Print Email Facebook Twitter Assessment of errors in approximate solutions of differential equations Title Assessment of errors in approximate solutions of differential equations Author Duncan, W.J. Institution College of Aeronautics Cranfield Date 1947-12-31 Abstract 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. The College of Aeronautics was founded in 1946 and was granted university status in 1969 becoming the Cranfield Institute of Technology. In 1993 it changed its name to Cranfield University. To reference this document use: http://resolver.tudelft.nl/uuid:68939aa9-a405-43a2-9977-f59c8d0b2821 Publisher College of Aeronautics Cranfield Source College of Aeronautics Report 13 Part of collection Aerospace Engineering Reports Document type report Rights (c) 1947 College of Aeronautics Cranfield Files PDF Report_No-13_1947.pdf 7.57 MB Close viewer /islandora/object/uuid:68939aa9-a405-43a2-9977-f59c8d0b2821/datastream/OBJ/view