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. Bonilla, J.; Yebra, L. J.; Dormido, S.: A heuristic method to minimise the chattering problem in dynamic mathematical two-phase flow models (2011)
  2. Burgermeister, Bernhard; Arnold, Martin; Eichberger, Alexander: Smooth velocity approximation for constrained systems in real-time simulation (2011)
  3. Felez, Jesus; Romero, Gregorio; Maroto, Joaquín; Martinez, María L.: Simulation of multi-body systems using multi-bond graphs (2011)
  4. Hafner, Simon; Rashidi, Arash; Baldea, Georgiana; Riedel, Uwe: A detailed chemical kinetic model of high-temperature ethylene glycol gasification (2011)
  5. Lang, Holger; Linn, Joachim; Arnold, Martin: Multi-body dynamics simulation of geometrically exact Cosserat rods (2011)
  6. Ma, Jingtang; Jiang, Yingjun: Moving collocation methods for time fractional differential equations and simulation of blowup (2011)
  7. Ramos, Higinio; García-Rubio, R.: Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge-Kutta collocation methods (2011)
  8. Bonilla, J.; Yebra, L. J.; Dormido, S.: Mean densities in dynamic mathematical two-phase flow models (2010)
  9. Bouskela, D.; Chip, V.; El Hefni, B.; Favennec, J. M.; Midou, M.; Ninet, J.: New method to assess tube support plate clogging phenomena in steam generators of nuclear power plants (2010)
  10. Budd, C. J.; Williams, J. F.: How to adaptively resolve evolutionary singularities in differential equations with symmetry (2010)
  11. Martín-Vaquero, J.: A 17th-order radau IIA method for package \textttRADAU. Applications in mechanical systems (2010)
  12. Balmforth, Neil J.; Forterre, Y.; Pouliquen, O.: The viscoplastic Stokes layer (2009)
  13. Braun, David J.; Goldfarb, Michael: Eliminating constraint drift in the numerical simulation of constrained dynamical systems (2009)
  14. Budd, Chris J.; Huang, Weizhang; Russell, Robert D.: Adaptivity with moving grids (2009)
  15. Ma, Jingtang; Jiang, Yingjun: Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source (2009)
  16. Ma, Jingtang; Jiang, Yingjun; Xiang, Kaili: Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method (2009)
  17. Martín-Vaquero, J.; Janssen, B.: Second-order stabilized explicit Runge-Kutta methods for stiff problems (2009)
  18. Rauh, Andreas; Brill, Michael; Günther, Clemens: A novel interval arithmetic approach for solving differential-algebraic equations with \textscValEncIA-IVP (2009)
  19. Weiser, Martin: Pointwise nonlinear scaling for reaction-diffusion equations (2009)
  20. Haynes, Ronald D.; Huang, Weizhang; Russell, Robert D.: A moving mesh method for time-dependent problems based on Schwarz waveform relaxation (2008)

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