Theory of reproducing kernels
S Saitoh - Analysis and Applications—ISAAC 2001, 2003 - Springer
In this survey article, we would like to show that the theory of reproducing kernels is
fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall …
fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall …
Sampling and reconstructing diffusion fields with localized sources
We study the spatiotemporal sampling of a diffusion field generated by K point sources,
aiming to fully reconstruct the unknown initial field distribution from the sample …
aiming to fully reconstruct the unknown initial field distribution from the sample …
Applications of the reproducing kernel theory to inverse problems
S Saitoh - Communications of the Korean Mathematical Society, 2001 - koreascience.kr
APPLICATIONS OF THE REPRODUCING KERNEL THEORY TO INVERSE PROBLEMS -Communications
of the Korean Mathematical Society Article Info. 1.Home 2.Article Info. Communications of the …
of the Korean Mathematical Society Article Info. 1.Home 2.Article Info. Communications of the …
Sensor networks for diffusion fields: Detection of sources in space and time
I Dokmanić, J Ranieri, A Chebira… - 2011 49th Annual …, 2011 - ieeexplore.ieee.org
We consider the problem of reconstructing a diffusion field, such as temperature, from
samples collected by a sensor network. Motivated by the fast decay of the eigenvalues of the …
samples collected by a sensor network. Motivated by the fast decay of the eigenvalues of the …
Analytic extension formulas, integral transforms and reproducing kernels
S Saitoh - Analytic extension formulas and their applications, 2001 - Springer
Analytic extension formulas, integral transforms and reproducing kernels Page 210 12 ANALYTIC
EXTENSION FORMULAS, INTEGRAL TRANSFORMS AND REPRODUCING KERNELS …
EXTENSION FORMULAS, INTEGRAL TRANSFORMS AND REPRODUCING KERNELS …
[HTML][HTML] 二维热传导方程初始条件反问题的数值求解
闵涛， 韩莹莹 - 数学杂志, 2022 - sxzz.whu.edu.cn
二维热传导方程初始条件反问题的数值求解 数学杂志 2022, Vol. 42 Issue (6): 513-522 PDF 扩展
功能 加入收藏夹 复制引文信息 加入引用管理器 Email Alert RSS 本文作者相关文章 闵涛 韩莹莹 …
功能 加入收藏夹 复制引文信息 加入引用管理器 Email Alert RSS 本文作者相关文章 闵涛 韩莹莹 …
Inverse estimates for nonhomogeneous backward heat problems
T Min, W Fu, Q Huang - Journal of Applied Mathematics, 2014 - Wiley Online Library
We investigate the inverse problem in the nonhomogeneous heat equation involving the
recovery of the initial temperature from measurements of the final temperature. This problem …
recovery of the initial temperature from measurements of the final temperature. This problem …
Size of support of initial heat distribution in the 1D heat equation
VK Tuan, S Saitoh, M Saigo - Applicable Analysis, 2000 - Taylor & Francis
Size of support of initial heat distribution in the 1D heat equation Page 1 Applicable Analysis.
Vol. 74(34), pp. Reprints available directly from the Publisher Photocopying peimined by …
Vol. 74(34), pp. Reprints available directly from the Publisher Photocopying peimined by …
[PDF][PDF] Reconstruction of initial heat distribution via Green function method
X Fang, Y Deng, Z Zhang - Electronic Research Archive, 2022 - aimspress.com
In this paper, layer potential techniques are investigated for solving the thermal diffusion
problem. We construct the Green function to get the analytic solution. Moreover, by …
problem. We construct the Green function to get the analytic solution. Moreover, by …
Various stability estimates for the problem of determining an initial heat distribution from a single measurement
M Choulli - arXiv preprint arXiv:1512.07421, 2015 - arxiv.org
We consider the problem of determining the initial heat distribution in the heat equation from
a point measurement. We show that this inverse problem is naturally related to the one of …
a point measurement. We show that this inverse problem is naturally related to the one of …