SemiImplicitEuler: Solves ODEs in KerMor using implicit euler for the linear part and explicit euler for the nonlinear part. More...

Detailed Description

SemiImplicitEuler: Solves ODEs in KerMor using implicit euler for the linear part and explicit euler for the nonlinear part.

The existence of a nonlinear part for this solver is optional. The only requirement is to have the system component models.BaseDynSys.A

If an error estimator is set for this solver, the error estimation auxiliary ODE will be solved using an explicit euler scheme on the way.

This implementation replaces the former LinearImplEuler solver.

Author: Daniel Wirtz

Date: 2012-05-24

Change in 0.6:: (Daniel Wirtz, 2012-05-28) Added support for DEIMErrorEstimator use with this solver.

New in 0.6:: (Daniel Wirtz, 2012-05-24) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Homepage http://www.morepas.org/software/index.html
Documentation http://www.morepas.org/software/kermor/index.html
License KerMor license conditions

Definition at line 18 of file SemiImplicitEuler.m.

Public Member Functions
	SemiImplicitEuler (models.BaseFullModel model)

Public Member Functions inherited from solvers.BaseCustomSolver
	BaseCustomSolver ()

function [ rowvec t , matrix x ] =	solve (function_handle odefun,rowvec t,colvec x0)
	Solves the ode and wraps the actual solving method. More...

Public Member Functions inherited from solvers.BaseSolver
	BaseSolver ()

virtual function [ rowvec t , matrix x ] =	solve (odefun,rowvec t,colvec x0)
	The abstract solve function for the ODE solver. More...

Public Member Functions inherited from KerMorObject
	KerMorObject ()
	Constructs a new KerMor object. More...

function	display ()
	disp(object2str(this)); More...

function bool =	eq (B)
	Checks equality of two KerMor objects. More...

function bool =	ne (B)
	Checks if two KerMorObjects are different. More...

function cn =	getClassName ()
	Returns the simple class name of this object without packages. More...

Public Member Functions inherited from DPCMObject
	DPCMObject ()
	Creates a new DPCM object. More...

	DPCMObject ()

Protected Member Functions
function matrix < double > x =	customSolve (unused1,rowvec< double > t,colvec< double > x0,rowvec< integer > outputtimes)
	Implements the actual semi-implicit solving of the given ODE system. More...

Protected Member Functions inherited from solvers.BaseCustomSolver
virtual function colvec< double > x =	customSolve (odefun, t, x0, outputtimes)
	The abstract solve function for custom ODE solver implementations. More...

Protected Member Functions inherited from KerMorObject
function	checkType (obj, type)
	Object typechecker. More...

Protected Member Functions inherited from DPCMObject
function	registerProps (varargin)
	Call this method at any class that defines DPCM observed properties. More...

function	registerProps (varargin)

Additional Inherited Members
Static Public Member Functions inherited from solvers.BaseSolver
static function res =	test_SolverSpeedTest ()

Public Attributes inherited from solvers.BaseCustomSolver
EVENT	PreSolve
	Gets fired before the solver starts. More...

EVENT	PostSolve
	Gets fired after the solver has finished. More...

Public Attributes inherited from solvers.BaseSolver
double	MaxStep = "[]"
	Maximum time step for solver. More...

double	InitialStep = "[]"
	The initial step size for the solver. So far only used by the MLWrapper class for the native matlab solvers. More...

logical	RealTimeMode = false
	Determines if the solver's StepPerformed event should be used upon solving instead of returning the full trajectory as one. More...

dscomponents.AMassMatrix	M = "[]"
	The mass matrix \(M\) of the ODE \(M(t)x'(t) = \ldots\). More...

	Name = "KerMor BaseSolver class"
	The solver's name. More...

solvers.SolverTypes	SolverType = solvers.SolverTypes.Unknown
	The type of the solver. More...

EVENT	StepPerformed
	Gets fired when an ODE solver performs an intermediate step. More...

Public Attributes inherited from DPCMObject
	WorkspaceVariableName = ""
	The workspace variable name of this class. Optional. More...

	ID = "[]"
	An ID that allows to uniquely identify this DPCMObject (at least within the current MatLab session/context). More...

	PropertiesChanged = "[]"
	The Dictionary containing all the property settings as key/value pairs. More...

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...

Static Protected Member Functions inherited from DPCMObject
static function obj =	loadobj (obj, from)
	Re-register any registered change listeners! More...

static function obj =	loadobj (obj, from)

Constructor & Destructor Documentation

solvers.SemiImplicitEuler.SemiImplicitEuler ( models.BaseFullModel model )

Definition at line 56 of file SemiImplicitEuler.m.

References solvers.SolverTypes.Implicit, solvers.BaseSolver.Name, solvers.BaseSolver.SolverType, and models.BaseModel.System.

Member Function Documentation

function matrix< double > x = solvers.SemiImplicitEuler.customSolve	(		unused1,
		rowvec< double >	t,
		colvec< double >	x0,
		rowvec< integer >	outputtimes
	)

protected

Implements the actual semi-implicit solving of the given ODE system.

Change in 0.7:: (Daniel Wirtz, 2013-01-11) Using the outputtimes parameter in order to provide a more memory-efficient implementation.

Parameters

unused1	Marked as "~" in original m-file.
t	The time steps for the computation
x0	The initial value \(x(0) = x_0\) for \(t=0\)
outputtimes	index vector indicating at which of the times in t the output is actually desired. The solution will be returned at \(t_0,\ldots,t_N\) = t(outputtimes).

Return values

x	The solution of the ode at the time steps \(t_0,\ldots,t_N\) as matrix.

Definition at line 68 of file SemiImplicitEuler.m.

References l, solvers.BaseSolver.M, handle.notify, solvers.BaseSolver.RealTimeMode, t, and dscomponents.AMassMatrix.TimeDependent.

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

core/+solvers/SemiImplicitEuler.m

Detailed Description

Public Member Functions

Protected Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

Member Function Documentation