LSODA, Ordinary Differential Equation Solver for Stiff or Non-Stiff System. LSODA, written jointly with L. R. Petzold, solves systems dy/dt = f with a dense or banded Jacobian when the problem is stiff, but it automatically selects between nonstiff (Adams) and stiff (BDF) methods. It uses the nonstiff method initially, and dynamically monitors data in order to decide which method to use. The LSODA source is commented extensively to facilitate modification. Both a single-precision version and a double-precision version are available

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  1. Hao, Yuxin; Gu, Xiaojun; Zhang, Wei; Chen, Jie: Transient response of high dimensional nonlinear dynamic system for a rotating cantilever twisted plate (2020)
  2. Mai, Vinh Q.; Vo, Tuoi T.; Meere, Martin: Modelling hyaluronan degradation by Streptococcus pneumoniae hyaluronate lyase (2018)
  3. Duintjer Tebbens, Jurjen; Meurant, Gérard: On the convergence of Q-OR and Q-MR Krylov methods for solving nonsymmetric linear systems (2016)
  4. González-Pinto, S.; Hernández-Abreu, D.: Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs (2016)
  5. González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S.; Weiner, R.: A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. (2016)
  6. Gonzalez-Pinto, S.; Hernandez-Abreu, D.; Perez-Rodriguez, S.: AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs (2015)
  7. El Sayed, Ahmad; Mortensen, Mikael; Wen, John Z.: Assessment of the presumed mapping function approach for the stationary laminar flamelet modelling of reacting double scalar mixing layers (2014)
  8. González-Pinto, S.; Pérez-Rodríguez, S.: A variable time-step-size code for advection-diffusion-reaction PDEs (2012)
  9. Ali, Shaukat; Vikhansky, Alexander; Løvås, Terese: Direct quadrature conditional moment closure for modelling of turbulent combustion (2011)
  10. Hao, Jian; Zhu, Luoding: A lattice Boltzmann based implicit immersed boundary method for fluid-structure interaction (2010)
  11. Perez-Rodriguez, S.; Gonzalez-Pinto, S.; Sommeijer, B. P.: An iterated Radau method for time-dependent PDEs (2009)
  12. Brown, Peter N.; Shumaker, Dana E.; Woodward, Carol S.: Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration (2005)
  13. Valorani, Mauro; Goussis, Dimitris A.; Creta, Francesco; Najm, Habib N.: Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method (2005)
  14. Knoll, D. A.; Keyes, D. E.: Jacobian-free Newton-Krylov methods: a survey of approaches and applications. (2004)
  15. Rognlien, T. D.; Xu, X. Q.; Hindmarsh, A. C.: Application of parallel implicit methods to edge-plasma numerical simulations. (2002)
  16. Cǎtinaş, E.: Inexact perturbed Newton methods and applications to a class of Krylov solvers (2001)
  17. Hindmarsh, Alan C.; Rotter, Mark D.: Using an ODE solver for a class of integro-differential systems (2001)
  18. Tsiantos, Vassilios D.; Schrefl, Thomas; Fidler, Josef; Bratsos, Athanasios: Cost-effective way to speed up micromagnetic simulations in granular media (2001)
  19. Shelley, Michael J.; Ueda, Tetsuji: The Stokesian hydrodynamics of flexing, stretching filaments (2000)
  20. Grotowsky, I. M. G.; Ballmann, J.: Efficient time integration of Navier-Stokes equations (1999)

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