MATLAB ODE suite swMATH ID: 12710 Software Authors: Shampine, L. F.; Reichelt, M. W. Description: The MATLAB ODE suite. The paper presents mathematical and software developments that are the basis for a suite of programs for the solution of initial value problems y ’ =F(t,y), with initial conditions y(t 0 )=y 0 . The solvers for stiff problems allow the more general form M(t)y ’ =f(t,y) with a nonsingular and sparse matrix M(t). The programs are developed for MATLAB, which influences the choice of methods and their implementation Homepage: https://www.mathworks.com/help/pdf_doc/otherdocs/ode_suite.pdf Dependencies: Matlab Related Software: Matlab; ode23; ode113; ode45; ode23s; Ode15s; RODAS; bvp4c; VODE; Simulink; DIMSIM; dde23; KELLEY; ODEPACK; SUNDIALS; AUTO; MATCONT; Chebfun; Maple; fminsearch Referenced in: 409 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The MATLAB ODE suite. Zbl 0868.65040Shampine, Lawrence F.; Reichelt, Mark W. 1997 all top 5 Referenced by 813 Authors 17 Shampine, Lawrence Fred 11 Jackiewicz, Zdzislaw 11 Weiner, Rüdiger 8 Abdi, Ali 7 Montijano, Juan Ignacio 7 Rández, Luis 6 Calvo, Manuel 6 Dutykh, Denys 6 Gobbert, Matthias K. 6 Hojjati, Gholamreza 5 Fazio, Riccardo 5 Kanwar, Vinay 5 Kelley, Carl T. 5 Kulikov, Gennady Yur’evich 5 Singh, Gurjinder 4 Bhatia, Saurabh 4 Chu, Moody T. 4 Dehghan Takht Fooladi, Mehdi 4 Lambers, James V. 4 Liao, Li-Zhi 4 Luo, Xinlong 4 Novati, Paolo 4 Podhaisky, Helmut 4 Ramos, Higinio 4 Thompson, Sylvester 4 Zubik-Kowal, Barbara 3 Almeida, Rui M. P. 3 Bartel, Andreas 3 Bowling, Alan P. 3 Byrne, Helen Mary 3 Chatterjee, Abhishek 3 Clamond, Didier 3 Corless, Robert Malcolm 3 Duchêne, Vincent 3 Eberhard, Peter 3 Enright, Wayne H. 3 Gaffney, Eamonn A. 3 Günther, Michael 3 Kierzenka, Jacek A. 3 Kolev, Mikhail K. 3 Kopecz, Stefan 3 Kühn, Christian 3 Laburta, María Pilar 3 Meister, Andreas 3 Meli, Enrico 3 Sabouri, Mania 3 Simpson, Matthew J. 3 Soleimani, Behnam 3 Tyson, Rebecca C. 3 Walker, Benjamin J. 2 Abelman, Shirley 2 Andreev, Anton Vladimirovich 2 Antontsev, Stanislav Nikolaevich 2 Aoki, Yasunori 2 Banks, Harvey Thomas 2 Barbieri, Luca 2 Bensow, Rickard E. 2 Bertaccini, Daniele 2 Bock, Hans Georg 2 Buccella, Giacomo 2 Chaplain, Mark A. J. 2 Chiavazzo, Eliodoro 2 Cuomo, Salvatore 2 Diele, Fasma 2 Duque, José C. M. 2 Ganesh, Mahadevan 2 Ghahramani, Ebrahim 2 Giannino, Francesco 2 Guimarães, Osvaldo 2 Guo, Quanlin 2 Hayami, Ken 2 Iacono, Salvatore 2 Ishimoto, Kenta 2 Iyaniwura, Sarafa A. 2 Jannelli, Alessandra 2 Joly, Marcel 2 Jorcyk, C. L. 2 Judd, Kevin 2 Kim, Philsu 2 Kirkinis, Eleftherios 2 Klinge, Marcel 2 Konagaya, Akihiko 2 Kuznetsov, Yuri Alexandrovich 2 Kvaerno, Anne 2 Lane, W. D. 2 Maini, Philip Kumar 2 Malgesini, Roberto 2 McCue, Scott William 2 Montagu, E. L. 2 Moroney, Timothy J. 2 Ng, Michael Kwok-Po 2 Norbury, John W. 2 Piiroinen, Petri T. 2 Piqueira, José Roberto Castilho 2 Plank, Michael J. 2 Potschka, Andreas 2 Reichelt, Mark W. 2 Ridolfi, Alessandro 2 Russo, Lucia 2 Schmitt, Bernhard A. ...and 713 more Authors all top 5 Referenced in 141 Serials 27 Applied Numerical Mathematics 24 Journal of Computational and Applied Mathematics 16 Applied Mathematics and Computation 16 Journal of Theoretical Biology 14 SIAM Journal on Scientific Computing 11 Computers & Mathematics with Applications 11 Journal of Fluid Mechanics 11 Applied Mathematical Modelling 10 Journal of Computational Physics 10 ACM Transactions on Mathematical Software 10 Multibody System Dynamics 9 BIT 8 Numerical Algorithms 7 Journal of Mathematical Biology 7 Mathematical and Computer Modelling 7 Mathematical Problems in Engineering 5 Journal of Scientific Computing 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematical Biosciences 4 SIAM Journal on Numerical Analysis 4 Physica D 4 Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 3 Acta Mechanica 3 Computers and Fluids 3 Journal of Engineering Mathematics 3 Mathematical Methods in the Applied Sciences 3 Chaos, Solitons and Fractals 3 Calcolo 3 Journal of Differential Equations 3 SIAM Journal on Matrix Analysis and Applications 3 European Journal of Applied Mathematics 3 Linear Algebra and its Applications 3 SIAM Review 3 Celestial Mechanics and Dynamical Astronomy 3 Nonlinear Dynamics 3 Nonlinear Analysis. 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Zeitschrift für Angewandte Mathematik und Mechanik 2 Mathematical and Computer Modelling of Dynamical Systems 2 Mathematical Biosciences and Engineering 2 Applied Mathematical Sciences 2 Computational & Mathematical Methods in Medicine 1 Biological Cybernetics 1 Computer Physics Communications 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 International Journal of Multiphase Flow 1 International Journal of Non-Linear Mechanics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Solids and Structures 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Physics Letters. A 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Theoretical and Computational Fluid Dynamics 1 Automatica 1 Computing 1 Information Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Optimization 1 New Generation Computing 1 Numerical Methods for Partial Differential Equations 1 Annals of Operations Research 1 Journal of Global Optimization 1 European Journal of Operational Research 1 Pattern Recognition 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Computational Optimization and Applications 1 Computational Economics 1 The Canadian Applied Mathematics Quarterly ...and 41 more Serials all top 5 Referenced in 33 Fields 234 Numerical analysis (65-XX) 94 Ordinary differential equations (34-XX) 84 Biology and other natural sciences (92-XX) 66 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 29 Mechanics of deformable solids (74-XX) 22 Mechanics of particles and systems (70-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Systems theory; control (93-XX) 19 Operations research, mathematical programming (90-XX) 17 Classical thermodynamics, heat transfer (80-XX) 13 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Probability theory and stochastic processes (60-XX) 9 Statistics (62-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Integral equations (45-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Referencing Publications by Year