Formal numerical characteristics of closed constrained incremental successive substitution algorithms |
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| Authors: | Joseph Padovan Tomas Arechaga |
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| Institution: | Department of Mechanical Engineering, The University of Akron, Akron, OH 44325, USA U.S.A. |
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| Abstract: | This paper establishes the formal numerical characteristics of closed constrained incremental successive substitution algorithms. The overall formalism gives detailed consideration to such items as the determination of: safety zones wherein the algorithm possesses inherently stable convergence characteristics; existence, uniqueness and convergence properties; formal limitations on the class of functions to which the scheme applies and lastly, establishes self-adaptive attributes. To simplify the presentation, the operators employed are cast in the functional format associated with nonlinear heat conduction. |
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