Numerical error bounds for fourth order boundary value problems,simultaneous estimation ofu(x) andu″(x) |
| |
Authors: | Johann Schröder |
| |
Affiliation: | (1) Mathematisches Institut, Universität Köln, D-5000 Köln 41, (Fed. Rep.) |
| |
Abstract: | Summary For certain nonlinear two-point boundary value problems of the fourth order an estimation theory is developed which yields simultaneous estimates of the solution and its second derivative. Methods for computing numerical error bounds for approximate solutions are described and tested. The theory provides also uniqueness and existence statements. The results can be applied to many problems for which a corresponding theory on two-sided bounds is not suitable. |
| |
Keywords: | AMS (MOS): 34A40, 34A50, 34B15, 65L16 CR5.11, 5.17 |
本文献已被 SpringerLink 等数据库收录! |
|