butchertable.hh

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#ifndef DUNE_FEM_SOLVER_RUNGEKUTTA_BUTCHERTABLE_HH
#define DUNE_FEM_SOLVER_RUNGEKUTTA_BUTCHERTABLE_HH
 
#include <algorithm>
 
#include <dune/common/dynmatrix.hh>
#include <dune/common/dynvector.hh>
 
namespace DuneODE
{
 
  // SimpleButcherTable
  // ------------------
 
  template< class Field >
  class SimpleButcherTable
  {
    typedef SimpleButcherTable< Field > This;
 
  public:
    typedef Field FieldType;
 
    SimpleButcherTable ( int stages, int order, const FieldType *a, const FieldType *b, const FieldType *c )
    : stages_( stages ), order_( order ),
      a_( a ), b_( b ), c_( c )
    {}
 
    Dune::DynamicMatrix< FieldType > A () const { return makeMatrix( stages_, stages_, a_ ); }
    Dune::DynamicVector< FieldType > b () const { return makeVector( stages_, b_ ); }
    Dune::DynamicVector< FieldType > c () const { return makeVector( stages_, c_ ); }
 
    int order () const { return order_; }
    int stages () const { return stages_; }
 
  protected:
    static Dune::DynamicMatrix< FieldType > makeMatrix ( int m, int n, const FieldType *data )
    {
      Dune::DynamicMatrix< FieldType > A( m, n );
      for( int i = 0; i < m; ++i )
        std::copy( data + i*n, data + (i+1)*n, A[ i ].begin() );
      return A;
    }
 
    static Dune::DynamicVector< FieldType > makeVector ( int n, const FieldType *data )
    {
      Dune::DynamicVector< FieldType > v( n );
      std::copy( data, data + n, v.begin() );
      return v;
    }
 
    int stages_, order_;
    const FieldType *a_, *b_, *c_;
  };
 
 
 
  // explicit butcher tables
  // -----------------------
  SimpleButcherTable< double > explicitEulerButcherTable ();
  SimpleButcherTable< double > tvd2ButcherTable ();
  SimpleButcherTable< double > tvd3ButcherTable ();
  SimpleButcherTable< double > rk4ButcherTable ();
  SimpleButcherTable< double > expl6ButcherTable ();
 
  // implicit butcher tables
  // -----------------------
 
  SimpleButcherTable< double > implicit34ButcherTable ();
  SimpleButcherTable< double > implicit3ButcherTable ();
  SimpleButcherTable< double > implicitEulerButcherTable ();
  SimpleButcherTable< double > gauss2ButcherTable ();
 
 
 
  // semiimplicit butcher tables
  // ---------------------------
 
  SimpleButcherTable< double > semiImplicitEulerButcherTable ( bool expl );
  SimpleButcherTable< double > semiImplicit23ButcherTable ( bool expl );
  SimpleButcherTable< double > semiImplicit33ButcherTable ( bool expl );
  SimpleButcherTable< double > semiImplicitSSP222ButcherTable ( bool expl );
  SimpleButcherTable< double > semiImplicitARK34ButcherTable ( bool expl );
  SimpleButcherTable< double > semiImplicitARK46ButcherTable ( bool expl );
  SimpleButcherTable< double > semiImplicitIERK45ButcherTable ( bool expl );
 
  // ROW butcher tables
  // -----------------------
 
  template< class Field >
  class ROWSimpleButcherTable : public SimpleButcherTable<Field>
  {
    typedef ROWSimpleButcherTable< Field > This;
    typedef SimpleButcherTable< Field > Base;
 
  public:
    typedef Field FieldType;
 
    ROWSimpleButcherTable ( int stages, int order, const FieldType *a, const FieldType *b, const FieldType *c, const FieldType *a2 )
    : Base(stages,order,a,b,c)
    , a2_(a2)
    {}
 
    Dune::DynamicMatrix< FieldType > B () const { return Base::makeMatrix( stages_, stages_, a2_ ); }
 
  private:
    using Base::stages_;
    const FieldType *a2_;
  };
  ROWSimpleButcherTable< double > row2ButcherTable ();
  ROWSimpleButcherTable< double > row3ButcherTable ();
} // namespace DuneODE
 
#endif // #ifndef DUNE_FEM_SOLVER_RUNGEKUTTA_BUTCHERTABLE_HH