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. Kennedy, Christopher A.; Carpenter, Mark H.: Higher-order additive Runge-Kutta schemes for ordinary differential equations (2019)
  2. Makarov, Volodymyr L.; Dragunov, Denys V.: An efficient approach for solving stiff nonlinear boundary value problems (2019)
  3. Narayanamurthi, Mahesh; Tranquilli, Paul; Sandu, Adrian; Tokman, Mayya: EPIRK-(W) and EPIRK-(K) time discretization methods (2019)
  4. Wackerfuß, Jens; Niederhöfer, Florian: Using finite element codes as a numerical platform to run molecular dynamics simulations (2019)
  5. Abdi, Ali; Behzad, Batoul: Efficient Nordsieck second derivative general linear methods: construction and implementation (2018)
  6. Abdi, Ali; Berrut, Jean-Paul; Hosseini, Seyyed Ahmad: The linear barycentric rational method for a class of delay Volterra integro-differential equations (2018)
  7. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  8. Abdullah, F. A.; Liu, F.; Burrage, P.; Burrage, K.; Li, T.: Novel analytical and numerical techniques for fractional temporal SEIR measles model (2018)
  9. Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles: Optimal explicit stabilized integrator of weak order 1 for stiff and ergodic stochastic differential equations (2018)
  10. Amat, Sergio; Legaz, M. José: On differential singular perturbation problems: a simple variational approach (2018)
  11. 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)
  12. Baier, Robert; Farkhi, Elza: Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions (2018)
  13. Ballestra, Luca Vincenzo: Fast and accurate calculation of American option prices (2018)
  14. Barghi Oskouie, N.; Hojjati, G.; Abdi, A.: Efficient second derivative methods with extended stability regions for non-stiff IVPs (2018)
  15. Behzad, B.; Ghazanfari, B.; Abdi, A.: Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs (2018)
  16. Bocher, Philippe; Montijano, Juan I.; Rández, Luis; Van Daele, Marnix: Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum (2018)
  17. Boscarino, Sebastiano; Qiu, Jing-Mei; Russo, Giovanni: Implicit-explicit integral deferred correction methods for stiff problems (2018)
  18. Boscarino, S.; Russo, G.; Scandurra, L.: All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics (2018)
  19. Boscarino, S.; Russo, G.; Semplice, M.: High order finite volume schemes for balance laws with stiff relaxation (2018)
  20. Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P.: Error propagation for implicit-explicit general linear methods (2018)

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