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graphMan_hyp Class Reference

This class represents a 1-dimensional manifold of saddle type, represented as a graph over an initial manifold. More...

List of all members.

Public Members

• graphMan_hyp (manifold_hyp *wbManPtr, baseMatrix<VEC *> *wGridPtr)

  The explicit constructor for the class graphMan_hyp. This is the only accessible constructor for this class.

• ~graphMan_hyp ()
• void input (const graphMan_hyp &)
• void zero ()
• REAL compare (const graphMan_hyp &)
• void setEtaPolys (const int & = 0)
• VEC interpolate (int, const REAL &)
• MAT interpDeriv (int, const REAL &)
• const MAT interpDeriv (int, const REAL &) const
• VEC Omega (const int k, const int j, const REAL rho)
• const VEC gridPoint (const int &k, const int &j) const
• void write3dGeomFile (char filename[])
• void write3dGeomFile_WS (char filename[])

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Detailed Description

This class represents a 1-dimensional manifold of saddle type, represented as a graph over an initial manifold.

This class locally approximates a 1-dimensional manifold by Lagrange polynomials of arbitrary order defined on a simplex (in this case, an interval).

Examples:

d1SaddleODE.C.

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Member Function Documentation

graphMan_hyp::graphMan_hyp(manifold_hyp *bManPtr,baseMatrix<VEC *> *GridPtr)

The explicit constructor for the class graphMan_hyp. This is the only accessible constructor for this class.

Parameters:

bManBtr - a pointer to a "manifold_hyp", which represents the initial manifold over which this manifold is graphed.

GridPtr - a pointer to a "baseMatrix" of pointers to "VEC"s. The "baseMatrix" is a numElts x nodesPerElt matrix, and the "VEC"s are vectors of "REAL"s of length ambDim. This data is a set of points in the ambient space giving, for each grid point y of *bManPtr, a point in the normal fiber of *bManPtr at y. These points determine the discrete manifold represented by the "graphMan_hyp".

Returns:

a graphMan_hyp object

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

• graphMan_hyp.h
• graphMan_hyp.C

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