Globally optimal Runge-Kutta methods

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/n870zt541

Descriptions

Attribute Name	Values
Creator	Toms, Ralph Marvin
Abstract	A Runge-Kutta method has been developed to minimize the global error in the numerical solution of certain classes of differential equations problems. The distinguishing feature of the method is that the coefficients of the numerical integration formula depend on the initial conditions present at the time of solution. The method is intended for use in situations where a set of differential equations is to be solved repeatedly for different initial conditions. The method is particularly applicable to real time control system applications.
Resource Type	Dissertation
Date Available	2010-07-20T21:00:05+00:00
Date Issued	1973-08-09
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1974
Advisor	Davis, Joel
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Runge-Kutta formulas
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/16958

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