RODAS swMATH ID: 4112 Software Authors: E. Hairer, G. Wanner Description: Rosenbrock method of order 4(3), for problems of the form My’=f(x,y) with possibly singular matrix M; with dense output; algebraic order conditions are considered Concerning the linear algebra routines the user has the choice to link the code with DC_DECSOL and DECSOL or with DC_LAPACK and LAPACK and LAPACKC (actually, the file LAPACKC and the routines of DC_LAPACK which need COMPLEX*16 are not used) Homepage: http://www.unige.ch/~hairer/software.html Programming Languages: Fortran 77, C++, Matlab Keywords: Rosenbrock method; ordinary differential equation; ODE solver Related Software: Matlab; Ode15s; MEBDF; MATLAB ODE suite; ode23; ode45; ode23s; ode113; DASSL; VODE; RKC; RADAU; Mathematica; SUNDIALS; GitHub; PETSc; Expokit; ROS3P; S-ROCK; ODEPACK Cited in: 1,834 Documents all top 5 Cited by 2,308 Authors 35 Jackiewicz, Zdzislaw 30 Sandu, Adrian 26 D’Ambrosio, Raffaele 23 Kulikov, Gennady Yur’evich 22 Lubich, Christian 19 Hairer, Ernst 18 Akrivis, Georgios D. 18 González-Pinto, Severiano 18 Ostermann, Alexander 17 Abdi, Ali 17 Hojjati, Gholamreza 17 Weiner, Rüdiger 17 Xiao, Aiguo 17 Zhang, Chengjian 16 Paternoster, Beatrice 16 Wang, Wansheng 15 Hundsdorfer, Willem H. 15 Li, Shoufu 15 Rogov, Boris V. 14 Hernandez-Abreu, Domingo 14 Mehrmann, Volker 14 Zlatev, Zahari 13 Brugnano, Luigi 13 Russo, Giovanni 13 Sommeijer, Ben P. 13 van der Houwen, Pieter J. 12 Boscarino, Sebastiano 12 Guglielmi, Nicola 12 Izzo, Giuseppe 12 Luk’yanenko, Dmitriĭ Vital’evich 12 Verwer, Jan G. 11 Butcher, John C. 11 Minion, Michael L. 11 Zhao, Jingjun 10 Abdulle, Assyr 10 Bulatov, Mikhail Valer’yanovich 10 Conte, Dajana 10 Gan, Siqing 10 Lang, Jens 10 Li, Buyang 10 Martín-Vaquero, Jesús 10 Pérez Rodríguez, S. 10 Rang, Joachim 10 Söderlind, Gustaf 10 Tian, Hongjiong 10 Vermeire, Brian C. 9 Chen, Hao 9 Günther, Michael 9 Jay, Laurent-Olivier 9 Liu, Mingzhu 9 Pulch, Roland 9 Xu, Yang 8 Cash, Jeff R. 8 Christlieb, Andrew J. 8 de Swart, Jacques J. B. 8 Higueras, Inmaculada 8 Kovács, Balázs 8 Linh, Vu Hoang 8 Luan, Vu Thai 8 Montijano, Juan Ignacio 8 Ramos, Higinio 8 Solovarova, Lyubov’ Stepanovna 8 Vilmart, Gilles 7 Auzinger, Winfried 7 Bassi, Francesco 7 Chan, Robert Peng Kong 7 Chartier, Philippe 7 Faragó, István 7 Havasi, Ágnes 7 Ikhile, Monday Ndidi Oziegbe 7 Ketcheson, David I. 7 Khaliq, Abdul Q. M. 7 Kim, Philsu 7 Magherini, Cecilia 7 Mazzia, Francesca 7 Novikov, Evgeniĭ Aleksandrovich 7 Skvortsov, L. M. 7 Tranquilli, Paul 7 Wanner, Gerhard 6 Alonso-Mallo, Isaías 6 Bartel, Andreas 6 Bayram, Mustafa 6 Bottasso, Carlo L. 6 Braś, Michał 6 Bu, Sunyoung 6 Burrage, Kevin 6 Cardone, Angelamaria 6 Carpenter, Mark H. 6 Chikitkin, A. V. 6 Gerdts, Matthias 6 Hauck, Cory D. 6 Iavernaro, Felice 6 Kalitkin, Nikolaĭ Nikolaevich 6 Kauthen, Jean-Paul 6 Kennedy, Christopher A. 6 López-Fernández, María 6 Luo, Xinlong 6 Pareschi, Lorenzo 6 Raha, Soumyendu 6 Ranocha, Hendrik ...and 2,208 more Authors all top 5 Cited in 243 Serials 208 Journal of Computational and Applied Mathematics 203 Applied Numerical Mathematics 150 Journal of Computational Physics 74 Applied Mathematics and Computation 73 BIT 59 Computer Methods in Applied Mechanics and Engineering 59 Journal of Scientific Computing 53 Computers & Mathematics with Applications 52 Numerical Algorithms 43 SIAM Journal on Scientific Computing 39 Mathematics and Computers in Simulation 33 Mathematics of Computation 33 Numerische Mathematik 30 SIAM Journal on Numerical Analysis 26 Multibody System Dynamics 22 Computational Mathematics and Mathematical Physics 19 Computers and Fluids 16 Communications in Nonlinear Science and Numerical Simulation 15 Computational and Applied Mathematics 15 Doklady Mathematics 14 Calcolo 13 Computer Physics Communications 13 Applied Mathematics Letters 13 Applied Mathematical Modelling 13 Journal of Mathematical Chemistry 12 Computing 12 Mathematical and Computer Modelling 12 Nonlinear Dynamics 10 Celestial Mechanics and Dynamical Astronomy 9 Journal of