Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608644 | Journal of Complexity | 2014 | 38 Pages |
Abstract
We consider initial value problems for parameter dependent ordinary differential equations with values in a Banach space and study their complexity both in the deterministic and the randomized setting, for input data from various smoothness classes. We develop multilevel algorithms, investigate the convergence of their deterministic and stochastic versions, and prove lower bounds.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Thomas Daun, Stefan Heinrich,