New High-Accurate Numerical Methods for Inverse Problems by the Direct Computations of Integral Equations of the First Kind
| Project/Area Number |
26400198
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Foundations of mathematics/Applied mathematics
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
滝口 孝志 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群), 総合教育学群, 准教授 (50523023)
|
|---|
| Project Period (FY) |
2014-04-01 – 2018-03-31
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
|---|
| Keywords | 高精度数値計算 / 数値的不安定性 / 逆問題 / 非適切問題 / 第一種積分方程式 / 多倍長計算 / 数値解析 / 高精度計算 |
|---|
| Outline of Final Research Achievements |
We showed reliable and high-accurate numerical computations to inverse scattering problem which was known as a typical ill-posed problems in the sense of Hadamard. High-accurate discretization methods play an essential role in our method, and particularly multiple-precision arithmetic is required to reduce rounding errors. We also developed multiple-precision arithmetic environment on MATLAB which was widely used in scientific and engineering computation. The environment is faster than the official multiple-precision arithmetic environment VPA.
|
Report
(5 results)
Research Products
(41 results)
