KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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error.initial.AffineParametric Class Reference

AffineParametric: More...

Detailed Description

AffineParametric:

Computes \(\tilde{x_i} = (I_d - VW^t)x_i\) beforehand and \(\no{\sum\limits_{i=0}^{Q_0}\tilde{x_i}}\) at online stage. Due to that it is not really completely offline-online separated, but as the coefficient functions may be negative this is the better estimation.

Author
Daniel Wirtz
Date
2011-07-04
New in 0.5:
(Daniel Wirtz, 2011-07-04) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Definition at line 19 of file AffineParametric.m.

Public Member Functions

function  prepareForReducedModel (models.ReducedModel rm)
 Operates on affine-parametric matrices, see general.AffParamMatrix. More...
 
function e0 = getE0 (colvec< double > mu)
 Returns the initial value error for given parameter \(\mu\). More...
 

Additional Inherited Members

- Public Attributes inherited from handle
 addlistener
 Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More...
 
 notify
 Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More...
 
 delete
 Handle object destructor method that is called when the object's lifecycle ends. More...
 
 disp
 Handle object disp method which is called by the display method. See the MATLAB disp function. More...
 
 display
 Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More...
 
 findobj
 Finds objects matching the specified conditions from the input array of handle objects. More...
 
 findprop
 Returns a meta.property objects associated with the specified property name. More...
 
 fields
 Returns a cell array of string containing the names of public properties. More...
 
 fieldnames
 Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More...
 
 isvalid
 Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More...
 
 eq
 Relational functions example. See details for more information. More...
 
 transpose
 Transposes the elements of the handle object array. More...
 
 permute
 Rearranges the dimensions of the handle object array. See the MATLAB permute function. More...
 
 reshape
 hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More...
 
 sort
 ort the handle objects in any array in ascending or descending order. More...
 

Member Function Documentation

function e0 = error.initial.AffineParametric.getE0 ( colvec< double mu)
virtual

Returns the initial value error for given parameter \(\mu\).

Template method.

Parameters
muThe currently used parameter \(\vmu\). Set to \([]\) if not used.

Implements error.initial.Base.

Definition at line 80 of file AffineParametric.m.

References Norm.LG().

Here is the call graph for this function:

function error.initial.AffineParametric.prepareForReducedModel ( models.ReducedModel  rm)
virtual

Operates on affine-parametric matrices, see general.AffParamMatrix.

Parameters
rmA KerMor reduced model
Required fields of rm:

Implements error.initial.Base.

Definition at line 51 of file AffineParametric.m.

References models.ReducedModel.FullModel, models.BaseModel.System, t, models.ReducedModel.V, models.ReducedModel.W, and models.BaseFirstOrderSystem.x0.


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