Rosenbrock method of order 4(3), for problems of the form My’=f(x,y) with possibly singular matrix M; with dense output; algebraic order conditions are considered Concerning the linear algebra routines the user has the choice to link the code with DC_DECSOL and DECSOL or with DC_LAPACK and LAPACK and LAPACKC (actually, the file LAPACKC and the routines of DC_LAPACK which need COMPLEX*16 are not used)

References in zbMATH (referenced in 1237 articles )

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  1. Abdi, Ali; Berrut, Jean-Paul; Hosseini, Seyyed Ahmad: The linear barycentric rational method for a class of delay Volterra integro-differential equations (2018)
  2. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  3. Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles: Optimal explicit stabilized integrator of weak order 1 for stiff and ergodic stochastic differential equations (2018)
  4. Arab Ameri, Maryam; Soheili, Ali R.; Barfeie, Mahdiar: RBFs meshless method of lines for time-dependent PDEs with decomposition of interior and boundary data centers (2018)
  5. Barghi Oskouie, N.; Hojjati, G.; Abdi, A.: Efficient second derivative methods with extended stability regions for non-stiff ivps (2018)
  6. Boscarino, Sebastiano; Qiu, Jing-Mei; Russo, Giovanni: Implicit-explicit integral deferred correction methods for stiff problems (2018)
  7. Boscarino, S.; Russo, G.; Semplice, M.: High order finite volume schemes for balance laws with stiff relaxation (2018)
  8. Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P.: Error propagation for implicit-explicit general linear methods (2018)
  9. Brugnano, Luigi; Gurioli, Gianmarco; Iavernaro, Felice: Analysis of energy and quadratic invariant preserving (EQUIP) methods (2018)
  10. Brugnano, Luigi; Gurioli, Gianmarco; Iavernaro, Felice; Weinmüller, Ewa B.: Line integral solution of Hamiltonian systems with holonomic constraints (2018)
  11. Bulatov, Mikhail; Solovarova, Liubov: On self-regularization properties of a difference scheme for linear differential-algebraic equations (2018)
  12. Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice: Two-step collocation methods for fractional differential equations (2018)
  13. Chikitkin, A. V.; Rogov, B. V.: Optimized symmetric bicompact scheme of the sixth order of approximation with low dispersion for hyperbolic equations (2018)
  14. Cots, Olivier; Gergaud, Joseph; Goubinat, Damien: Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft (2018)
  15. Edwin Tye, Tom Finnie, Ian Hall, Steve Leach: PyGOM - A Python Package for Simplifying Modelling with Systems of Ordinary Differential Equations (2018) arXiv
  16. Ehigie, Julius Osato; Diao, Dongxu; Zhang, Ruqiang; Fang, Yonglei; Hou, Xilin; You, Xiong: Exponentially fitted symmetric and symplectic DIRK methods for oscillatory Hamiltonian systems (2018)
  17. Einkemmer, Lukas: An adaptive step size controller for iterative implicit methods (2018)
  18. Garrett, C. Kristopher; Hauck, Cory D.: A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework (2018)
  19. González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.; Pérez-Rodríguez, S.: PDE-W-methods for parabolic problems with mixed derivatives (2018)
  20. Guzel, Ahmet; Trenchea, Catalin: The Williams step increases the stability and accuracy of the hoRA time filter (2018)

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