KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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dscomponents.IGlobalLipschitz Class Referenceabstract

IGLOBALLIPSCHITZ Interface for all functions that have a global lipschitz constant for the state/spatial part. More...

Detailed Description

IGLOBALLIPSCHITZ Interface for all functions that have a global lipschitz constant for the state/spatial part.

Definition at line 18 of file IGlobalLipschitz.m.

Public Member Functions

virtual function c = getGlobalLipschitz (double t,colvec< double > mu)
 For some error estimators, a global Lipschitz constant estimation is performed. This function has to yield the global lipschitz constant for the spatial/state part of a CoreFunction \(f(x,t,mu)\). 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 c = dscomponents.IGlobalLipschitz.getGlobalLipschitz ( double  t,
colvec< double mu 
)
pure virtual

For some error estimators, a global Lipschitz constant estimation is performed. This function has to yield the global lipschitz constant for the spatial/state part of a CoreFunction \(f(x,t,mu)\).

Todo:
: what about cases where no lipschitz constants are available? somehow need to tell the error estimator etc.
Parameters
tThe current time(s) \(t \in [0, T]\)
muThe currently used parameter \(\vmu\). Set to \([]\) if not used.

Implemented in kernels.KernelExpansion, kernels.ParamTimeKernelExpansion, dscomponents.AffLinCoreFun, and dscomponents.ParamTimeKernelCoreFun.


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