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 1035 articles )

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  1. Akrivis, Georgios; Li, Buyang; Lubich, Christian: Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations (2017)
  2. Beyn, Wolf-Jürgen; Isaak, Elena; Kruse, Raphael: Stochastic C-stability and B-consistency of explicit and implicit Milstein-type schemes (2017)
  3. Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław: Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability (2017)
  4. Dimarco, Giacomo; Pareschi, Lorenzo: Implicit-explicit linear multistep methods for stiff kinetic equations (2017)
  5. Grimm, Volker; Göckler, Tanja: Automatic smoothness detection of the resolvent Krylov subspace method for the approximation of $C_0$-semigroups (2017)
  6. Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker: On the nearest singular matrix pencil (2017)
  7. Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.: Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations (2017)
  8. Kulikov, G.Yu.; Kulikova, M.V.: Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements (2017)
  9. Luan, Vu Thai: Fourth-order two-stage explicit exponential integrators for time-dependent PDEs (2017)
  10. Tranquilli, Paul; Glandon, S.Ross; Sarshar, Arash; Sandu, Adrian: Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations (2017)
  11. Turacı, Mukaddes Ökten; Öziş, Turgut: Derivation of three-derivative Runge-Kutta methods (2017)
  12. Wang, Wansheng: Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations (2017)
  13. Yang, Chaoxia: Linearly implicit BDF methods for nonlinear parabolic interface problems (2017)
  14. Zhao, Jingjun; Fan, Yan; Xu, Yang: Stability of symmetric Runge-Kutta methods for neutral delay integro-differential equations (2017)
  15. Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes: Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods (2017)
  16. Abdi, A.: Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs (2016)
  17. Amat, S.; Grau-Sanchez, M.; Hernández-Verón, M.A.; Rubio, M.J.: On a Moser-Steffensen type method for nonlinear systems of equations (2016)
  18. Aristova, E.N.; Rogov, Boris V.; Chikitkin, A.V.: Optimal monotonization of a high-order accurate bicompact scheme for the nonstationary multidimensional transport equation (2016)
  19. Baccouch, Mahboub; Johnson, Bryan: A high-order discontinuous Galerkin method for It^o stochastic ordinary differential equations (2016)
  20. Baranowski, Jerzy; Bauer, Waldemar; Zagórowska, Marta; Piątek, Paweł: On digital realizations of non-integer order filters (2016)

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