지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The primary aim of the paper is to solve an unstable axisymmetric initial value problem of wave propagation when given initial data that is deteriorated by noise such as measurement error. To overcome the instability of the problem, Tikhonov's regularization, known as a non-iterative numerical regularization method, is introduced to solve the problem. The L-curvecriterion is introduced to find the optimal regularization parameter for the solution. It is confirmed that fairly stable solutions arc realized and that they are accurate when compared to the exact solution.
목차
ABSTRACT
1. Introduction
2. The Axisymmetric Cauchy-Poisson Problem : Spectrum with Compact Support
3. Instability
4. Tikhonov‘s regularization
5. Numerical experiments
6. Conclusions
Acknowledgement
References
참고문헌 (22)
참고문헌 신청
1. [단행본] - Bassanini, P. / 1997 / A Theory and Applications of Partial Differential Equations / Plenum Press
2. [단행본] - Debnath, L. / 1994 / Nonlinear Water Waves / Academic Press, Inc : 35 ~ 74
3. [학술지(정기간행물)] - Fridman, V. / 1965 / A Method of Successive Approximations for Fredholm Integral Equations of the First Kind / Uspeki mat. Nauk. 11 : 233 ~ 234
4. [단행본] - Groetsch, C.W. / 1993 / Inverse Problems in the Mathematical Sciences / Vieweg
5. [단행본] - Hadamard, J. / 1923 / Lectures on the Cauchy Problem in Linear Partial Differential Equations / Yale University Press
2. [단행본] - Debnath, L. / 1994 / Nonlinear Water Waves / Academic Press, Inc : 35 ~ 74
3. [학술지(정기간행물)] - Fridman, V. / 1965 / A Method of Successive Approximations for Fredholm Integral Equations of the First Kind / Uspeki mat. Nauk. 11 : 233 ~ 234
4. [단행본] - Groetsch, C.W. / 1993 / Inverse Problems in the Mathematical Sciences / Vieweg
5. [단행본] - Hadamard, J. / 1923 / Lectures on the Cauchy Problem in Linear Partial Differential Equations / Yale University Press
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