ATOMFT swMATH ID: 9274 Software Authors: Chang, Y.F.; Corliss, G. Description: ATOMFT: Solving ODEs and DAEs using Taylor series. The ATOMFT system, based on a Taylor series method, is designated to solve stiff and nonstiff initial value problems for ordinary differential and differential-algebraic equations. In the paper applications of this system to various problems are given. Homepage: http://www.sciencedirect.com/science/article/pii/0898122194001936 Keywords: stiff equations; ATOMFT systems; differential-algebraic equations Related Software: Taylor; DAETS; TIDES; Cosy; Mathematica; RODAS; ADOL-C; RODES; MPFR; mctoolbox; Test Set IVP; ADIFOR; NBODY4; SUNDIALS; Taylor center; FADBAD++; AD01; INDEXNET; InitDAE; OpenModelica Referenced in: 42 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year ATOMFT: Solving ODEs and DAEs using Taylor series. Zbl 0810.65072Chang, Y. F.; Corliss, G. 1994 all top 5 Referenced by 63 Authors 7 Barrio, Roberto 4 Rodríguez, Marcos 3 Abad, Alberto J. 3 Blesa, Fernando 3 Nedialkov, Nedialko S. 3 Nguyen-Ba, Truong 3 Pryce, John D. 3 Vaillancourt, Rémi 3 Wu, Xinyuan 2 Al-Mdallal, Qasem M. 2 Al-Smadi, Mohammed H. 2 Charpentier, Isabelle 2 Corliss, George F. 2 Erdelyi, Bela 2 Estévez Schwarz, Diana 2 Hao, Han 2 Lamour, René 2 Marzouk, Afnan Al 2 Yagoub, Hemza 1 Adel, Waleed 1 Al Sakkaf, Laila Y. 1 Amore, Paolo 1 Arqub, Omar Abu 1 Banerjee, Joydeep M. 1 Bervillier, Claude 1 Biscay, Rolando J. 1 Bozic, Vladan 1 Carbonell, Felix 1 Corless, Robert Malcolm 1 dal Cappello, Claude 1 de la Cruz, H. 1 El-Ajou, Ahmad 1 Freihet, Asad 1 Gaith, Mohamed 1 Günerhan, Hatira 1 Hasan, Shatha 1 Ilie, Silvana 1 Jackson, Kenneth R. 1 Jimenez, Juan Carlos 1 Jorba, Àngel 1 Khan, Ishtiaq Rasool 1 Lejeune, Arnaud 1 Marco-Buzunáriz, Miguel A. 1 McPhee, John J. 1 Miletics, E. 1 Molnárka, Győző 1 Momani, Shaher M. 1 Neidinger, Richard D. 1 Ohba, Ryoji 1 Ozaki, Tohru 1 Potier-Ferry, Michel 1 Rezazadeh, Hadi 1 Rokityanskaya, V. N. 1 Schaumburg, Herman D. 1 Shevchenko, A. N. 1 Shokri, Ali 1 Tariq, Hira 1 Thelwell, Roger J. 1 Utke, Jean 1 Warne, Debra A. 1 Warne, Paul G. 1 Xia, Jianlin 1 Zou, Maorong all top 5 Referenced in 21 Serials 10 Applied Mathematics and Computation 4 Computers & Mathematics with Applications 3 BIT 3 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 SIAM Journal on Scientific Computing 1 ACM Transactions on Mathematical Software 1 Physica D 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 SIAM Review 1 Cybernetics and Systems Analysis 1 Experimental Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Acta Universitatis Matthiae Belii. Series Mathematics 1 Complexity 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Asian-European Journal of Mathematics 1 International Journal of Differential Equations all top 5 Referenced in 12 Fields 36 Numerical analysis (65-XX) 22 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Referencing Publications by Year