User:Karthik0112358 - Revision history

Karthik0112358 at 03:32, 26 August 2011

2011-08-26T03:32:26Z

← Older revision		Revision as of 03:32, 26 August 2011
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			'''C S Karthik''' is an undergraduate at IIT-Bombay and is working on adding the Mass Matrix functionality in Radau5 Solver for ASCEND during [[GSOC2011]].

			Code branch: {{srcbranchdir\|karthik\|}}

			== Goals ==
			# Evaluation of mass matrix for a wide range of systems of equations, in the form of a set of CUnit test cases:
			## <strike style="color:green">Accepting all equations and creating a mass matrix of correct dimensions.</strike>
			## <strike style="color:green">Identifying all derivatives in an equation.</strike>
			### <strike style="color:green">Finding the real values of derivative variables.</strike>
			### <strike style="color:green">Identifying the derivatives using these real values.</strike>
			## <strike style="color:green">Checking if the equation is linear with respect to the derivatives.</strike>
			### <strike style="color:green">If the coefficient of the derivative contains another variable which is not fixed.</strike>
			### <strike style="color:green">If the derivative is raised to a power other than 1.</strike>
			### <strike style="color:green">If the derivative is in the denominator.</strike>
			### <strike style="color:green">If the derivative is present in the index of any term.</strike>
			### <strike style="color:green">If the derivative is inside a function.</strike>
			### <strike style="color:green">If the coefficient of derivative contains a function.</strike>
			### <strike style="color:green">Display corresponding error messages.</strike>
			## <strike style="color:green">Evaluating the coefficient.</strike>
			### <strike style="color:green">Evaluating a base coefficient to the derivative.</strike>
			### <strike style="color:green">Compounding the base coefficient while processing terms in the equation.</strike>
			### <strike style="color:green">Processing the coefficients and entering them to the mass matrix.</strike>
			## Test with CUnit.
			# Complete DAE solution of those solutions using RADAU5.

	== Progress reports ==		== Progress reports ==
	'''August 24'''		'''August 24'''

Karthik0112358: /* Mathematical note on my project */

2011-08-25T15:40:48Z

Mathematical note on my project

← Older revision		Revision as of 15:40, 25 August 2011
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	* If the dimension of the Mass Matrix, <math>\mathrm{M}</math> is ''a''x''b'' (i.e. ''a'' rows and ''b'' columns) then ''a'' is equal to the number of equations and ''b'' is equal to the dimension of vector space in which ''y(t)'' lies.		* If the dimension of the Mass Matrix, <math>\mathrm{M}</math> is ''a''x''b'' (i.e. ''a'' rows and ''b'' columns) then ''a'' is equal to the number of equations and ''b'' is equal to the dimension of vector space in which ''y(t)'' lies.
	* Let ''m''<sub>ij</sub> be the element at the ''m''<sup>th</sup> row and ''n''<sup>th</sup> column of Mass Matrix <math>\mathrm{M}</math>. So ''m''<sub>ij</sub> are the coefficients of the derivative operators in the set of Differential Algebraic equations. Note that every ''m''<sub>ij</sub> has to be a constant.		* Let ''m''<sub>ij</sub> be the element at the ''m''<sup>th</sup> row and ''n''<sup>th</sup> column of Mass Matrix <math>\mathrm{M}</math>. So ''m''<sub>ij</sub> are the coefficients of the derivative operators in the set of Differential Algebraic equations. Note that every ''m''<sub>ij</sub> has to be a constant.
	* Initial data and the set of equations are accepted through ascend model files and the mass matrix is calculated.		* Initial data and the set of equations are accepted through ascend model files and the mass matrix is calculated (ONCE).
	* The solutions are determined in a neighborhood of the initial input time by RADAU5 solver.		* The solutions are determined in a neighborhood of the initial input time by RADAU5 solver.

Karthik0112358: /* Progress reports */

2011-08-25T15:39:29Z

Progress reports

@@ Line 1: / Line 1: @@
 == Progress reports ==
 '''August 24'''
@@ Line 314: / Line 289: @@
 [[Category:GSOC2011]]
 [[Category:ASCEND Contributors]]

Karthik0112358: /* Progress reports */

2011-08-24T22:35:23Z

Progress reports

← Older revision		Revision as of 22:35, 24 August 2011
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	== Progress reports ==		== Progress reports ==
			'''August 24'''

			Example of mass matrix for DAE.

