MEBDF swMATH ID: 567 Software Authors: Abdulla, T.J.; Cash, J.R.; Diamantakis, M.T. Description: An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems. An efficient algorithm for the numerical integration of large sparse systems of stiff initial value ordinary differential equations and differential-algebraic equations is described. The algorithm is constructed by embedding a standard sparse linear algebraic equation solver into a suitably modified MEBDF code. An important practical application of this algorithm is in the numerical solution of time dependent partial differential equations, particularly in two or more space dimensions, using the method of lines. A code based on this algorithm is illustrated by application to several problems of practical interest and its performance is compared to that of the standard code LSODES. Homepage: http://www.sciencedirect.com/science/article/pii/S0898122101001377 Related Software: RODAS; DASSL; A-EBDF; VODE; LSODE; RKC; DIFSUB; STDTST; NSDTST; DESI; Matlab; ODEPACK; Mathematica; BiMD; BiM; MATLAB ODE suite; ode23s; ode113; Ode15s; ode45 Cited in: 90 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems. Zbl 0983.65081Abdulla, T. J.; Cash, J. R.; Diamantakis, M. T. 2001 all top 5 Cited by 117 Authors 14 Cash, Jeff R. 11 Martín-Vaquero, Jesús 7 Hojjati, Gholamreza 6 Abdi, Ali 6 Vigo-Aguiar, Jesus 4 Bassi, Francesco 4 Brugnano, Luigi 4 Ebadi, Moosa 4 Magherini, Cecilia 3 Fritzkowski, Paweł 3 Ghidoni, Antonio 3 Gokhale, Mukund Y. 3 Hosseini, Seyed Mohammad 3 Kaminski, Henryk 3 Mazzia, Francesca 3 Nguyen-Ba, Truong 2 Charron, Martin 2 Colombo, Alessandro G. 2 Considine, S. 2 D’Ambrosio, Raffaele 2 De Bartolo, Carmine 2 Giordano, Thierry 2 Iavernaro, Felice 2 Ibrahim, Iman H. 2 Ibrahim, Zarina Bibi Binti 2 Ismail, Fudziah Bt. 2 Izzo, Giuseppe 2 Jackiewicz, Zdzislaw 2 Kim, Philsu 2 Kleefeld, B. 2 Massa, Francesco Carlo 2 Mohammadian, Abdolmajid M. 2 Nazari, Farshid 2 Nigro, Alessandra 2 Nwachukwu, Grace C. 2 Okor, T. 2 Soetaert, Karline 2 Yousry, Fatma M. 2 Zadra, Ayrton 1 Abdulla, T. J. 1 Adeyeye, F. J. 1 Albuquerque, Duarte M. S. 1 Amin, Fahs 1 Ardabili, M. Y. Rahimi 1 Bassenne, Maxime 1 Bond, Ryan B. 1 Boom, Pieter D. 1 Botti, Lorenzo 1 Brill, Michael H. 1 Bu, Sunyoung 1 Burrage, Kevin 1 Casper, Mark J. 1 Chipman, F. H. 1 Costa, Pedro M. P. 1 Criado, Regino 1 Crivellini, Andrea 1 Dahaghin, Mohammad Shafi 1 Diamantakis, M. T. 1 Elfeshawey, A. S. 1 Eliasson, Peter 1 Eskandari, Zohreh 1 Esmaeelzadeh, Zahra 1 Fidkowski, Krzysztof J. 1 Fijnvandraat, J. G. 1 Franchina, Nicoletta 1 Frank, J. E. 1 Fu, Lin 1 Glasby, Ryan S. 1 Günther, Clemens 1 Halilovič, Miroslav 1 Holst, Kevin R. 1 Hosseini, Seyyed Ahmad 1 Houben, Stephan H. M. J. 1 Ismail, Gamal A. Fouad 1 Jung, WonKyu 1 Kim, Junghan 1 Kim, Sangdong 1 Kleefeld, Andreas 1 Kwon, JongKyum 1 Lambrou, N. 1 Lundquist, Tomas 1 Maček, Andraž 1 Majidi, Tahereh 1 Makroglou, Athena 1 Mani, Ali 1 Movahedinejad, Akram 1 Mugnai, Filippo 1 Musa, Harald 1 Nasab, Masoumeh Hosseini 1 Nordström, Jan 1 Oppenheim, Antoni Kazimierz 1 Paternoster, Beatrice 1 Peters, J. M. F. 1 Piao, Xiangfan 1 Podhaisky, Helmut 1 Pratt, David T. 1 Psihoyios, G.-Y. 1 Psihoyios, Y. 1 Ramos, Higinio 1 Rauh, Andreas ...and 17 more Authors all top 5 Cited in 34 Serials 16 Journal of Computational and Applied Mathematics 11 Journal of Computational Physics 9 Computers & Mathematics with Applications 6 Numerical Algorithms 5 Applied Numerical Mathematics 4 Mathematics and Computers in Simulation 3 Computers and Fluids 3 Applied Mathematics and Computation 3 Mathematical and Computer Modelling 2 Computer Physics Communications 2 ACM Transactions on Mathematical Software 2 Calcolo 2 Computational Mechanics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Indian Journal of Pure & Applied Mathematics 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Kyungpook Mathematical Journal 1 Journal of the Nigerian Mathematical Society 1 Journal of Scientific Computing 1 Computational and Applied Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Applied Mathematics 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Acta Mechanica Sinica 1 Journal of Modern Methods in Numerical Mathematics 1 ISRN Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Computational Methods for Differential Equations 1 Use R! all top 5 Cited in 13 Fields 84 Numerical analysis (65-XX) 42 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 2 Difference and functional equations (39-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year