• LSODE

  • Referenced in 135 articles [sw04374]
  • nonstiff case, and Backward Differentiation Formula (BDF) methods (the Gear methods) in the stiff case...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • user-defined PDE following the method of lines approach. We supply two FORTRAN subroutines, CWRESU ... must be applied, for example, a BDF method such as implemented in the DAE solvers...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • user-defined PDE following the method of lines approach. We supply two FORTRAN subroutines, CWRESU ... must be applied, for example, a BDF method such as implemented in the DAE solvers...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • user-defined PDE following the method of lines approach. We supply two FORTRAN subroutines, CWRESU ... must be applied, for example, a BDF method such as implemented in the DAE solvers...
  • GELDA

  • Referenced in 33 articles [sw00331]
  • undetermined components, then the standard methods as implemented in codes like DASSL of Petzold ... schemes for DAEs. In GELDA the BDF methods [1] and Runge-Kutta schemes...
  • LSODA

  • Referenced in 30 articles [sw27217]
  • selects between nonstiff (Adams) and stiff (BDF) methods. It uses the nonstiff method initially...
  • A-EBDF

  • Referenced in 20 articles [sw09190]
  • this paper a one parameter predictor–corrector method, which we call it A-EBDF ... With a modification of A-BDF and EBDF methods we propose a multistep method whose ... larger than those of A-BDF and EBDF methods...
  • CVODES

  • Referenced in 35 articles [sw04946]
  • available for CVODES. Both integration methods (Adams-Moulton and BDF) and the corresponding nonlinear iteration...
  • DAESOL-II

  • Referenced in 14 articles [sw06275]
  • based on variable stepsize variable order BDF methods for the solution of stiff ODEs...
  • GEARBI

  • Referenced in 10 articles [sw09630]
  • stiff and nonstiff systems, using BDF and Adams methods. The unique feature of GEARBI...
  • mrms

  • Referenced in 2 articles [sw33953]
  • general form of an explicit linear multistep method we suggest to adaptively choose its coefficients ... norm of the residual of an implicit BDF formula. Thereby we reduce the number ... used underlying BDF formula. For the simplest analog of the implicit Euler method the properties ... heat equation using the MRMS methods and their classical BDF counterparts. The starting values...
  • d03pef

  • Referenced in 1 article [sw30986]
  • using the Keller box scheme and the method of lines is employed to reduce ... solved using a Backward Differentiation Formula (BDF) method...
  • CHORAL

  • Referenced in 6 articles [sw02415]
  • BDF schemes and/or the trapezoidal rule. CHORAL, a charge-oriented Rosenbrock Wanner method, has been...
  • SubIval

  • Referenced in 7 articles [sw22654]
  • first appearance in [1]) is a numerical method for computations of the fractional derivative ... obtained then applying an implicit BDF (backward differentiation formula) for a first order derivative...
  • Expokit

  • Referenced in 200 articles [sw00258]
  • Expokit provides a set of routines aimed at...
  • HSL

  • Referenced in 284 articles [sw00418]
  • HSL (formerly the Harwell Subroutine Library) is a...
  • LAPACK

  • Referenced in 1713 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...
  • MA48

  • Referenced in 27 articles [sw00535]
  • The design of MA48: A code for the...
  • Maple

  • Referenced in 5403 articles [sw00545]
  • The result of over 30 years of cutting...
  • Matlab

  • Referenced in 13702 articles [sw00558]
  • MATLAB® is a high-level language and interactive...