ODEPACK, a systematized collection of ODE solvers. ODEPACK is a collection of Fortran solvers for the initial value problem for ordinary differential equation systems. It consists of nine solvers, namely a basic solver called LSODE and eight variants of it -- LSODES, LSODA, LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS. The collection is suitable for both stiff and nonstiff systems. It includes solvers for systems given in explicit form, dy/dt = f(t,y), and also solvers for systems given in linearly implicit form, A(t,y) dy/dt = g(t,y). Two of the solvers use general sparse matrix solvers for the linear systems that arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these linear systems. The most recent addition is LSODIS, which solves implicit problems with general sparse treatment of all matrices involved.

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  1. Patsatzis, Dimitrios G.: Algorithmic asymptotic analysis: extending the arsenal of cancer immunology modeling (2022)
  2. Odavić, J.; Mali, P.: Random matrix ensembles in hyperchaotic classical dissipative dynamic systems (2021)
  3. Pöpperl, Paul; Doggen, Elmer V. H.; Karcher, Jonas F.; Mirlin, Alexander D.; Tikhonov, Konstantin S.: Dynamics of many-body delocalization in the time-dependent Hartree-Fock approximation (2021)
  4. Allen, Henry R.; Ptashnyk, Mariya: Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth (2020)
  5. Froustey, Julien; Pitrou, Cyril; Volpe, Maria Cristina: Neutrino decoupling including flavour oscillations and primordial nucleosynthesis (2020)
  6. Izzo, Giuseppe; Jackiewicz, Zdzislaw: Strong stability preserving implicit-explicit transformed general linear methods (2020)
  7. Kondo, Shintaro; Numata, Ryusuke: Existence theorem and global asymptotical stability for low-dimensional dynamical models of plasma turbulence (2020)
  8. Moradi, A.; Sharifi, M.; Abdi, A.: Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part (2020)
  9. Muhammad, Nasim; Eberl, Hermann J.: Two routes of transmission for \textitNosemainfections in a honeybee population model with polyethism and time-periodic parameters can lead to drastically different qualitative model behavior (2020)
  10. Ouala, S.; Nguyen, D.; Drumetz, L.; Chapron, B.; Pascual, A.; Collard, F.; Gaultier, L.; Fablet, R.: Learning latent dynamics for partially observed chaotic systems (2020)
  11. Suenaga, Kohei; Ishizawa, Takuya: Generalized property-directed reachability for hybrid systems (2020)
  12. Yalnız, Gökhan; Budanur, Nazmi Burak: Inferring symbolic dynamics of chaotic flows from persistence (2020)
  13. Duintjer Tebbens, Jurjen; Matonoha, Ctirad; Matthios, Andreas; Papáček, Štěpán: On parameter estimation in an in vitro compartmental model for drug-induced enzyme production in pharmacotherapy. (2019)
  14. Izzo, G.; Jackiewicz, Z.: Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part (2019)
  15. Peets, Tanel; Tamm, Kert: Mathematics of nerve signals (2019)
  16. Salupere, Andrus; Lints, Martin; Ilison, Lauri: Emergence of solitonic structures in hierarchical Korteweg-de Vries systems (2019)
  17. Ansmann, Gerrit: Efficiently and easily integrating differential equations with JiTCODE, JiTCDDE, and JiTCSDE (2018)
  18. Golubyatnikov, V. P.; Kazantsev, M. V.; Kirillova, N. E.; Bukharina, T. A.; Furman, D. P.: Mathematical and numerical models of two asymmetric gene networks (2018)
  19. Kacewicz, Bolesław: Adaptive mesh point selection for the efficient solution of scalar IVPs (2018)
  20. Leite, M. C. A.; Chen-Charpentier, B.; Agusto, F. B.: A mathematical model of tree harvesting in age-structured forests subject to beetle infestations (2018)

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