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.

References in zbMATH (referenced in 152 articles )

Showing results 1 to 20 of 152.
Sorted by year (citations)

1 2 3 ... 6 7 8 next

  1. Ansmann, Gerrit: Efficiently and easily integrating differential equations with JiTCODE, JiTCDDE, and JiTCSDE (2018)
  2. 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)
  3. Kacewicz, Bolesław: Adaptive mesh point selection for the efficient solution of scalar IVPs (2018)
  4. 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)
  5. Reinharz, Vladimir; Dahari, Harel; Barash, Danny: Numerical schemes for solving and optimizing multiscale models with age of hepatitis C virus dynamics (2018)
  6. Budanur, Nazmi Burak; Cvitanović, Predrag: Unstable manifolds of relative periodic orbits in the symmetry-reduced state space of the Kuramoto-Sivashinsky system (2017)
  7. Ceccato, Alessandro; Nicolini, Paolo; Frezzato, Diego: Attracting subspaces in a hyper-spherical representation of autonomous dynamical systems (2017)
  8. Essa, Saad; Argeso, Hakan: Elastic analysis of variable profile and polar orthotropic FGM rotating disks for a variation function with three parameters (2017)
  9. Szatmary, Alex C.; Nossal, R.: Determining whether observed eukaryotic cell migration indicates chemotactic responsiveness or random chemokinetic motion (2017)
  10. Tucker, R. W.; Walton, T. J.: On gravitational chirality as the genesis of astrophysical jets (2017)
  11. Yau, Chun Yip; Hui, Tsz Shing: LARS-type algorithm for group Lasso (2017)
  12. Gong, Xiaoxue; Xu, Ying; Mahadeo, Vinay; Kaman, Tulin; Larsson, Johan; Glimm, James: Mesh convergence for turbulent combustion (2016)
  13. Ong, Benjamin W.; Haynes, Ronald D.; Ladd, Kyle: Algorithm 965: RIDC methods: a family of parallel time integrators (2016)
  14. Andersson, C., Führer, C., Åkesson, J.: Assimulo: A unified framework for ODE solvers (2015) not zbMATH
  15. Elsheikh, Atiyah: An equation-based algorithmic differentiation technique for differential algebraic equations (2015)
  16. Roa, Javier; Peláez, Jesús: Orbit propagation in Minkowskian geometry (2015)
  17. Chacón, L.; del-Castillo-Negrete, D.; Hauck, C. D.: An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation (2014)
  18. Kotov, Dmitry V.; Yee, H. C.; Panesi, Marco; Prabhu, Dinesh K.; Wray, Alan A.: Computational challenges for simulations related to the NASA electric arc shock tube (EAST) experiments (2014)
  19. Novikov, Eugeny A.; Novikov, Anton E.: Variable structure algorithm using explicit and (L)-stable methods (2014)
  20. Schiller, Ulf D.: A unified operator splitting approach for multi-scale fluid-particle coupling in the lattice Boltzmann method (2014)

1 2 3 ... 6 7 8 next