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 1021 articles )

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  1. Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.: Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations (2017)
  2. Kulikov, G.Yu.; Kulikova, M.V.: Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements (2017)
  3. Luan, Vu Thai: Fourth-order two-stage explicit exponential integrators for time-dependent PDEs (2017)
  4. Tranquilli, Paul; Glandon, S.Ross; Sarshar, Arash; Sandu, Adrian: Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations (2017)
  5. Turacı, Mukaddes Ökten; Öziş, Turgut: Derivation of three-derivative Runge-Kutta methods (2017)
  6. Wang, Wansheng: Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations (2017)
  7. Zhao, Jingjun; Fan, Yan; Xu, Yang: Stability of symmetric Runge-Kutta methods for neutral delay integro-differential equations (2017)
  8. Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes: Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods (2017)
  9. Abdi, A.: Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs (2016)
  10. Amat, S.; Grau-Sanchez, M.; Hernández-Verón, M.A.; Rubio, M.J.: On a Moser-Steffensen type method for nonlinear systems of equations (2016)
  11. 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)
  12. Baccouch, Mahboub; Johnson, Bryan: A high-order discontinuous Galerkin method for It^o stochastic ordinary differential equations (2016)
  13. Baranowski, Jerzy; Bauer, Waldemar; Zagórowska, Marta; Piątek, Paweł: On digital realizations of non-integer order filters (2016)
  14. Belov, A.A.; Kalitkin, N.N.; Poshivaylo, I.P.: Geometrically adaptive grids for stiff Cauchy problems (2016)
  15. Beyn, Wolf-Jürgen; Isaak, Elena; Kruse, Raphael: Stochastic C-stability and B-consistency of explicit and implicit Euler-type schemes (2016)
  16. Blumentals, Alejandro; Brogliato, Bernard; Bertails-Descoubes, Florence: The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb’s friction: a tutorial (2016)
  17. Boscarino, Sebastiano; Bürger, Raimund; Mulet, Pep; Russo, Giovanni; Villada, Luis Miguel: On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation (2016)
  18. Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni: High order semi-implicit schemes for time dependent partial differential equations (2016)
  19. Boscarino, Sebastiano; Qiu, Jing-Mei: Error estimates of the integral deferred correction method for stiff problems (2016)
  20. Bulatov, Mikhail Valeryanovich; Linh, Vu Hoang; Solovarova, Liubov Stepanovna: On BDF-based multistep schemes for some classes of linear differential-algebraic equations of index at most 2 (2016)

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