Assessment of errors in approximate solutions of differential equations

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dc.creator Duncan, W. J.
dc.date 2012-05-09T12:24:36Z
dc.date 2012-05-09T12:24:36Z
dc.date 1947-12
dc.date.accessioned 2022-05-09T10:17:16Z
dc.date.available 2022-05-09T10:17:16Z
dc.identifier http://dspace.lib.cranfield.ac.uk/handle/1826/7132
dc.identifier.uri https://reports.aerade.cranfield.ac.uk/handle/1826.2/4695
dc.description The term assessment is applied to any process which enables us to set rigid bounds to the error or to estimate its value. It is shown that upper and lower bounds can be assigned whenever the Green's function of the problem is one- signed; this is true in many important problems. Another method is applicable to step by step -solutions of ordinary differential equations, linear or non-linear, and depends on use of the "index" of the process of integration. Lastly, the error in a linear problem can be estimated when an approximation to the Green's function is known.
dc.language en
dc.publisher College of Aeronautics, Cranfield
dc.relation Cellege Report
dc.relation 13
dc.title Assessment of errors in approximate solutions of differential equations
dc.type Report


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