
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]
 userdefined 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]
 userdefined 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]
 userdefined 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 RungeKutta schemes...

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

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

CVODES
 Referenced in 35 articles
[sw04946]
 available for CVODES. Both integration methods (AdamsMoulton and BDF) and the corresponding nonlinear iteration...

DAESOLII
 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 chargeoriented 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 highlevel language and interactive...