			[[File:Demonstration of Mass Matrix for DAE.png]]

	'''August 22'''		'''August 22'''

Karthik0112358 at 23:23, 22 August 2011

2011-08-22T23:23:17Z

← Older revision		Revision as of 23:23, 22 August 2011
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	[[File:Computing Coefficient.png]]		[[File:Computing Coefficient.png]]

			[[File:Derivative in index.png]]

			[[File:Derivative raised to power.png]]

			[[File:Non-Constant_coefficients.png]]

			[[File:Check_in_Denominator.png]]

	'''August 19'''		'''August 19'''

Karthik0112358 at 23:16, 22 August 2011

2011-08-22T23:16:24Z

← Older revision		Revision as of 23:16, 22 August 2011
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	Added some screen shots:		Added some screen shots:

	[[File:~~Demonstration of Computation of Mass Matrix -~~ Computing Coefficient.png]]		[[File:Computing Coefficient.png]]

	'''August 19'''		'''August 19'''

Karthik0112358 at 23:15, 22 August 2011

2011-08-22T23:15:36Z

← Older revision		Revision as of 23:15, 22 August 2011
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	Added some screen shots:		Added some screen shots:
	[[File:~~PyGTK Study~~ - 15.png]]
			[[File:Demonstration of Computation of Mass Matrix - Computing Coefficient.png]]

	'''August 19'''		'''August 19'''

Karthik0112358 at 23:05, 22 August 2011

2011-08-22T23:05:22Z

← Older revision		Revision as of 23:05, 22 August 2011
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	'''C S Karthik''' is an undergraduate at IIT-Bombay and is working on ~~addition of an rSQP optimiser~~ for ASCEND during [[GSOC2011]].		'''C S Karthik''' is an undergraduate at IIT-Bombay and is working on adding the Mass Matrix functionality in Radau5 Solver for ASCEND during [[GSOC2011]].

	Code branch: {{srcbranchdir\|karthik\|}}		Code branch: {{srcbranchdir\|karthik\|}}
Line 25:		Line 25:

	== Progress reports ==		== Progress reports ==
			'''August 22'''

			Added some screen shots:
			[[File:PyGTK Study - 15.png]]

	'''August 19'''		'''August 19'''

Karthik0112358: /* Progress reports */

2011-08-19T22:48:05Z

Progress reports

← Older revision		Revision as of 22:48, 19 August 2011
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	== Progress reports ==		== Progress reports ==
			'''August 19'''

			Wrote [http://ascend4.org/User:Karthik0112358/test_radau5 test_radau5.c]. Working on some issues.

	'''August 15'''		'''August 15'''

Karthik0112358: /* Goals */

2011-08-15T11:16:29Z

Goals

← Older revision		Revision as of 11:16, 15 August 2011
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	# Evaluation of mass matrix for a wide range of systems of equations, in the form of a set of CUnit test cases:		# Evaluation of mass matrix for a wide range of systems of equations, in the form of a set of CUnit test cases:
	## <strike style="color:green">Accepting all equations and creating a mass matrix of correct dimensions.</strike>		## <strike style="color:green">Accepting all equations and creating a mass matrix of correct dimensions.</strike>
	## <~~span~~ style="color:green">Identifying all derivatives in an equation.</~~span~~>		## <strike style="color:green">Identifying all derivatives in an equation.</strike>
	### Finding the real values of derivative variables.		### <strike style="color:green">Finding the real values of derivative variables.</strike>
	### <strike style="color:green">Identifying the derivatives using these real values.</strike>		### <strike style="color:green">Identifying the derivatives using these real values.</strike>
	## <~~span~~ style="color:green">Checking if the equation is linear with respect to the derivatives.</~~span~~>		## <strike style="color:green">Checking if the equation is linear with respect to the derivatives.</strike>
	### <strike style="color:green">If the coefficient of the derivative contains another variable which is not fixed.</strike>		### <strike style="color:green">If the coefficient of the derivative contains another variable which is not fixed.</strike>
	### <strike style="color:green">If the derivative is raised to a power other than 1.</strike>		### <strike style="color:green">If the derivative is raised to a power other than 1.</strike>
	### <strike style="color:green">If the derivative is in the denominator.</strike>		### <strike style="color:green">If the derivative is in the denominator.</strike>
	### <strike style="color:green">If the derivative is present in the index of any term.</strike>		### <strike style="color:green">If the derivative is present in the index of any term.</strike>
	### <~~span~~ style="color:green">If the derivative is inside a function.</~~span~~>		### <strike style="color:green">If the derivative is inside a function.</strike>
	### <~~span~~ style="color:green">If the coefficient of derivative contains a function.</~~span~~>		### <strike style="color:green">If the coefficient of derivative contains a function.</strike>
	### Display corresponding error messages.		### <strike style="color:green">Display corresponding error messages.</strike>
	## <strike style="color:green">Evaluating the coefficient.</strike>		## <strike style="color:green">Evaluating the coefficient.</strike>
	### <strike style="color:green">Evaluating a base coefficient to the derivative.</strike>		### <strike style="color:green">Evaluating a base coefficient to the derivative.</strike>
	### <strike style="color:green">Compounding the base coefficient while processing terms in the equation.</strike>		### <strike style="color:green">Compounding the base coefficient while processing terms in the equation.</strike>
	### <strike style="color:green">Processing the coefficients and entering them to the mass matrix.</strike>		### <strike style="color:green">Processing the coefficients and entering them to the mass matrix.</strike>
			## Test with CUnit.
	# Complete DAE solution of those solutions using RADAU5.		# Complete DAE solution of those solutions using RADAU5.