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 1406 articles )

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  1. Gros, Sébastien; Zanon, Mario; Quirynen, Rien; Bemporad, Alberto; Diehl, Moritz: From linear to nonlinear MPC: bridging the gap via the real-time iteration (2020)
  2. 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)
  3. Kutniv, M. V.; Datsko, B. Y.; Kunynets, A. V.; Włoch, A.: A new approach to constructing of explicit one-step methods of high order for singular initial value problems for nonlinear ordinary differential equations (2020)
  4. Martens, Björn; Gerdts, Matthias: Convergence analysis for approximations of optimal control problems subject to higher index differential-algebraic equations and mixed control-state constraints (2020)
  5. Xu, Yang; Zhang, Yanming; Zhao, Jingjun: General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation (2020)
  6. Abdi, A.; Hosseini, S. A.; Podhaisky, H.: Adaptive linear barycentric rational finite differences method for stiff ODEs (2019)
  7. Akrivis, Georgios; Li, Buyang; Li, Dongfang: Energy-decaying extrapolated RK-SAV methods for the Allen-Cahn and Cahn-Hilliard equations (2019)
  8. Alzahrani, S. S.; Khaliq, A. Q. M.: Fourier spectral exponential time differencing methods for multi-dimensional space-fractional reaction-diffusion equations (2019)
  9. Avaji, M.; Jodayree Akbarfam, A.; Haghighi, A.: Stability analysis of high order Runge-Kutta methods for index 1 stochastic differential-algebraic equations with scalar noise (2019)
  10. Belov, A. A.; Kalitkin, N. N.: Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations (2019)
  11. Belov, A. A.; Kalitkin, N. N.; Bulatov, P. E.; Zholkovskii, E. K.: Explicit methods for integrating stiff Cauchy problems (2019)
  12. Blanes, Sergio: On the construction of symmetric second order methods for ODEs (2019)
  13. Bulatov, M. V.; Linh, V. H.; Solovarova, L. S.: Block difference schemes of high order for stiff linear differential-algebraic equations (2019)
  14. Chen, Hao; Wang, Xiaoli; Li, Xiaolin: A note on efficient preconditioner of implicit Runge-Kutta methods with application to fractional diffusion equations (2019)
  15. Chikitkin, A. V.; Rogov, B. V.: Family of central bicompact schemes with spectral resolution property for hyperbolic equations (2019)
  16. Chung, Matthias; Binois, Mickaël; Gramacy, Robert B.; Bardsley, Johnathan M.; Moquin, David J.; Smith, Amanda P.; Smith, Amber M.: Parameter and uncertainty estimation for dynamical systems using surrogate stochastic processes (2019)
  17. Çıbık, Aytekin; Demir, Medine; Kaya, Songul: A family of second order time stepping methods for the Darcy-Brinkman equations (2019)
  18. Corless, Robert M.; Kaya, C. Yalçın; Moir, Robert H. C.: Optimal residuals and the Dahlquist test problem (2019)
  19. Coulombel, Jean-François: Transparent numerical boundary conditions for evolution equations: derivation and stability analysis (2019)
  20. Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D.: Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration (2019)

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