Mathematical Analysis and Applications 9 International Journal of Computer Mathematics 9 Advances in Computational Mathematics 9 Journal of Applied Mathematics and Computing 9 Advances in Difference Equations 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Journal of Dynamics and Differential Equations 6 Physica D 6 Computational Mechanics 6 Abstract and Applied Analysis 6 Differential Equations 6 Foundations of Computational Mathematics 6 Communications in Computational Physics 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of the Franklin Institute 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 Journal of Optimization Theory and Applications 5 Linear Algebra and its Applications 5 Mathematical Problems in Engineering 5 Combustion Theory and Modelling 5 Discrete and Continuous Dynamical Systems. Series B 5 Communications on Applied Mathematics and Computation 4 Mathematical Biosciences 4 Meccanica 4 SIAM Journal on Control and Optimization 4 Bulletin of the Iranian Mathematical Society 4 Journal of Computational Mathematics 4 Journal of Mathematical Sciences (New York) 4 Computing and Visualization in Science 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Matematicheskoe Modelirovanie 4 International Journal of Computational Methods 4 Mediterranean Journal of Mathematics 4 Journal of Theoretical Biology 4 International Journal of Applied and Computational Mathematics 3 Ukrainian Mathematical Journal 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 Automatica 3 Journal of the Nigerian Mathematical Society 3 COMPEL 3 SIAM Journal on Matrix Analysis and Applications 3 MCSS. Mathematics of Control, Signals, and Systems 3 Japan Journal of Industrial and Applied Mathematics 3 Cybernetics and Systems Analysis 3 Computational Optimization and Applications 3 ETNA. Electronic Transactions on Numerical Analysis 3 Vietnam Journal of Mathematics 3 Discrete Dynamics in Nature and Society 3 Optimization and Engineering 3 Nonlinear Analysis. Real World Applications 3 Computational Methods in Applied Mathematics 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Numerical Mathematics 3 International Journal of Numerical Analysis and Modeling 3 Springer Series in Computational Mathematics 3 Advances in Applied Mathematics and Mechanics 3 Afrika Matematika 2 Acta Mechanica 2 Discrete Applied Mathematics 2 Wave Motion 2 Chaos, Solitons and Fractals 2 Acta Mathematica Vietnamica 2 Journal of Multivariate Analysis 2 Kyungpook Mathematical Journal 2 Computational Mathematics and Modeling 2 The Annals of Applied Probability 2 European Journal of Operational Research 2 Journal of Elasticity 2 SIAM Review 2 Archive of Applied Mechanics ...and 143 more Serials all top 5 Cited in 43 Fields 1,509 Numerical analysis (65-XX) 583 Ordinary differential equations (34-XX) 364 Partial differential equations (35-XX) 200 Fluid mechanics (76-XX) 103 Mechanics of particles and systems (70-XX) 90 Probability theory and stochastic processes (60-XX) 84 Biology and other natural sciences (92-XX) 77 Dynamical systems and ergodic theory (37-XX) 74 Mechanics of deformable solids (74-XX) 58 Classical thermodynamics, heat transfer (80-XX) 57 Systems theory; control (93-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 40 Integral equations (45-XX) 31 Computer science (68-XX) 31 Optics, electromagnetic theory (78-XX) 27 Operations research, mathematical programming (90-XX) 23 Statistical mechanics, structure of matter (82-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Geophysics (86-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Information and communication theory, circuits (94-XX) 16 Approximations and expansions (41-XX) 16 Operator theory (47-XX) 15 Real functions (26-XX) 13 Statistics (62-XX) 13 Quantum theory (81-XX) 9 History and biography (01-XX) 9 Difference and functional equations (39-XX) 8 Relativity and gravitational theory (83-XX) 6 Integral transforms, operational calculus (44-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) Citations by Year