التفاصيل البيبلوغرافية
| العنوان: |
An $\mathcal H_2$-Type Error Bound for Time-Limited Balanced Truncation |
| المؤلفون: |
Redmann, Martin, Kürschner, Patrick |
| سنة النشر: |
2017 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Optimization and Control, 93A15, 93B99, 93C05, 93C15, 93D20 |
| الوصف: |
When solving partial differential equations numerically, usually a high order spatial discretization is needed. Model order reduction (MOR) techniques are often used to reduce the order of spatially-discretized systems and hence reduce computational complexity. A particular MOR technique to obtain a reduced order model (ROM) is balanced truncation (BT). However, if one aims at finding a good ROM on a certain finite time interval only, time-limited BT (TLBT) can be a more accurate alternative. So far, no error bound on TLBT has been proved. In this paper, we close this gap in the theory by providing an $\mathcal H_2$ error bound for TLBT with two different representations. The performance of the error bound is then shown in several numerical experiments. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/1710.07572 |
| رقم الانضمام: |
edsarx.1710.07572 |
| قاعدة البيانات: |
arXiv |