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)

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  1. Korpusov, M.O.; Lukyanenko, D.V.: Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors (2018)
  2. Scholz, Lena: The signature method for DAEs arising in the modeling of electrical circuits (2018)
  3. Akrivis, Georgios; Li, Buyang; Lubich, Christian: Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations (2017)
  4. Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis: Backward difference formulae for Kuramoto-Sivashinsky type equations (2017)
  5. Avvakumov, A.V.; Strizhov, V.F.; Vabishchevich, P.N.; Vasilev, A.O.: Algorithms for numerical simulation of non-stationary neutron diffusion problems (2017)
  6. Benner, Peter; Denißen, Jonas; Kohaupt, Ludwig: Trigonometric spline and spectral bounds for the solution of linear time-periodic systems (2017)
  7. Beyn, Wolf-Jürgen; Isaak, Elena; Kruse, Raphael: Stochastic C-stability and B-consistency of explicit and implicit Milstein-type schemes (2017)
  8. Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni: A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation (2017)
  9. Braś, Michał; Cardone, Angelamaria; Jackiewicz, Zdzisław; Welfert, Bruno: Order reduction phenomenon for general linear methods (2017)
  10. Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław: Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability (2017)
  11. Calderon, Pio Gabrielle B.; Habib, Mustafa; Kappel, Franz; de los Reyes V, Aurelio A.: Control aspects of the human cardiovascular-respiratory system under a nonconstant workload (2017)
  12. Cruz-Barroso, Ruymán; Díaz Mendoza, Carlos; Perdomo-Pío, Francisco: Szeg\Ho-type quadrature formulas (2017)
  13. Dimarco, Giacomo; Pareschi, Lorenzo: Implicit-explicit linear multistep methods for stiff kinetic equations (2017)
  14. Famelis, I.Th.; Jackiewicz, Z.: A new approach to the construction of DIMSIMs of high order and stage order (2017)
  15. Gauckler, Ludwig; Yserentant, Harry: Structure-preserving discretization of the chemical master equation (2017)
  16. González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S.: W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs (2017)
  17. Grimm, Volker; Göckler, Tanja: Automatic smoothness detection of the resolvent Krylov subspace method for the approximation of $C_0$-semigroups (2017)
  18. Guglielmi, Nicola; Hairer, Ernst: Solutions leaving a codimension-$2$ sliding (2017)
  19. Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker: On the nearest singular matrix pencil (2017)
  20. Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.: Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations (2017)

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