Mathematical Sciences: Career Advancement Award: Ill-Posed Problems

这项研究需要应用一些现有的方法 数字分析，以制定适当的战略 一般区域上不适定问题的解 微分方程 调查结果将是 稳定性不等式的推导，其中重要的 可以获得误差估计。 近似方法和 有限元将被利用和适应的类 不适定的问题

The research entails applying a number of existing methods of numerical analysis to develop strategies appropriate for the solution of ill-posed problems in the general area of partial differential equations. An outcome of this investigation will be the derivation of stability inequalities from which significant error estimates may be obtained. Methods of approximation and of finite elements will be exploited and adapted to the classes of ill-posed problems in question.