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 1605 articles )

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  1. Almuslimani, Ibrahim; Vilmart, Gilles: Explicit stabilized integrators for stiff optimal control problems (2021)
  2. Al Sayed Ali, Mouhamad; Sadkane, Miloud: Acceleration of implicit schemes for large linear systems of differential-algebraic equations (2021)
  3. Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre: Local error estimation and step size control in adaptive linear multistep methods (2021)
  4. Ávila, Andrés I.; González, Galo Javier; Kopecz, Stefan; Meister, Andreas: Extension of modified Patankar-Runge-Kutta schemes to nonautonomous production-destruction systems based on Oliver’s approach (2021)
  5. Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M.: Higher-order generalized-( \alpha) methods for hyperbolic problems (2021)
  6. Chikurov, N. G.: Numerical solution of stiff systems of ordinary differential equations by converting them to the form of a Shannon (2021)
  7. Clairon, Quentin: A regularization method for the parameter estimation problem in ordinary differential equations via discrete optimal control theory (2021)
  8. D’Ambrosio, Raffaele; Di Giovacchino, Stefano: Mean-square contractivity of stochastic (\vartheta)-methods (2021)
  9. D’Ambrosio, Raffaele; Di Giovacchino, Stefano: Nonlinear stability issues for stochastic Runge-Kutta methods (2021)
  10. D’Ambrosio, Raffaele; Paternoster, Beatrice: Multivalue collocation methods free from order reduction (2021)
  11. Dieci, L.; Elia, C.; Lopez, Luciano: On Filippov solutions of discontinuous DAEs of index 1 (2021)
  12. Dittmann, Alexander J.: High-order multiderivative IMEX schemes (2021)
  13. Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C.: Explicit stabilised gradient descent for faster strongly convex optimisation (2021)
  14. Egger, H.; Schmidt, K.; Shashkov, V.: Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems (2021)
  15. Faleichik, Boris V.: Minimal residual multistep methods for large stiff non-autonomous linear problems (2021)
  16. González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S.: AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model (2021)
  17. Grubišić, Luka; Ljulj, Matko; Mehrmann, Volker; Tambača, Josip: Modeling and discretization methods for the numerical simulation of elastic frame structures (2021)
  18. Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian: Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1 (2021)
  19. Han Veiga, Maria; Öffner, Philipp; Torlo, Davide: DeC and ADER: similarities, differences and a unified framework (2021)
  20. Izzo, Giuseppe; Jackiewicz, Zdzislaw: Construction of SDIRK methods with dispersive stability functions (2021)

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