Examination questions: qualifying examination: numerical analysis


M.S. Candidates 4 problems; Ph.D. Candidates-6 problems. i. Consider the boundary value problem u" = f(t,u); u(O) = ~,u(1) = where f s C~([O,i] x R') and 8f/Su ~ 0. (a) Describe a complete algorithm which produces a second order discrete approximation to u. (b) Describe two methods for increasing the accuracy of the approximation in part (a) to fourth order. 2. If u is a real valued function defined on the grid [hi = {h,2h .....

DOI: 10.1145/1198472.1198474

Cite this paper

@inproceedings{Traub1967ExaminationQQ, title={Examination questions: qualifying examination: numerical analysis}, author={Joseph F. Traub}, booktitle={SGNM}, year={1967} }