KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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error.alpha.Base Class Referenceabstract

Base: More...

Detailed Description

Base:

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 Base.m.

Public Member Functions

 Base (models.ReducedModel rm)
 Obtain the correct snapshots Standard case: the approx function is a kernel expansion. it can also be that the system's core function is already a kernel expansion. More...
 
virtual function a = getAlpha (colvec phi,double ut,double t,colvec mu)
 Computes the \(\alpha(x, t,\mu)\) value of the error estimator. More...
 
virtual function  inputOfflineComputations (models.BaseFullModel model,matrix M)
 Performs the offline stage for the error estimators regarding the inputs. More...
 

Protected Attributes

 M1
 

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...
 

Constructor & Destructor Documentation

error.alpha.Base.Base ( models.ReducedModel  rm)

Obtain the correct snapshots Standard case: the approx function is a kernel expansion. it can also be that the system's core function is already a kernel expansion.

Parameters
rmA KerMor reduced model
Required fields of rm:

Definition at line 46 of file Base.m.

References models.BaseFullModel.Approx, models.BaseFirstOrderSystem.f, models.ReducedModel.FullModel, models.BaseModel.G, inputOfflineComputations(), M1, dscomponents.ACoreFun.System, t, models.ReducedModel.V, and models.ReducedModel.W.

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Member Function Documentation

function a = error.alpha.Base.getAlpha ( colvec  phi,
double  ut,
double  t,
colvec  mu 
)
pure virtual

Computes the \(\alpha(x, t,\mu)\) value of the error estimator.

Template method.

Parameters
phiThe kernel vector \(\K(x,x_i)\)
utThe evaluation of the current input \(u(t)\) at time \(t\)
tThe current time \(t\)
muThe current parameter \(\mu\)

Implemented in error.alpha.Constant.

function error.alpha.Base.inputOfflineComputations ( models.BaseFullModel  model,
matrix  M 
)
pure virtual

Performs the offline stage for the error estimators regarding the inputs.

Template method.

Parameters
modelThe full model
MThe projected coefficient matrix \(M_{\alpha} - VW^tM_{\alpha})\)

Referenced by Base().

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Member Data Documentation


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