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)

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  1. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  2. Boscarino, Sebastiano; Qiu, Jing-Mei; Russo, Giovanni: Implicit-explicit integral deferred correction methods for stiff problems (2018)
  3. Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P.: Error propagation for implicit-explicit general linear methods (2018)
  4. Brugnano, Luigi; Gurioli, Gianmarco; Iavernaro, Felice: Analysis of energy and quadratic invariant preserving (EQUIP) methods (2018)
  5. Brugnano, Luigi; Gurioli, Gianmarco; Iavernaro, Felice; Weinmüller, Ewa B.: Line integral solution of Hamiltonian systems with holonomic constraints (2018)
  6. Bulatov, Mikhail; Solovarova, Liubov: On self-regularization properties of a difference scheme for linear differential-algebraic equations (2018)
  7. Chikitkin, A. V.; Rogov, B. V.: Optimized symmetric bicompact scheme of the sixth order of approximation with low dispersion for hyperbolic equations (2018)
  8. Cots, Olivier; Gergaud, Joseph; Goubinat, Damien: Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft (2018)
  9. Ehigie, Julius Osato; Diao, Dongxu; Zhang, Ruqiang; Fang, Yonglei; Hou, Xilin; You, Xiong: Exponentially fitted symmetric and symplectic DIRK methods for oscillatory Hamiltonian systems (2018)
  10. Garrett, C. Kristopher; Hauck, Cory D.: A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework (2018)
  11. Guzel, Ahmet; Trenchea, Catalin: The Williams step increases the stability and accuracy of the hoRA time filter (2018)
  12. Havasi, Ágnes; Kazemi, Ehsan: On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes (2018)
  13. Helenbrook, B. T.; Hrdina, J.: High-order adaptive arbitrary-Lagrangian-Eulerian (ALE) simulations of solidification (2018)
  14. Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland: Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations (2018)
  15. Hundsdorfer, W.; in’t Hout, K. J.: On multistep stabilizing correction splitting methods with applications to the Heston model (2018)
  16. Karasözen, Bülent; Uzunca, Murat; Sariaydin-F\Dıl\Dıbel\Dıoğlu, Ayşe; Yücel, Hamdullah: Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation (2018)
  17. Korpusov, Maxim O.; Lukyanenko, Dmitry V.; Panin, Alexander A.; Yushkov, Egor V.: Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities (2018)
  18. Korpusov, M. O.; Lukyanenko, D. V.: Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors (2018)
  19. Kovács, Balázs; Lubich, Christian: Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type (2018)
  20. Kulikov, Gennady Yu.; Kulikova, Maria V.: Practical implementation of extended Kalman filtering in chemical systems with sparse measurements (2018)

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