DIMSIM swMATH ID: 3109 Software Authors: Butcher, J.C.; Chartier, P.; Jackiewicz, Z. Description: Experiments with a variable-order type 1 DIMSIM code. A new code for nonstiff ordinary differential equations is discussed. It is based on the Nordsieck representation of type 1 diagonally implicit multistage integration methods (DIMSIMs), implemented in a variable-step size variable-order mode. The code outperforms the Matlab {it ode45} code for moderate and stringent tolerances. Homepage: http://link.springer.com/article/10.1023/A:1019135630307 Keywords: DIMSIM methods; Nordsieck method; local error estimation; step size and order changing strategy; numerical experiments; diagonally implicit multi-stage integration methods Related Software: MATLAB ODE suite; Matlab; RODAS; ode23s; ode113; Ode15s; ode45; ode23; bvp4c; HOMPACK; MEBDF; Test Set IVP; mftoolbox; PITCON; ALCON; NL2SOL; DIFSUB; VODE; RKC; Maple Cited in: 25 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083Butcher, J. C.; Chartier, P.; Jackiewicz, Z. 1999 all top 5 Cited by 24 Authors 14 Jackiewicz, Zdzislaw 7 Abdi, Ali 6 Hojjati, Gholamreza 4 Butcher, John C. 2 Izzo, Giuseppe 1 Almasoodi, A. Y. J. 1 Braś, Michał 1 Califano, Giovanna 1 Cardone, Angelamaria 1 Chartier, Philippe 1 Conte, Dajana 1 Famelis, Ioannis Th. 1 Hoppensteadt, Frank C. 1 Kulikov, Gennady Yur’evich 1 Majidi, Tahereh 1 Messina, Eleonora 1 Moradi, Afsaneh 1 Ramazani, P. 1 Sharifi, Mohammad 1 Shindin, Sergey Konstantinovich 1 Vecchio, Antonia 1 Verner, James H. 1 Welfert, Bruno D. 1 Zubik-Kowal, Barbara all top 5 Cited in 14 Serials 7 Applied Numerical Mathematics 3 Journal of Computational and Applied Mathematics 3 Numerical Algorithms 1 BIT 1 Calcolo 1 Numerische Mathematik 1 Bulletin of the Iranian Mathematical Society 1 Journal of Complexity 1 Journal of Scientific Computing 1 Computational and Applied Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Journal of Mathematical Modeling Cited in 4 Fields 25 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) Citations by Year