Softwares

Splitting methods with complex coefficients for the complex Ginzburg-Landau equation

Matlab code by Blanes, Casas, Chartier and Murua: SOLVEGL.m

Pseudo-symplectic methods

 

Methods for differential-algebraic systems of index 2

  • dr_andrew: Driver for Andrew's problem
  • dr_cercle: Driver for a test problem with known exact solution
  • dr_pendulum: Driver for the pendulum problem
  • dr_DPcontrol: Driver for the discharge pressure control problem
  • decsol: Linear algebra routines, used by DC_DECSOL
  • dc_decsol: Subroutines for the decomposition and backsubstitution of linear systems
  • lapack: Linear algebra routines, used by DC_LAPACK
  • lapackc: Linear algebra routines for complex arithmetic, used by DC_LAPACK
  • dc_lapack: Subroutines for the decomposition and backsubstitution of linear systems
  • radau5m.f: Main subroutine (this is a modification of RADAU5 developed by E. Hairer and G. Wanner from the University of Geneva)
  • vecteurw: Subroutine defining the new weights for the algebraic components


Order condition and Hopf-algebra functions (coproduct and antipode)  for Butcher trees  (softwares written by G. Vilmart)
 

  • Ordercond.exe : Generates in a latex file called "ordercond" the order conditions up to any integer n
  • HopfTree.exe :  Given a tree t, generates in a latex file called "result" the functions : order, gamma, elementary differential, coproduct, antipode
  • draw.tex : Latex file generating the ouput of the two softwares
  • arbres.tex : macros needed by draw.tex