Subroutine DDASSL uses the backward differentiation formulas of orders one through five to solve a system of the above form for Y and YPRIME. Values for Y and YPRIME at the initial time must be given as input. These values must be consistent, (that is, if T,Y,YPRIME are the given initial values, they must satisfy G(T,Y,YPRIME) = 0.). The subroutine solves the system from T to TOUT. It is easy to continue the solution to get results at additional TOUT. This is the interval mode of operation. Intermediate results can also be obtained easily by using the intermediate-output capability.

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  1. Hupkes, H.J.; Van Vleck, E.S.: Travelling waves for complete discretizations of reaction diffusion systems (2016)
  2. Kleefeld, B.; Martín-Vaquero, J.: SERK2v3: Solving mildly stiff nonlinear partial differential equations (2016)
  3. Nguyen-Ba, Truong: On variable step Hermite-Birkhoff solvers combining multistep and 4-stage DIRK methods for stiff ODEs (2016)
  4. Campbell, Stephen L.: The flexibility of DAE formulations (2015)
  5. Hay, A.; Etienne, S.; Pelletier, D.; Garon, A.: Hp-adaptive time integration based on the BDF for viscous flows (2015)
  6. Nguyen-Ba, Truong; Giordano, Thierry; Vaillancourt, Rémi: Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs (2015)
  7. Rasheed, Amer; Wahab, Abdul: Numerical analysis of an isotropic phase-field model with magnetic-field effect (2015)
  8. Savard, B.; Xuan, Y.; Bobbitt, B.; Blanquart, G.: A computationally-efficient, semi-implicit, iterative method for the time-integration of reacting flows with stiff chemistry (2015)
  9. Hinze, Michael; Matthes, Ulrich: Model order reduction for networks of ODE and PDE systems (2013)
  10. Balmforth, N.J.; Vakil, A.: Cyclic steps and roll waves in shallow water flow over an erodible bed (2012)
  11. Bandurin, N.G.; Gureeva, N.A.: A software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations (2012)
  12. Bu, Sunyoung; Huang, Jingfang; Minion, Michael L.: Semi-implicit Krylov deferred correction methods for differential algebraic equations (2012)
  13. Gander, Martin J.; Haynes, Ronald D.: Domain decomposition approaches for mesh generation via the equidistribution principle (2012)
  14. Hinze, Michael; Kunkel, Martin: Discrete empirical interpolation in POD model order reduction of drift-diffusion equations in electrical networks (2012)
  15. Hinze, M.; Kunkel, M.: Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks (2012)
  16. Ma, Jingtang; Huang, Weizhang; Russell, Robert D.: Analysis of a moving collocation method for one-dimensional partial differential equations (2012)
  17. Métivier, Ludovic; Montarnal, Philippe: Strategies for solving index one DAE with non-negative constraints: Application to liquid-liquid extraction (2012)
  18. Rasheed, A.; Belmiloudi, A.: An analysis of a phase-field model for isothermal binary alloy solidification with convection under the influence of magnetic field (2012)
  19. Blajer, Wojciech: Methods for constraint violation suppression in the numerical simulation of constrained multibody systems - A comparative study (2011)
  20. Bonilla, J.; Yebra, L.J.; Dormido, S.: A heuristic method to minimise the chattering problem in dynamic mathematical two-phase flow models (2011)

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