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

VKOGA: Contains some demo functions for the VKOGA algorithm. More...

Detailed Description

VKOGA: Contains some demo functions for the VKOGA algorithm.

The VKOGA algorithm in introduced in [13] and adopts principles of greedy algorithms [6] [11]

Author
Daniel Wirtz
Date
2013-01-15
New in 0.7:
(Daniel Wirtz, 2013-01-15) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Definition at line 18 of file VKOGA.m.

Static Public Member Functions

static function struct
res = 
VKOGA_1D_nD (integer n,logical fPGreedy,integer nG)
 Starts a demo of the approx.algorithms.VKOGA algorithm. More...
 
static function  IterationPlots (struct res,integer steps,PlotManager pm)
 Demonstrates the VKOGA iterations during approximation computations. More...
 
static function  NewtonBasis_Schaback ()
 The demo of the schaback paper [7] for the function-dependent Newton basis. More...
 

Member Function Documentation

function demos.VKOGA.IterationPlots ( struct  res,
integer  steps,
PlotManager  pm 
)
static

Demonstrates the VKOGA iterations during approximation computations.

Parameters
resThe output of demos.VKOGA.demo_VKOGA_1D_nD
stepsHow many steps to illustrate Default: 4
pmA PlotManager instance to use for plots. Default: 3x3 Subfigures
Required fields of res:
Required fields of pm:

Definition at line 114 of file VKOGA.m.

References k, l, Norm.L2(), and t.

Here is the call graph for this function:

function demos.VKOGA.NewtonBasis_Schaback ( )
static

The demo of the schaback paper [7] for the function-dependent Newton basis.

Original source code from the link below, adopted to fit into KerMor.

See Also

Definition at line 190 of file VKOGA.m.

References t, and X.

function struct res = demos.VKOGA.VKOGA_1D_nD ( integer  n,
logical  fPGreedy,
integer  nG 
)
static

Starts a demo of the approx.algorithms.VKOGA algorithm.

The functions all live on \([-5,5]\) for simplicity and can be of output dimension \(1-4\).

Parameters
nThe output space dimension. Between 1 and 4. Default: 1
fPGreedyFlag to use f/P-Greedy instead of f-Greedy. Default: false
nGThe number of different \(\gamma\) values to use for the Gaussian. Default: 3
Return values
resA struct with the fields {kexp, atd, alg} for further processing.
Generated fields of res:

Definition at line 41 of file VKOGA.m.

References t.


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