. J. Numer. Analy. Indust. Appl. Math. 3, 1–2, 61–80. ISSN 17908140. · Zbl 1188.65111
[11] J. D. Pryce. 2001. A simple structural analysis method for DAEs. BIT 41, 2, 364–394. · Zbl 0989.34005 · doi:10.1023/A:1021998624799
[12] J. Pryce, R. K. Ghaziani, V. D. Witte, and W. Govaerts. 2010. Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. Math. Comput. Simul. 81, 1, 109–119. · Zbl 1203.65049 · doi:10.1016/j.matcom.2010.07.014
[13] J. D. Pryce, N. S. Nedialkov, and G. Tan. 2015. DAESA — A Matlab tool for structural analysis of differential-algebric equations: Theory. ACM Trans. Math. Softw. 41, 2, Article 9 (January 2015), 20 pages. DOI: http://dx.doi.org/10.1145/2700586. · Zbl 1371.65075 · doi:10.1145/2700586
[14] I. Washington and C. Swartz. 2011. On the numerical robustness of differential-algebraic distillation models. In Proceedings of the 61st Canadian Chemical Engineering Conference.
[15] L. T. Watson. 1979. A globally convergent algorithm for computing fixed points ofC2maps. Appl. Math. Comput. 5, 297–311. · Zbl 0445.65032 · doi:10.1016/0096-3003(79)90020-1
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