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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; ode23s; ode113; ode45; DASSL; VODE; RKC; RADAU; Mathematica; SUNDIALS; PETSc; GitHub; Expokit; ROS3P; S-ROCK; ODEPACK
Referenced in: 1,741 Publications
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Referenced by 2,174 Authors

34 Jackiewicz, Zdzislaw
28 Sandu, Adrian
23 D’Ambrosio, Raffaele
23 Kulikov, Gennady Yur’evich
22 Lubich, Christian
18 Akrivis, Georgios D.
18 Hairer, Ernst
17 González-Pinto, Severiano
17 Ostermann, Alexander
17 Weiner, Rüdiger
17 Zhang, Chengjian
16 Xiao, Aiguo
15 Abdi, Ali
15 Hundsdorfer, Willem H.
15 Paternoster, Beatrice
15 Rogov, Boris V.
14 Li, Shoufu
14 Wang, Wansheng
14 Zlatev, Zahari
13 Arnold, Martin
13 Brugnano, Luigi
13 Hernandez-Abreu, Domingo
13 Hojjati, Gholamreza
13 Mehrmann, Volker
13 Russo, Giovanni
13 Sommeijer, Ben P.
13 van der Houwen, Pieter J.
12 Boscarino, Sebastiano
12 Guglielmi, Nicola
12 Luk’yanenko, Dmitriĭ Vital’evich
12 Verwer, Jan G.
11 Butcher, John C.
11 Izzo, Giuseppe
10 Abdulle, Assyr
10 Gan, Siqing
10 Lang, Jens
10 Li, Buyang
10 Martín-Vaquero, Jesús
10 Minion, Michael L.
10 Pérez Rodríguez, S.
10 Rang, Joachim
10 Söderlind, Gustaf
10 Tian, Hongjiong
10 Zhao, Jingjun
9 Bulatov, Mikhail Valer’yanovich
9 Conte, Dajana
9 Jay, Laurent-Olivier
9 Pulch, Roland
8 Cash, Jeff R.
8 Christlieb, Andrew J.
8 de Swart, Jacques J. B.
8 Günther, Michael
8 Higueras, Inmaculada
8 Kovács, Balázs
8 Linh, Vu Hoang
8 Liu, Mingzhu
8 Montijano, Juan Ignacio
8 Vilmart, Gilles
8 Xu, Yang
7 Auzinger, Winfried
7 Bassi, Francesco
7 Chan, Robert Peng Kong
7 Chartier, Philippe
7 Faragó, István
7 Havasi, Ágnes
7 Khaliq, Abdul Q. M.
7 Kim, Philsu
7 Luan, Vu Thai
7 Magherini, Cecilia
7 Mazzia, Francesca
7 Tranquilli, Paul
7 Vermeire, Brian C.
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 Novikov, Evgeniĭ Aleksandrovich
6 Pareschi, Lorenzo
6 Raha, Soumyendu
6 Ramos, Higinio
6 Riaza, Ricardo
6 Shampine, Lawrence Fred
6 Skvortsov, L. M.
6 Solovarova, Lyubov’ Stepanovna
6 Spijker, Marc N.
...and 2,074 more Authors
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Referenced in 236 Serials

202 Applied Numerical Mathematics
201 Journal of Computational and Applied Mathematics
140 Journal of Computational Physics
73 Applied Mathematics and Computation
67 BIT
58 Computer Methods in Applied Mechanics and Engineering
54 Journal of Scientific Computing
50 Computers & Mathematics with Applications
49 Numerical Algorithms
39 Mathematics and Computers in Simulation
38 SIAM Journal on Scientific Computing
33 Mathematics of Computation
33 Numerische Mathematik
27 SIAM Journal on Numerical Analysis
26 Multibody System Dynamics
20 Computational Mathematics and Mathematical Physics
18 Computers and Fluids
16 Communications in Nonlinear Science and Numerical Simulation
15 Doklady Mathematics
13 Computational and Applied Mathematics
12 Computing
12 Applied Mathematics Letters
12 Mathematical and Computer Modelling
12 Journal of Mathematical Chemistry
12 Nonlinear Dynamics
11 Calcolo
11 Applied Mathematical Modelling
10 Celestial Mechanics and Dynamical Astronomy
9 International Journal of Computer Mathematics
9 Advances in Computational Mathematics
9 Journal of Applied Mathematics and Computing
9 Advances in Difference Equations
8 Journal of Mathematical Analysis and Applications
7 Computer Physics Communications
7 Journal of Dynamics and Differential Equations
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Physica D
6 Computational Mechanics
6 Abstract and Applied Analysis
6 Foundations of Computational Mathematics
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 Differential Equations
4 Mathematical Biosciences
4 Meccanica
4 SIAM Journal on Control and Optimization
4 Combustion Theory and Modelling
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 International Journal of Computational Methods
4 Mediterranean Journal of Mathematics
4 Communications in Computational Physics
4 Journal of Theoretical Biology
4 International Journal of Applied and Computational Mathematics
4 Communications on Applied Mathematics and Computation
3 Ukrainian Mathematical Journal
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 Automatica
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 Journal of Mathematical Sciences (New York)
3 ETNA. Electronic Transactions on Numerical Analysis
3 Computing and Visualization in Science
3 Vietnam Journal of Mathematics
3 Discrete Dynamics in Nature and Society
3 Optimization and Engineering
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
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 Bulletin of the Iranian Mathematical Society
2 Journal of the Nigerian Mathematical Society
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
2 Russian Mathematics
2 Journal of Inverse and Ill-Posed Problems
...and 136 more Serials
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Referenced in 43 Fields

1,427 Numerical analysis (65-XX)
571 Ordinary differential equations (34-XX)
348 Partial differential equations (35-XX)
189 Fluid mechanics (76-XX)
101 Mechanics of particles and systems (70-XX)
81 Probability theory and stochastic processes (60-XX)
80 Biology and other natural sciences (92-XX)
73 Dynamical systems and ergodic theory (37-XX)
72 Mechanics of deformable solids (74-XX)
57 Systems theory; control (93-XX)
55 Classical thermodynamics, heat transfer (80-XX)
42 Calculus of variations and optimal control; optimization (49-XX)
41 Integral equations (45-XX)
32 Computer science (68-XX)
29 Optics, electromagnetic theory (78-XX)
27 Operations research, mathematical programming (90-XX)
21 Statistical mechanics, structure of matter (82-XX)
20 Geophysics (86-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Operator theory (47-XX)
16 Information and communication theory, circuits (94-XX)
15 Approximations and expansions (41-XX)
13 Real functions (26-XX)
12 Quantum theory (81-XX)
11 Statistics (62-XX)
9 History and biography (01-XX)
9 Difference and functional equations (39-XX)
7 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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