DAETS swMATH ID: 12535 Software Authors: Nedialkov, Nedialko S.; Pryce, John D. Description: Solving differential algebraic equations by Taylor series. III: The DAETs code. The authors have developed a Taylor series method for solving numerically an initial-value problem differential algebraic equation (DAE) that can be of high index, high order, nonlinear, and fully implicit [see part I, BIT 45, No. 3, 561–592 (2005; Zbl 1084.65075) and part II, BIT 41, 364–394 (2007; Zbl 1123.65080)]. Numerical results have shown this method to be efficient and very accurate, and particularly suitable for problems that are of too high an index for present DAE solvers. This paper outlines this theory and describes the design, implementation, usage and performance of DAETS, a DAE solver based on this theory and written in C++. Homepage: http://jnaiam.com/new/uploads/files/b4e0bdaa7990bbd1896fa3fafdd09f71.pdf Keywords: numerical results; differential algebraic equations; structural analysis; Taylor series; automatic differentiation Related Software: pythNon; SCHOL; VFGEN; Maple; ATOMFT; Taylor; Daesa; TIDES; Test Set IVP; SUNDIALS; Matlab; ADOL-C; Cosy; Mathematica; RODES; Dymola; MPFR; Symbolic Math Toolbox; gPROMS; GENDA Cited in: 37 Publications all top 5 Cited by 36 Authors 9 Pryce, John D. 8 Simos, Theodore E. 7 Nedialkov, Nedialko S. 7 Tan, Guangning 6 Anastassi, Zacharias A. 5 Vlachos, D. S. 4 Lamour, René 3 Abad, Alberto J. 3 Barrio, Roberto 3 Konguetsof, Avrilia 3 Rodríguez, Marcos 2 Al-Mdallal, Qasem M. 2 Blesa, Fernando 2 Estévez Schwarz, Diana 2 Hao, Han 2 McKenzie, Ross H. A. 2 Nguyen-Ba, Truong 2 Vaillancourt, Rémi 2 Yagoub, Hemza 1 Al Sakkaf, Laila Y. 1 Aschemann, Harald 1 Bervillier, Claude 1 Charpentier, Isabelle 1 Hasenauer, Jan 1 Kazeroonian, A. 1 Li, Xiao 1 Marco-Buzunáriz, Miguel A. 1 März, Roswitha 1 Minisini, Johanna 1 Mohanty, Ranjan Kumar 1 Monett, Dagmar 1 Panopoulos, G. A. 1 Rauh, Andreas 1 Skelton, Andrew 1 Theis, Fabian Joachim 1 Willms, Allan R. all top 5 Cited in 14 Serials 10 Journal of Mathematical Chemistry 5 Applied Mathematics and Computation 3 ACM Transactions on Mathematical Software 3 Journal of Computational and Applied Mathematics 2 BIT 2 Numerical Algorithms 2 Optimization Methods & Software 1 Journal of Mathematical Biology 1 Acta Applicandae Mathematicae 1 Journal of Computer and Systems Sciences International 1 Complexity 1 Journal of Applied Mathematics and Computing 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 International Journal of Differential Equations all top 5 Cited in 11 Fields 28 Numerical analysis (65-XX) 20 Ordinary differential equations (34-XX) 9 Quantum theory (81-XX) 5 Computer science (68-XX) 3 Approximations and expansions (41-XX) 2 Partial differential equations (35-XX) 2 Systems theory; control (93-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year