KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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demos.BellFunctions Class Reference

BellFunctions: Demos regarding the Bell function local Lipschitz estimations. More...

Detailed Description

BellFunctions: Demos regarding the Bell function local Lipschitz estimations.

We kindly refer to the article [12] for introduction of bell functions and their theory.

Author
Daniel Wirtz
Date
2013-08-23
New in 0.7:
(Daniel Wirtz, 2013-08-23) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Definition at line 18 of file BellFunctions.m.

Static Public Member Functions

static function PlotManager pm = SecantGradientPlots (kernels.BellFunction bfun)
 Produces the demo images for maximum secant gradient positions. More...
 
static function  NewtonPenalty (double Gamma)
 Demonstrates the error estimator penalized newton function and maximum secant gradients. More...
 
static function  LocalLipschitzDemo (x0, C)
 ERRORESTDEMO Demo for the monotone radial basis functions error estimator. More...
 

Member Function Documentation

function demos.BellFunctions.LocalLipschitzDemo (   x0,
  C 
)
static

ERRORESTDEMO Demo for the monotone radial basis functions error estimator.

Definition at line 262 of file BellFunctions.m.

function demos.BellFunctions.NewtonPenalty ( double  Gamma)
static

Demonstrates the error estimator penalized newton function and maximum secant gradients.

Parameters
GammaThe \(\gamma\) value to use for the Gaussian bell function. Default: 2

Definition at line 129 of file BellFunctions.m.

References k.

function PlotManager pm = demos.BellFunctions.SecantGradientPlots ( kernels.BellFunction  bfun)
static

Produces the demo images for maximum secant gradient positions.

For details on the implemented methodology please see [12]

Returns a PlotManager handle if the plots are to be saved.

Parameters
bfunA bell function
Default:
kernels.GaussKernel(2)
Return values
pmA PlotManager instance
Required fields of bfun:
Generated fields of pm:

Definition at line 41 of file BellFunctions.m.

References kernels.BellFunction.evaluateD1(), kernels.ARBFKernel.evaluateScalar(), k, PlotManager.LeaveOpen, kernels.BellFunction.ModifiedNewton(), kernels.BellFunction.r0, and kernels.BellFunction.rm.

Here is the call graph for this function:

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