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. Boscarino, Sebastiano; Qiu, Jing-Mei; Russo, Giovanni: Implicit-explicit integral deferred correction methods for stiff problems (2018)
  2. Brugnano, Luigi; Gurioli, Gianmarco; Iavernaro, Felice; Weinmüller, Ewa B.: Line integral solution of Hamiltonian systems with holonomic constraints (2018)
  3. Havasi, Ágnes; Kazemi, Ehsan: On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes (2018)
  4. Korpusov, M.O.; Lukyanenko, D.V.: Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors (2018)
  5. Kovács, Balázs; Lubich, Christian: Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type (2018)
  6. Liu, Kai; Wu, Xinyuan; Shi, Wei: Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems (2018)
  7. Lu, Changna; Huang, Weizhang; Qiu, Jianxian: An adaptive moving mesh finite element solution of the regularized long wave equation (2018)
  8. Scholz, Lena: The signature method for DAEs arising in the modeling of electrical circuits (2018)
  9. Akrivis, Georgios; Li, Buyang; Lubich, Christian: Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations (2017)
  10. Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis: Backward difference formulae for Kuramoto-Sivashinsky type equations (2017)
  11. Altmann, R.; Heiland, J.: Simulation of multibody systems with servo constraints through optimal control (2017)
  12. Avvakumov, A.V.; Strizhov, V.F.; Vabishchevich, P.N.; Vasilev, A.O.: Algorithms for numerical simulation of non-stationary neutron diffusion problems (2017)
  13. Banjai, L.; López-Fernández, M.; Schädle, A.: Fast and oblivious algorithms for dissipative and two-dimensional wave equations (2017)
  14. Baum, Ann-Kristin: A flow-on-manifold formulation of differential-algebraic equations (2017)
  15. Benner, Peter; Denißen, Jonas; Kohaupt, Ludwig: Trigonometric spline and spectral bounds for the solution of linear time-periodic systems (2017)
  16. Beyn, Wolf-Jürgen; Isaak, Elena; Kruse, Raphael: Stochastic C-stability and B-consistency of explicit and implicit Milstein-type schemes (2017)
  17. Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni: A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation (2017)
  18. Braś, Michał; Cardone, Angelamaria; Jackiewicz, Zdzisław; Welfert, Bruno: Order reduction phenomenon for general linear methods (2017)
  19. Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław: Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability (2017)
  20. 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)

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