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. Clairon, Quentin: A regularization method for the parameter estimation problem in ordinary differential equations via discrete optimal control theory (2021)
  2. D’Ambrosio, Raffaele; Di Giovacchino, Stefano: Nonlinear stability issues for stochastic Runge-Kutta methods (2021)
  3. Liu, Xin; Frank, Jason: Symplectic Runge-Kutta discretization of a regularized forward-backward sweep iteration for optimal control problems (2021)
  4. Abdi, Ali; Conte, Dajana: Implementation of second derivative general linear methods (2020)
  5. Abdi, Ali; Hojjati, Gholamreza; Sharifi, Mohammad: Implicit-explicit second derivative diagonally implicit multistage integration methods (2020)
  6. Abdulle, Assyr; Garegnani, Giacomo: Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration (2020)
  7. Akhmedov, Odiljon S.; Azamov, Abdulla A.; Ibragimov, Gafurjan I.: Four-dimensional Brusselator model with periodical solution (2020)
  8. Akrivis, Georgios; Katsoprinakis, Emmanouil: Maximum angles of (\mathrmA(\vartheta))-stability of backward difference formulae (2020)
  9. An, Dong; Lin, Lin: Quantum dynamics with the parallel transport gauge (2020)
  10. Ascher, Uri M.: Discrete processes and their continuous limits (2020)
  11. Attili, Basem: Investigation of the stability and the anti-synchronization of the Brusselator chemical reaction model (2020)
  12. Barucq, Hélène; Duruflé, Marc; N’diaye, Mamadou: High-order locally a-stable implicit schemes for linear ODEs (2020)
  13. Bazarra, Noelia; Fernández, José R.; Leseduarte, Mari Carme; Magaña, Antonio; Quintanilla, Ramón: On the linear thermoelasticity with two porosities: numerical aspects (2020)
  14. Braś, M.; Jackiewicz, Z.: A new class of efficient general linear methods for ordinary differential equations (2020)
  15. Bulatov, Mikhail; Solovarova, Liubov: Collocation-variation difference schemes with several collocation points for differential-algebraic equations (2020)
  16. Burkardt, John; Trenchea, Catalin: Refactorization of the midpoint rule (2020)
  17. Chen, Hao; Xu, Dongping: Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations (2020)
  18. Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon: Kernel based high order “Explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations (2020)
  19. Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul: Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows (2020)
  20. Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül: Analysis of second order time filtered backward Euler method for MHD equations (2020)

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