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d1baseMan Class Reference

This class represents an initial attracting 1-dimensional manifold, over which nearby manifolds will be graphed. More...

List of all members.

Public Members

• d1baseMan (char wtype[9], int wm, int wnumElts, d1Grid *wgridPtr)

  The explicit constructor for the class d1baseMan.

• d1baseMan (const d1baseMan &)
• d1baseMan (const d1graphMan &, REAL)
• ~d1baseMan ()
• void input (const d1smallGrid &, REAL)
• VEC interpolate (int, REAL)
• MAT interpDeriv (int, REAL)
• int getNodesPerElt ()
• const int getNodesPerElt () const
• int getNumElts ()
• const int getNumElts () const
• d1graphP* polynomialPtr (int)
• d1GridPt& gridPt (int, int)
• void setPolynomials (char wtype[9])

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Detailed Description

This class represents an initial attracting 1-dimensional manifold, over which nearby manifolds will be graphed.

A d1baseMan object gives a discrete approximation to a 1-dimensional manifold, together with its tangent bundle and normal bundle. This class approximates a manifold locally with Lagrange polynomials (of arbitrary order), defined over intervals. The polynomials are graphed in the local coordinate systems of the "d1baseMan". More precisely, for each element, the manifold represented by the d1baseMan is approximated by the graph of a polynomial (considered as a function from the tangent space at the basepoint to the normal space at the basepoint).

Examples:

d1StableODE.C.

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Member Function Documentation

d1baseMan::d1baseMan(char wtype[9],int wm,int wnumElts,d1Grid *wgridPtr)

The explicit constructor for the class d1baseMan.

Parameters:

type - a character array with size 9. This argument determines the type of polynomial used to approximate the manifold, for example Lagrange or Hermite. Only Lagrange is currently supported.

m - a positive integer specifying the number of nodes per element. This parameter determines the order of approximation.

numElts - a positive integer specifying the desired number of elements to use to represent the manifold.

gridPtr - a pointer to a "d1Grid". This data is a set of points in the ambient space which determine the discrete manifold represented by the "d1baseMan".

Returns:

a d1baseMan object.

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The documentation for this class was generated from the following files:

• d1baseMan.h
• d1baseMan.C

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