RADAU5 - Revision history

Jpye at 08:39, 16 June 2011

2011-06-16T08:39:49Z

← Older revision		Revision as of 08:39, 16 June 2011
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	[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.		[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.

			[[C S Karthik]] is working on RADAU5 as part of [[GSOC2011]].

Jpye at 09:03, 26 May 2011

2011-05-26T09:03:11Z

← Older revision		Revision as of 09:03, 26 May 2011
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	This is ASCEND wrapper for the '''RADAU5''' solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold, and with [http://www.unige.ch/~hairer/software.html source code available here]. From Hairer's webpage, RADAU5 implements "implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form <math>\mathrm{M} \mathbf{y^{'}} = \mathbf{f} \left(\mathbf{x},\mathbf{y} \right)</math> with possibly singular matrix <math>\mathrm{M}</math>; with dense output (collocation solution)."		This is ASCEND wrapper for the '''RADAU5''' solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold, and with [http://www.unige.ch/~hairer/software.html source code available here]. From Hairer's webpage, RADAU5 implements "implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form <math>\mathrm{M} \mathbf{y^{'}} = \mathbf{f} \left(\mathbf{x},\mathbf{y} \right)</math> with possibly singular matrix <math>\mathrm{M}</math>; with dense output (collocation solution)."

	This means that, in principle, RADAU5 can solve a sub-set of possible DAE systems. However since this imposes restrictions on the possible equation forms that can be ~~passes~~ to this solver, we need to check the equation structure before attempting to ~~solve~~ the system. This work is ongoing.		This means that, in principle, RADAU5 can solve a sub-set of possible DAE systems. However since this imposes restrictions on the possible equation forms that can be passed to this solver, whereas the ASCEND language itself imposes no such limitation, we therefore need to find a way to check the equation structure is acceptable before attempting to pass the system to RADAU5 for solution. This work is ongoing.

	[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.		[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.

Jpye at 09:02, 26 May 2011

2011-05-26T09:02:14Z

← Older revision		Revision as of 09:02, 26 May 2011
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	{{solvers}}{{experimental}}{{stub}}		{{solvers}}{{experimental}}{{stub}}
	This is ASCEND wrapper for the '''RADAU5''' solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold, and with [http://www.unige.ch/~hairer/software.html source code available here]. From Hairer's webpage, RADAU5 implements "implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form <math>\mathrm{M} \mathbf{y^{'}} = \mathbf{f} \left(\mathbf{x},\mathbf{y} \right)</math> with possibly singular matrix <math>\mathrm{M}</math>; with dense output (collocation solution)."		This is ASCEND wrapper for the '''RADAU5''' solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold, and with [http://www.unige.ch/~hairer/software.html source code available here]. From Hairer's webpage, RADAU5 implements "implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form <math>\mathrm{M} \mathbf{y^{'}} = \mathbf{f} \left(\mathbf{x},\mathbf{y} \right)</math> with possibly singular matrix <math>\mathrm{M}</math>; with dense output (collocation solution)."

			This means that, in principle, RADAU5 can solve a sub-set of possible DAE systems. However since this imposes restrictions on the possible equation forms that can be passes to this solver, we need to check the equation structure before attempting to solve the system. This work is ongoing.

	[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.		[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.

Jpye at 08:59, 26 May 2011

2011-05-26T08:59:35Z

← Older revision		Revision as of 08:59, 26 May 2011
Line 1:		Line 1:
	{{solvers}}{{experimental}}{{stub}}		{{solvers}}{{experimental}}{{stub}}
	This is the RADAU5 solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold.		This is ASCEND wrapper for the '''RADAU5''' solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold, and with [http://www.unige.ch/~hairer/software.html source code available here]. From Hairer's webpage, RADAU5 implements "implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form <math>\mathrm{M} \mathbf{y^{'}} = \mathbf{f} \left(\mathbf{x},\mathbf{y} \right)</math> with possibly singular matrix <math>\mathrm{M}</math>; with dense output (collocation solution)."

	[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.		[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.

Jpye at 08:22, 29 March 2011

2011-03-29T08:22:12Z

← Older revision		Revision as of 08:22, 29 March 2011
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	{{solvers}}{{stub}}		{{solvers}}{{experimental}}{{stub}}
	This is the RADAU5 solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold.		This is the RADAU5 solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold.

	[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.		[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.

Jpye: Created page with '{{solvers}}{{stub}} This is the RADAU5 solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold. Shrikanth Ranganadham is working on integrating RADAU5 into …'

2011-03-28T23:17:07Z

Created page with '{{solvers}}{{stub}} This is the RADAU5 solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold. Shrikanth Ranganadham is working on integrating RADAU5 into …'

New page

{{solvers}}{{stub}}
This is the RADAU5 solver, by Ernst Hairer, also referenced in the book by Ascher & Petzold.

[[Shrikanth Ranganadham]] is working on integrating RADAU5 into ASCEND as part of his current Masters project.