KerMor  0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Pages
ICIAMSystem.m
Go to the documentation of this file.
1 namespace models{
2 namespace iciam2011{
3 
4 
5 /* (Autoinserted by mtoc++)
6  * This source code has been filtered by the mtoc++ executable,
7  * which generates code that can be processed by the doxygen documentation tool.
8  *
9  * On the other hand, it can neither be interpreted by MATLAB, nor can it be compiled with a C++ compiler.
10  * Except for the comments, the function bodies of your M-file functions are untouched.
11  * Consequently, the FILTER_SOURCE_FILES doxygen switch (default in our Doxyfile.template) will produce
12  * attached source files that are highly readable by humans.
13  *
14  * Additionally, links in the doxygen generated documentation to the source code of functions and class members refer to
15  * the correct locations in the source code browser.
16  * However, the line numbers most likely do not correspond to the line numbers in the original MATLAB source files.
17  */
18 
29  public: /* ( setObservable ) */
30 
44  public: /* ( setObservable ) */
45 
46 
48 
49  this = this@models.BaseFirstOrderSystem(model);
50 
51  this.registerProps(" svNum ");
52 
53  /* % System settings */
54  dims = model.dim;
55  this.NumStateDofs= dims;
56  this.MaxTimestep= model.dt;
57 
58  /* Sample bases */
59  this.svNum= 20;
60  space = linspace(0,50,this.svNum);
61 
62  f = dscomponents.ParamTimeKernelCoreFun(this);
63  fe = f.Expansion;
64  fe.Centers.xi= repmat(space,dims,1);
65  fe.Centers.ti= [];
66  fe.Centers.mui= [];
67 
68  /* % BaseCompWiseKernelApprox settings
69  * Choose the kernel with such that each kernel vanishes (<
70  * kerneleps) after kernelsupport support vectors. */
71  kernelsupport = 2;
72  kerneleps = 0.00001;
73 
74  d = sqrt(dims)*space(2);
75  /* gamma = -((kernelsupport*d)^2)/log(kerneleps) preprint */
76  gamma = -((kernelsupport*d))/log(kerneleps);
77  fe.Kernel= kernels.GaussKernel(gamma);
78  fe.Kernel.G= 1;
79  /* this.SystemKernel = kernels.GaussKernel(1); */
80  fe.TimeKernel= kernels.NoKernel;
81  fe.ParamKernel= kernels.NoKernel;
82 
83  this.f= f;
84  this.updateDimensions;
86  }
87 
88 
89 };
90 }
91 }
92 
93 
94 
The base class for any KerMor detailed model.
Definition: BaseFullModel.m:18
double dt
The desired time-stepsize for simulations.
Definition: BaseModel.m:291
ICIAMSystem(models.BaseFullModel model)
Definition: ICIAMSystem.m:47
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: ICIAMSystem.m:19
dscomponents.ACoreFun f
The core f function from the dynamical system.
double MaxTimestep
The maximum timestep allowed for any ODE solvers.
Base class for all KerMor first-order dynamical systems.