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 1498 articles )

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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. Abdi, Ali; Conte, Dajana: Implementation of second derivative general linear methods (2020)
  3. Abdulle, Assyr; Garegnani, Giacomo: Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration (2020)
  4. Akrivis, Georgios; Katsoprinakis, Emmanouil: Maximum angles of (\mathrmA(\vartheta))-stability of backward difference formulae (2020)
  5. An, Dong; Lin, Lin: Quantum dynamics with the parallel transport gauge (2020)
  6. Ascher, Uri M.: Discrete processes and their continuous limits (2020)
  7. Attili, Basem: Investigation of the stability and the anti-synchronization of the Brusselator chemical reaction model (2020)
  8. Bazarra, Noelia; Fernández, José R.; Leseduarte, Mari Carme; Magaña, Antonio; Quintanilla, Ramón: On the linear thermoelasticity with two porosities: numerical aspects (2020)
  9. Braś, M.; Jackiewicz, Z.: A new class of efficient general linear methods for ordinary differential equations (2020)
  10. Bulatov, Mikhail; Solovarova, Liubov: Collocation-variation difference schemes with several collocation points for differential-algebraic equations (2020)
  11. Burkardt, John; Trenchea, Catalin: Refactorization of the midpoint rule (2020)
  12. Chen, Hao; Xu, Dongping: Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations (2020)
  13. Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon: Kernel based high order “Explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations (2020)
  14. Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul: Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows (2020)
  15. Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül: Analysis of second order time filtered backward Euler method for MHD equations (2020)
  16. Citro, Vincenzo; D’Ambrosio, Raffaele: Long-term analysis of stochastic (\theta)-methods for damped stochastic oscillators (2020)
  17. Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice: Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems (2020)
  18. Delanoue, Nicolas; Lhommeau, Mehdi; Lagrange, Sébastien: Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis (2020)
  19. Dieci, Luca: Sliding integration with no projection (2020)
  20. Ding, Mingchang; Cai, Xiaofeng; Guo, Wei; Qiu, Jing-Mei: A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion equations (2020)

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