## DASSL

 swMATH ID: 3174 Software Authors: L. Petzold Description: Subroutine DDASSL uses the backward differentiation formulas of orders one through five to solve a system of the above form for Y and YPRIME. Values for Y and YPRIME at the initial time must be given as input. These values must be consistent, (that is, if T,Y,YPRIME are the given initial values, they must satisfy G(T,Y,YPRIME) = 0.). The subroutine solves the system from T to TOUT. It is easy to continue the solution to get results at additional TOUT. This is the interval mode of operation. Intermediate results can also be obtained easily by using the intermediate-output capability. Homepage: http://www.dm.uniba.it/~testset/solvers/dassl.php Programming Languages: Fortran 77 Related Software: RODAS; LSODE; VODE; MEBDF; MOVCOL; Matlab; CWRESX; CWRESU; Algorithm 731; SUNDIALS; Modelica; DIFSUB; PDECOL; ODEPACK; RADAU; CHEMKIN; MEXX; SIMPACK; EPDCOL; MOVCOL4 Referenced in: 260 Publications
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### Referenced by 350 Authors

 15 Petzold, Linda Ruth 14 Budd, Christopher John 11 Russell, Robert D. 9 Adjerid, Slimane 9 Flaherty, Joseph E. 7 Kunkel, Peter 7 Martín-Vaquero, Jesús 7 Mehrmann, Volker 6 Huang, Weizhang 5 Campbell, Stephen LaVern 5 Zegeling, Paul Andries 4 Gerdts, Matthias 4 Keast, Patrick 4 Leimkuhler, Benedict J. 4 Ma, Jingtang 4 Muir, Paul H. 4 Segeth, Karel 4 Stockie, John M. 4 Wang, Rong 3 Anh, Vo V. 3 Cash, Jeff R. 3 Collins, G. J. 3 Dieci, Luca 3 Führer, Claus 3 Haynes, Ronald D. 3 Hindmarsh, Alan C. 3 Hinze, Michael 3 Huang, Jingfang 3 Jiang, Yingjun 3 Kelley, Carl T. 3 Liu, Fawang 3 McFadden, Geoffrey Bey 3 Murray, Bruce T. 3 Nguyen-Ba, Truong 3 Söderlind, Gustaf 3 Turner, Ian William 3 Van Vleck, Erik S. 3 Vigo-Aguiar, Jesus 2 Álvarez Díaz, Lilliam 2 Arnold, Martin 2 Babuška, Ivo 2 Balmforth, Neil J. 2 Barton, Paul I. 2 Berzins, Martin 2 Braun, Richard J. 2 Breedveld, Peter C. 2 Brenan, Kathryn E. 2 Brown, Peter N. 2 Cao, Yang 2 Chartier, Philippe 2 Chen, Jianping 2 Coriell, Sam R. 2 Deuflhard, Peter 2 Dormido, Sebastián 2 Elmer, Christopher Erhart 2 Etienne, Stéphane 2 Felez, Jesus 2 Fox, Bud 2 Funes, Francisco Javier 2 Galaktionov, Victor Aleksandrovich 2 García de Jalón, Javier 2 Garon, André 2 Gear, Charles William 2 Giordano, Thierry 2 Hall, Charles Allan 2 Hay, Alexander 2 Hulbert, Gregory M. 2 Jennings, Leslie Stephen 2 Jiménez, José Manuel 2 Keerthi, S. Sathiya 2 Kleefeld, B. 2 Kunkel, Martin 2 Larrouturou, Bernard 2 Li, Shengtai 2 Lubich, Christian 2 Miller, Cass T. 2 Minion, Michael L. 2 Peletier, Mark Adriaan 2 Pelletier, Dominique H. 2 Piggott, Matthew D. 2 Promislow, Keith Steven 2 Ramos, Higinio 2 Rasheed, Amer 2 Roche, Michel 2 Rodríguez, José Ignacio 2 Saucez, Philippe 2 Schiesser, William E. 2 Šolín, Pavel 2 Spiteri, Raymond J. 2 Su, Ninghu 2 Tseng, Fang-Chung 2 Valiño Alonso, Baldomero 2 Vande Wouwer, Alain 2 Yebra, Luis J. 2 Yen, Jeng 2 Zhang, Wen 2 Zomaya, Albert Y. 1 Aiffa, Mohammed 1 Åkesson, Johan 1 Alhumaizi, Khalid ...and 250 more Authors
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### Referenced in 80 Serials

 22 Applied Numerical Mathematics 17 Journal of Computational and Applied Mathematics 13 Journal of Computational Physics 13 SIAM Journal on Numerical Analysis 9 ACM Transactions on Mathematical Software 9 Multibody System Dynamics 8 Computer Methods in Applied Mechanics and Engineering 8 Numerische Mathematik 8 SIAM Journal on Scientific Computing 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 SIAM Journal on Applied Mathematics 5 Mathematical and Computer Modelling of Dynamical Systems 4 BIT 3 International Journal for Numerical Methods in Fluids 3 Journal of Fluid Mechanics 3 Journal of the Franklin Institute 3 Mathematics and Computers in Simulation 3 SIAM Journal on Scientific and Statistical Computing 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Combustion Theory and Modelling 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Physics of Fluids, A 2 Mathematics of Computation 2 International Journal for Numerical Methods in Engineering 2 Revista Ciencias Matemáticas 2 Applications of Mathematics 2 Mathematical Modelling of Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Numerica 2 Science China. Mathematics 1 Biological Cybernetics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal of Multiphase Flow 1 Journal of Applied Mechanics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Calcolo 1 Computing 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Optimal Control Applications & Methods 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 IMPACT of Computing in Science and Engineering 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Computing Surveys 1 International Journal of Computer Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Physics of Fluids 1 Economic Theory 1 ETNA. Electronic Transactions on Numerical Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Monte Carlo Methods and Applications 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 The Korean Journal of Computational & Applied Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 CMES. Computer Modeling in Engineering & Sciences 1 Matematicheskoe Modelirovanie 1 Computational Methods in Applied Mathematics 1 Mathematical Geology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Mathematical Biosciences and Engineering 1 GAMM-Mitteilungen 1 Classics in Applied Mathematics 1 World Scientific Series in Robotics and Intelligent Systems 1 Journal of Modern Methods in Numerical Mathematics
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### Referenced in 26 Fields

 185 Numerical analysis (65-XX) 84 Ordinary differential equations (34-XX) 70 Partial differential equations (35-XX) 38 Fluid mechanics (76-XX) 26 Mechanics of particles and systems (70-XX) 18 Classical thermodynamics, heat transfer (80-XX) 15 Systems theory; control (93-XX) 12 Mechanics of deformable solids (74-XX) 12 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 4 Computer science (68-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)