Date of Award
8-1986
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Dr. Philip Hsieh
Second Advisor
Dr. Yousef Alavi
Third Advisor
Dr. Paul Eenigenburg
Fourth Advisor
Dr. Erik Schreiner
Abstract
This work provides solid asymptotic representations, sharp error bounds and stable recurrence methods (both three term and two dimensional) for the Jacobi moments. These moments are currently used in several areas of numerical analysis (numerical integration, integral equations and boundary value problems).
A powerful representation theorem, due to H. Gingold, which uses the Jacobi moments is extended and analyzed. Applications of this theorem to multi-turning point problems and several other areas are given.
For a number of important problems in mathematical physics it is not possible to prove that the currently employed methods of solution converge, or are valid in any sense. In many such cases our methods may be shown to be uniformly convergent and numerically stable.
Access Setting
Dissertation-Open Access
Recommended Citation
Kapenga, John A., "Jacobi Moments in Applied Mathematics with Computer Applications" (1986). Dissertations. 2285.
https://scholarworks.wmich.edu/dissertations/2285