RADAU swMATH ID: 1118 Software Authors: E. HAIRER; G. WANNER Description: RADAU5 implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form My’=f(x,y) with possibly singular matrix M; with dense output (collocation solution). Concerning the linear algebra routines the user has the choice to link the program either with DC_DECSOL and DECSOL or with DC_LAPACK and LAPACK and LAPACKC Homepage: http://www.unige.ch/~hairer/software.html Related Software: RODAS; DASSL; VODE; MEBDF; Matlab; PETSc; pySDC; RADAR5; RKC; OPQ; LSODE; radau5; MATLAB expm; SUNDIALS; Test Set for IVP Solvers; MATLAB ODE suite; ODEPACK; DIFSUB; Mathematica; Test Set IVP Cited in: 78 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Solving ordinary differential equations. II: Stiff and differential-algebraic problems. Reprint of the 1996 2nd revised ed. Zbl 1192.65097Hairer, Ernst; Wanner, Gerhard 2010 Solving ordinary differential equations. II: Stiff and differential-algebraic problems. 2nd rev. ed. Zbl 0859.65067Hairer, Ernst; Wanner, Gerhard 1996 all top 5 Cited by 150 Authors 4 Christlieb, Andrew J. 4 Crockatt, Michael M. 4 Hairer, Ernst 4 Ramos, Higinio 4 Wanner, Gerhard 4 Weiner, Rüdiger 3 González-Pinto, Severiano 3 Guglielmi, Nicola 3 Hauck, Cory D. 3 Podhaisky, Helmut 3 Schmitt, Bernhard A. 3 Vigo-Aguiar, Jesus 2 Garrett, C. Kristopher 2 González-Vera, Pablo 2 Hernandez-Abreu, Domingo 2 Martín-Vaquero, Jesús 2 Simeon, Bernd 2 Welfert, Bruno D. 2 Xie, Dexuan 2 Zhang, Yongtao 1 Adjerid, Slimane 1 Ahmad, Saghir 1 Alattas, Khalid A. 1 Alber, Mark S. 1 Andreev, Roman 1 Arafa, Anas. A. M. 1 Baccouch, Mahboub 1 Bandegi, Mahdi 1 Barajas-Solano, David A. 1 Barrio, Roberto 1 Bassett, Brody R. 1 Beard, Daniel A. 1 Bellen, Alfredo 1 Benson, David A. 1 Bertram, Richard 1 Bock, Hans Georg 1 Bokhari, M. A. 1 Brugnano, Luigi 1 Brunner, Thomas A. 1 Bultheel, Adhemar François 1 Butcher, John C. 1 Caboussat, Alexandre 1 Clewley, Robert 1 Cruz-Barroso, Ruymán 1 Dash, Ranjan K. 1 Delcarte, Claudine 1 Dziuk, Gerhard 1 Eberhard, Peter 1 Emmrich, Etienne 1 Feistauer, Miloslav 1 Ferretti, Gianni 1 Fleissner, Florian 1 Fröhlich, Jochen 1 Garcia-Rubio, Raquel 1 Garg, Divya 1 Gaugele, Timo 1 Geiser, Jürgen 1 Gerstmayr, Johannes 1 Hager, William W. 1 Hale, Nicholas 1 Hendriksen, Erik 1 Hong, Liu 1 Hu, Pipi 1 Huntington, Geoffrey T. 1 Iavernaro, Felice 1 Irschik, Hans 1 Jiang, Tian 1 Kalyanaraman, Rathinasabapathy 1 Keast, Patrick 1 Kim, Philsu 1 Kim, Sangdong 1 Koch, Othmar 1 Kouya, Tomonori 1 Krzysik, Oliver A. 1 Kučera, Václav 1 Kuznetsov, Yuri Alexandrovich 1 Kwon, JongKyum 1 Labrosse, Gérard 1 Lang, Holger 1 Leonard, Allison 1 Li, Benwen 1 Li, Jielin 1 Linn, Joachim 1 Liu, Li 1 Liu, Shengping 1 Liu, Shuang 1 Liu, Xinfeng 1 Lubich, Christian 1 Maday, Yvon 1 Magherini, Cecilia 1 Mansour, Dhia 1 März, Roswitha 1 Maset, Stefano 1 Mommer, Mario S. 1 Monk, Peter B. 1 Montijano, Juan Ignacio 1 Morrison, Logan A. 1 Mosbach, Sebastian 1 Muir, Paul H. 1 Mula, Olga ...and 50 more Authors all top 5 Cited in 34 Serials 9 Journal of Computational Physics 8 Journal of Computational and Applied Mathematics 7 Applied Numerical Mathematics 5 Multibody System Dynamics 4 SIAM Journal on Scientific Computing 3 ACM Transactions on Mathematical Software 3 Mathematical Modelling of Natural Phenomena 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 BIT 2 Numerische Mathematik 2 Numerical Algorithms 2 Springer Series in Computational Mathematics 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Automatica 1 Kyungpook Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Computational Neuroscience 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Vietnam Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Cosmology and Astroparticle Physics 1 International Journal of Numerical Methods and Applications 1 EURO Journal on Computational Optimization 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Cited in 24 Fields 63 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 8 Mechanics of deformable solids (74-XX) 6 Approximations and expansions (41-XX) 6 Fluid mechanics (76-XX) 5 Mechanics of particles and systems (70-XX) 4 Computer science (68-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year