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pro vyhledávání: '"Lee, Walter"'
In this paper we study the inverse Laplace transform. We first derive a new global logarithmic stability estimate that shows that the inversion is severely ill-posed. Then we propose a regularization method to compute the inverse Laplace transform us
Externí odkaz:
http://arxiv.org/abs/2304.08057
Autor:
Lee, Walter C.
In response to the student retention and diversity issues that have been persistent in undergraduate engineering education, many colleges have developed Engineering Student Support Centers (ESSCs) such as Minority Engineering Programs (MEPs) and Wome
Externí odkaz:
http://hdl.handle.net/10919/51680
Autor:
Lee, Walter C. Simo Tao
This paper addresses a backward heat conduction problem with fractional Laplacian and time-dependent coefficient in an unbounded domain. The problem models generalized diffusion processes and is well-known to be severely ill-posed. We investigate a s
Externí odkaz:
http://arxiv.org/abs/2202.10264
Autor:
Lee, Walter Simo Tao
This paper focuses on the regularization of backward time-fractional diffusion problem on unbounded domain. This problem is well-known to be ill-posed, whence the need of a regularization method in order to recover stable approximate solution. For th
Externí odkaz:
http://arxiv.org/abs/2112.15504
The Cauchy problem for the inhomogeneous Helmholtz equation with non-uniform refraction index is considered. The ill-posedness of this problem is tackled by means of the variational form of mollification. This approach is proved to be consistent, and
Externí odkaz:
http://arxiv.org/abs/2105.02665
Autor:
Lee, Walter Cedric Simo Tao
In this paper, we address the problem of approximating solutions of ill-posed problems using mollification. We quickly review existing mollification regularization methods and provide two new approximate solutions to a general ill-posed equation $T(f
Externí odkaz:
http://arxiv.org/abs/2003.07913
Akademický článek
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Autor:
Dov, David, Elliott Range, Danielle, Cohen, Jonathan, Bell, Jonathan, Rocke, Daniel J., Kahmke, Russel R., Weiss-Meilik, Ahuva, Lee, Walter T., Henao, Ricardo, Carin, Lawrence, Kovalsky, Shahar Z.
Publikováno v:
In The American Journal of Pathology September 2023 193(9):1185-1194
Autor:
Lee, Walter Cedric Simo Tao
This paper provides a new regularization method which is particularly suitable for linear exponentially ill-posed problems. Under logarithmic source conditions (which have a natural interpretation in terms of Sobolev spaces in the aforementioned cont
Externí odkaz:
http://arxiv.org/abs/1909.12020
Autor:
Assaad, Serge, Dov, David, Davis, Richard, Kovalsky, Shahar, Lee, Walter T., Kahmke, Russel, Rocke, Daniel, Cohen, Jonathan, Henao, Ricardo, Carin, Lawrence, Range, Danielle Elliott
Publikováno v:
In Modern Pathology June 2023 36(6)