RODAS

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 1466 articles )

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  1. Akrivis, Georgios; Katsoprinakis, Emmanouil: Maximum angles of (\mathrmA(\vartheta))-stability of backward difference formulae (2020)
  2. An, Dong; Lin, Lin: Quantum dynamics with the parallel transport gauge (2020)
  3. Braś, M.; Jackiewicz, Z.: A new class of efficient general linear methods for ordinary differential equations (2020)
  4. Bulatov, Mikhail; Solovarova, Liubov: Collocation-variation difference schemes with several collocation points for differential-algebraic equations (2020)
  5. Chen, Hao; Xu, Dongping: Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations (2020)
  6. Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon: Kernel based high order “Explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations (2020)
  7. Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül: Analysis of second order time filtered backward Euler method for MHD equations (2020)
  8. Citro, Vincenzo; D’Ambrosio, Raffaele: Long-term analysis of stochastic (\theta)-methods for damped stochastic oscillators (2020)
  9. Dieci, Luca: Sliding integration with no projection (2020)
  10. Di Pietro, Franco; Fernández, Joaquín; Migoni, Gustavo; Kofman, Ernesto: Mixed-mode state-time discretization in ODE numerical integration (2020)
  11. Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan: A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems (2020)
  12. Fang, Jie; Liu, Chenglian; Simos, T. E.; Famelis, I. Th.: Neural network solution of single-delay differential equations (2020)
  13. Galanin, M. P.; Isaev, A. V.; Konev, S. A.: Mathematical model for soot formation under toluol diffusion combustion (2020)
  14. Giri, Subhajit; Sen, Shuvam: A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error (2020)
  15. Glandon, Ross; Tranquilli, Paul; Sandu, Adrian: Biorthogonal Rosenbrock-Krylov time discretization methods (2020)
  16. González-Pinto, S.; Hairer, E.; Hernandez-Abreu, Domingo: Convergence in (\ell_2) and (\ell_\infty) norm of one-stage AMF-W-methods for parabolic problems (2020)
  17. Gros, Sébastien; Zanon, Mario; Quirynen, Rien; Bemporad, Alberto; Diehl, Moritz: From linear to nonlinear MPC: bridging the gap via the real-time iteration (2020)
  18. Hessenthaler, Andreas; Southworth, Ben S.; Nordsletten, David; Röhrle, Oliver; Falgout, Robert D.; Schroder, Jacob B.: Multilevel convergence analysis of multigrid-reduction-in-time (2020)
  19. Jiang, Canghua; Guo, Zhiqiang; Li, Xin; Wang, Hai; Yu, Ming: An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints (2020)
  20. Kulikov, G. Yu.; Kulikova, M. V.: NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements (2020)

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