KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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WH10System.m
Go to the documentation of this file.
1 namespace models{
2 namespace wh10{
3 
4 
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18 
29  public: /* ( setObservable ) */
30 
44  public: /* ( setObservable ) */
45 
46 
48 
49  this = this@models.BaseFirstOrderSystem(model);
50 
51  this.registerProps(" svNum ");
52 
53  this.NumStateDofs= model.dim;
54  this.updateDimensions;
55 
56  /* % System settings */
57  this.MaxTimestep= [];
58 
59  /* Sample bases */
60  this.svNum= 20;
61  space = linspace(0,50,this.svNum);
62 
63  f = dscomponents.ParamTimeKernelCoreFun(this);
64  fe = f.Expansion;
65  fe.Centers.xi= repmat(space,model.dim,1);
66  fe.Centers.ti= [];
67  fe.Centers.mui= [];
68 
69  /* % BaseCompWiseKernelApprox settings
70  * Choose the kernel with such that each kernel vanishes (<
71  * kerneleps) after kernelsupport support vectors. */
72  kernelsupport = 2;
73  kerneleps = 0.00001;
74 
75  d = sqrt(model.dim)*space(2);
76  /* gamma = -((kernelsupport*d)^2)/log(kerneleps) preprint */
77  gamma = -((kernelsupport*d))/log(kerneleps)
78  fe.Kernel= kernels.GaussKernel(gamma);
79  fe.TimeKernel= kernels.NoKernel;
80  fe.ParamKernel= kernels.NoKernel;
81  this.f= f;
82  }
83 
84 
85 };
86 }
87 }
88 
89 
90 
The base class for any KerMor detailed model.
Definition: BaseFullModel.m:18
function registerProps(varargin)
Call this method at any class that defines DPCM observed properties.
Definition: DPCMObject.m:125
Numerical experiments class for Paper WH10.
Definition: WH10System.m:19
dscomponents.ACoreFun f
The core f function from the dynamical system.
WH10System(models.BaseFullModel model)
Definition: WH10System.m:47
double MaxTimestep
The maximum timestep allowed for any ODE solvers.
Base class for all KerMor first-order dynamical systems.