A-EBDF swMATH ID: 9190 Software Authors: G. Hojjati; M.Y. Rahimi Ardabili; S.M. Hosseini Description: A-EBDF: an adaptive method for numerical solution of stiff systems of ODEs. In this paper a one parameter predictor–corrector method, which we call it A-EBDF, is introduced and analyzed. With a modification of A-BDF and EBDF methods we propose a multistep method whose region of absolute stability is larger than those of A-BDF and EBDF methods. Homepage: http://www.sciencedirect.com/science/article/pii/S037847540400076X Related Software: MEBDF; RODAS; STDTST; NSDTST; DASSL; ode113; MATLAB ODE suite; ode23s; Ode15s; ode45; ode23; Matlab; DASPK 3.0; NEW9p; numerov; CHEMSODE; Maple; DESI; DESIRE; PRRMD Cited in: 20 Publications all top 5 Cited by 32 Authors 6 Hojjati, Gholamreza 5 Abdi, Ali 3 Nguyen-Ba, Truong 2 Ebadi, Moosa 2 Giordano, Thierry 1 Amin, Fahs 1 Ardabili, M. Y. Rahimi 1 Asadi, Mohammadali 1 Bayram, Mustafa 1 Biazar, Jafar 1 Esmaeelzadeh, Zahra 1 Ezzeddine, Ali Karam 1 Gokhale, Mukund Y. 1 Hosseini, Seyed Mohammad 1 Hosseini, Seyyed Ahmad 1 Ibrahim, Iman H. 1 Kazemi Nasab, A. 1 Khalsaraei, Mohammad Mehdizadeh 1 Lepik, Ülo 1 Molayi, Maryam 1 Movahedinejad, Akram 1 Nasab, Masoumeh Hosseini 1 Ozdemir, Neslihan 1 Pashazadeh Atabakan, Z. 1 Podhaisky, Helmut 1 Salehi, Farideh 1 Secer, Aydin 1 Vaillancourt, Rémi 1 Wanko, Adrien 1 Willms, Allan R. 1 Yousry, Fatma M. 1 Zakeri, Ali all top 5 Cited in 14 Serials 3 Numerical Algorithms 2 Calcolo 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Mathematical Modelling and Analysis 1 Computers & Mathematics with Applications 1 Applied Mathematical Modelling 1 Journal of Mathematical Chemistry 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 International Journal of Nonlinear Science 1 Journal of Modern Methods in Numerical Mathematics 1 Mathematics all top 5 Cited in 7 Fields 19 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year