ROWMAP swMATH ID: 9627 Software Authors: Weiner, R.; Schmitt, B.A.; Podhaisky, H. Description: ROWMAP—a ROW-code with Krylov techniques for large stiff ODEs. We present a Krylov-W-code ROWMAP for the integration of stiff initial value problems. It is based on the ROW-methods of the code ROS4 of Hairer and Wanner and uses Krylov techniques for the solution of linear systems. A special multiple Arnoldi process ensures order p = 4 already for fairly low dimensions of the Krylov subspaces independently of the dimension of the differential equations. Numerical tests and comparisons with the multistep code VODPK illustrate the efficiency of ROWMAP for large stiff systems. Furthermore, the application to nonautonomous systems is discussed in more detail. Homepage: http://www.sciencedirect.com/science/article/pii/S0168927497000676 Related Software: RODAS; Matlab; RKC; ROS3P; VODE; LSODA; Expokit; ADIFOR; RADAU; SymPy; MATCONT; NumPy; Chebfun; ALCON; NewtonLib; Python; pde2path; SciPy; Chemotaxis; L2Roe Cited in: 50 Publications all top 5 Cited by 64 Authors 17 Weiner, Rüdiger 13 Schmitt, Bernhard A. 9 Podhaisky, Helmut 8 Painter, Kevin J. 5 Chaplain, Mark A. J. 5 Gerisch, Alf 4 Sherratt, Jonathan A. 3 Buttenschön, Andreas 3 Hillen, Thomas 3 Sandu, Adrian 3 Tranquilli, Paul 2 Beck, Steffen 2 Cavalca, Katia Lucchesi 2 Dahlke, Stephan 2 Edelstein-Keshet, Leah 2 Geris, Liesbet 2 González-Pinto, Severiano 2 Hernandez-Abreu, Domingo 2 Novati, Paolo 2 Pérez Rodríguez, S. 2 Rashkov, Peter 2 Søgaard-Andersen, Lotte 2 Van Oosterwyck, Hans 1 Andasari, Vivi 1 Angermann, Lutz 1 Armstrong, Nicola J. 1 Bijl, Hester 1 Birken, Philipp 1 Blom, David S. 1 Bloomfield, J. M. 1 Bruder, Jürgen 1 Carlier, Aurélie 1 Carmeliet, Geert 1 Cong, Nguyen Huu 1 Daniel, Gregory Bregion 1 Domschke, Pia 1 Erban, Radek 1 Glandon, S. Ross 1 Heineken, Wolfram 1 Herath, Samantha 1 Hwang, Hyung Ju 1 Keilberg, Daniela 1 Kessels, Fleur 1 Klinge, Marcel 1 Lenz, Peter 1 Liu, Yue 1 Lobo, Daniel 1 Lolas, Georgios 1 Maini, Philip Kumar 1 Meister, Andreas 1 Okabe, Eduardo Paiva 1 Othmer, Hans G. 1 Rang, Joachim 1 Sarshar, Arash 1 Sloten, Jos Vander 1 South, Andrew P. 1 Trucu, Dumitru 1 van Gastel, Nick 1 van Zuijlen, Alexander H. 1 Villa, Chiara 1 Warnecke, Gerald G. 1 Wensch, Jörg 1 Xue, Chuan 1 Zhang, Hong all top 5 Cited in 19 Serials 9 Applied Numerical Mathematics 7 Bulletin of Mathematical Biology 6 Journal of Theoretical Biology 4 BIT 4 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Biology 3 SIAM Journal on Applied Mathematics 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Applied Mathematics and Computation 1 Computing 1 Physica D 1 International Journal of Computer Mathematics 1 Advances in Computational Mathematics 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Mechanism and Machine Theory 1 Journal of Applied Mathematics and Computing all top 5 Cited in 11 Fields 29 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 23 Biology and other natural sciences (92-XX) 18 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year