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.

References in zbMATH (referenced in 259 articles )

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  1. Ong, Benjamin W.; Haynes, Ronald D.; Ladd, Kyle: Algorithm 965: RIDC methods: a family of parallel time integrators (2016)
  2. Andersson, C., Führer, C., Åkesson, J.: Assimulo: A unified framework for ODE solvers (2015) not zbMATH
  3. Andersson, Christian; Führer, Claus; Åkesson, Johan: Assimulo: a unified framework for ODE solvers (2015)
  4. Campbell, Stephen L.: The flexibility of DAE formulations (2015)
  5. Hay, A.; Etienne, S.; Garon, A.; Pelletier, D.: Time-integration for ALE simulations of fluid-structure interaction problems: stepsize and order selection based on the BDF (2015)
  6. Hay, A.; Etienne, S.; Pelletier, D.; Garon, A.: Hp-adaptive time integration based on the BDF for viscous flows (2015)
  7. 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)
  8. Rasheed, Amer; Wahab, Abdul: Numerical analysis of an isotropic phase-field model with magnetic-field effect (2015)
  9. 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)
  10. Hinze, Michael; Matthes, Ulrich: Model order reduction for networks of ODE and PDE systems (2013)
  11. Balmforth, N. J.; Vakil, A.: Cyclic steps and roll waves in shallow water flow over an erodible bed (2012)
  12. Bandurin, N. G.; Gureeva, N. A.: A software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations (2012)
  13. Bu, Sunyoung; Huang, Jingfang; Minion, Michael L.: Semi-implicit Krylov deferred correction methods for differential algebraic equations (2012)
  14. Gander, Martin J.; Haynes, Ronald D.: Domain decomposition approaches for mesh generation via the equidistribution principle (2012)
  15. Hinze, Michael; Kunkel, Martin: Discrete empirical interpolation in POD model order reduction of drift-diffusion equations in electrical networks (2012)
  16. Hinze, M.; Kunkel, M.: Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks (2012)
  17. Ma, Jingtang; Huang, Weizhang; Russell, Robert D.: Analysis of a moving collocation method for one-dimensional partial differential equations (2012)
  18. Métivier, Ludovic; Montarnal, Philippe: Strategies for solving index one DAE with non-negative constraints: Application to liquid-liquid extraction (2012)
  19. 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)
  20. Blajer, Wojciech: Methods for constraint violation suppression in the numerical simulation of constrained multibody systems - A comparative study (2011)

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