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 955 articles )

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  1. Abdi, A.: Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs (2016)
  2. 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)
  3. Baccouch, Mahboub; Johnson, Bryan: A high-order discontinuous Galerkin method for It^o stochastic ordinary differential equations (2016)
  4. Baranowski, Jerzy; Bauer, Waldemar; Zagórowska, Marta; Piątek, Paweł: On digital realizations of non-integer order filters (2016)
  5. Belov, A.A.; Kalitkin, N.N.; Poshivaylo, I.P.: Geometrically adaptive grids for stiff Cauchy problems (2016)
  6. Beyn, Wolf-Jürgen; Isaak, Elena; Kruse, Raphael: Stochastic C-stability and B-consistency of explicit and implicit Euler-type schemes (2016)
  7. 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)
  8. Boscarino, Sebastiano; Qiu, Jing-Mei: Error estimates of the integral deferred correction method for stiff problems (2016)
  9. Carpinelli, Mariano; Gubitosa, Marco; Mundo, Domenico; Desmet, Wim: Automated independent coordinates’ switching for the solution of stiff DAEs with the linearly implicit Euler method (2016)
  10. Chu, Hongjun; Liu, Xiaocheng; Zhang, Weidong; Cai, Yunze: Observer-based consensus tracking of multi-agent systems with one-sided Lipschitz nonlinearity (2016)
  11. Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice: GPU-acceleration of waveform relaxation methods for large differential systems (2016)
  12. Dikta, Gerhard; Reißel, Martin; Harlaß, Carsten: Semi-parametric survival function estimators deduced from an identifying Volterra type integral equation (2016)
  13. Fabien, Brian C.: Parallel collocation solution of index-1 BVP-DAEs arising from constrained optimal control problems (2016)
  14. Filbet, Francis; Rodrigues, Luis Miguel: Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field (2016)
  15. Gander, Martin J.; Neumüller, Martin: Analysis of a new space-time parallel multigrid algorithm for parabolic problems (2016)
  16. González-Pinto, S.; Hernández-Abreu, D.: Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs (2016)
  17. Groppi, Maria; Russo, Giovanni; Stracquadanio, Giuseppe: Boundary conditions for semi-Lagrangian methods for the BGK model (2016)
  18. Guo, Qian; Qiu, Mingming; Mitsui, Taketomo: Asymptotic mean-square stability of explicit Runge-Kutta Maruyama methods for stochastic delay differential equations (2016)
  19. Güttel, Stefan; Nakatsukasa, Yuji: Scaled and squared subdiagonal Padé approximation for the matrix exponential (2016)
  20. Haghighi, Amir; Hosseini, Seyed Mohammad; Rößler, Andreas: Diagonally drift-implicit Runge-Kutta methods of strong order one for stiff stochastic differential systems (2016)

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