Small errors imply large evaluation instabilities
CC BY
Lưu vào:
| Tác giả chính: | |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Nhà xuất bản: |
Springer
2023
|
| Chủ đề: | |
| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10444-023-10026-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7491 |
| Từ khóa: |
Thêm từ khóa
Không có từ khóa, Hãy là người đầu tiên đánh dấu biểu ghi này!
|
| id |
oai:localhost:PNK-7491 |
|---|---|
| record_format |
dspace |
| spelling |
oai:localhost:PNK-74912023-04-04T07:11:03Z Small errors imply large evaluation instabilities Robert, Schaback Numerical analysts Trade-off Principle CC BY Numerical analysts and scientists working in applications often observe that once they improve their techniques to get a better accuracy, some instability of the evaluation creeps in through the back door. This paper shows for a large class of numerical methods that such a Trade-off Principle between error and evaluation stability is unavoidable. It is an instance of a no free lunch theorem. Here, evaluation is the mathematical map that takes input data to output data. This is independent from the numerical routine that calculates the output. Therefore, evaluation stability is different from computational stability. The setting is confined to recovery of functions from data, but it includes solving differential equations by writing such methods as a recovery of functions under constraints imposed by differential operators and boundary values. 2023-04-04T07:11:03Z 2023-04-04T07:11:03Z 2023 Book https://link.springer.com/article/10.1007/s10444-023-10026-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7491 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Numerical analysts Trade-off Principle |
| spellingShingle |
Numerical analysts Trade-off Principle Robert, Schaback Small errors imply large evaluation instabilities |
| description |
CC BY |
| format |
Book |
| author |
Robert, Schaback |
| author_facet |
Robert, Schaback |
| author_sort |
Robert, Schaback |
| title |
Small errors imply large evaluation instabilities |
| title_short |
Small errors imply large evaluation instabilities |
| title_full |
Small errors imply large evaluation instabilities |
| title_fullStr |
Small errors imply large evaluation instabilities |
| title_full_unstemmed |
Small errors imply large evaluation instabilities |
| title_sort |
small errors imply large evaluation instabilities |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10444-023-10026-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7491 |
| _version_ |
1762274899498369024 |
| score |
8.891145 |