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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
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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
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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
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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)

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