Milton W.Y. Wan. / Title also in Chinese. / Thesis (M.Phil.)--Chinese University of Hong Kong. / Bibliography: leaf [37]

The perturbation method is applied to solve two numerical problems in the earth sciences, viz., (l)the computation of deep sea currents in the coastal region of the northeast Pacific and (2) the interpretation of D.C. conduction data in exploration geophysics. The perturbation method is largely equivalent to the method of successive approximation. The variational method is also used in the study of the dynamics of the deep sea currents. The deep sea currents in the coastal region of the northeast Pacific can be calculated approximately by solving the linearized equations for long waves in shallow basins. Both the perturbation and the variational methods are employed to solve these equations in the case of step shelf models approximating the shelf contours in the region. It is concluded that the perturbation method using the Fourier transform technique is to be preferred for the problem at hand. The results show that the topography of the continental shelf and the continental slope has only a minor effect on the deep sea currents in the abyssal plain region. In the case of the D.C. conduction exploration method, the perturbation method is applied both to the problem of computing the surface potential due to a given conductivity distribution and also to the inverse problem of interpreting given field data. The first case involves the solving of an ordinary second order differential equation by numerical methods followed by a numerical Hankel transformation. The inversion procedure involves, in particular, the numerical inversion of a Laplace transformation. The application of these methods to two- and three-layer cases is demonstrated by working out some examples. It is shown that the perturbation method can be applied with good results provided certain conditions are satisfied. The main practical difficulty is encountered in the numerical Laplace inversion which is an improperly posed problem. / Graduation date: 1974

Tsui Lung Kwan = 致密星的準簡正模 : 以微擾方程為基礎之研究 / 徐隆焜. / Thesis submitted in: August 2003. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 98-100). / Text in English; abstracts in English and Chinese. / Tsui Lung Kwan = Zhi mi xing de zhun jian zheng mo : yi wei rao fang cheng wei ji chu zhi yan jiu / Xu Longkun. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Oscillating Stars and Gravitational Waves --- p.1 / Chapter 1.2 --- Outline of the Thesis --- p.3 / Chapter 2 --- Stellar Structure and Mode Classifications --- p.5 / Chapter 2.1 --- Relativistic Stars --- p.5 / Chapter 2.2 --- Equation of State --- p.6 / Chapter 2.3 --- Mode Classifications --- p.9 / Chapter 3 --- Axial w-mode Oscillations --- p.16 / Chapter 3.1 --- Equations of Stellar Oscillations --- p.16 / Chapter 3.2 --- Evaluation of QNMs --- p.18 / Chapter 3.3 --- General features of QNMs --- p.20 / Chapter 4 --- Universal behavior of axial QNMs --- p.22 / Chapter 4.1 --- BBF universal curve --- p.22 / Chapter 4.2 --- Scaled Coordinates --- p.26 / Chapter 4.3 --- Universality of Vrw(r*) inside stars --- p.29 / Chapter 4.3.1 --- Searching for the universality inside stars --- p.29 / Chapter 4.3.2 --- Simple analysis --- p.35 / Chapter 4.3.3 --- The importance of R* --- p.38 / Chapter 5 --- Scaled Coordinates Logarithmic Perturbation Theory --- p.40 / Chapter 5.1 --- The scaled axial oscillation equations --- p.41 / Chapter 5.2 --- The Formalism of SCLPT --- p.41 / Chapter 5.2.1 --- Perturbation parameter --- p.42 / Chapter 5.2.2 --- Perturbation-dependent boundary condition --- p.43 / Chapter 5.2.3 --- The first order perturbation --- p.44 / Chapter 5.2.4 --- The second order perturbation --- p.48 / Chapter 6 --- Cubic-Quintic Model of Neutron Stars --- p.53 / Chapter 6.1 --- Cubic-Quintic Model (CQM) --- p.53 / Chapter 6.2 --- The fluid functions --- p.54 / Chapter 6.3 --- The metric coefficients --- p.56 / Chapter 6.4 --- The tortoise radius R* --- p.58 / Chapter 6.5 --- The QNM frequencies --- p.60 / Chapter 7 --- The Chain of Approximations --- p.63 / Chapter 8 --- Inversion of QNMs --- p.72 / Chapter 8.1 --- The modified SCLPT --- p.72 / Chapter 8.2 --- The Inverting Scheme --- p.76 / Chapter 8.3 --- Application of the Inverting Scheme --- p.79 / Chapter 8.4 --- Improved Inverting Scheme --- p.80 / Chapter 9 --- Conclusion --- p.87 / Chapter 9.1 --- Summary of Our Work --- p.87 / Chapter 9.2 --- Outlook --- p.88 / Chapter A --- Linear and Quadratic Models --- p.90 / Chapter A.1 --- Linear Model (LM): Mass oc r --- p.90 / Chapter A.2 --- Quadratic Model (QM): Mass oc r2 --- p.93 / Chapter B --- The relationship between R* and the mass distribution --- p.96 / Bibliography --- p.98

No description available.

Thesis (PhD)--University of South Australia, 1998

Thesis (PhD)--University of South Australia, 1997

Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 208-218).

Thesis (Ph. D.)--University of Washington. / Bibliography: l. 121-123.

Thesis (Ph. D.)--University of Hong Kong, 1999. / Includes bibliographical references (leaves 94-95).

Thesis (Ph.D)--Aerospace Engineering, Georgia Institute of Technology, 2009. / Committee Chair: Hanagud, Sathya; Committee Member: Apetre, Nicole; Committee Member: Engelstad, Steve; Committee Member: Glass, Brian; Committee Member: Kardomateas, George; Committee Member: Ruzzene, Massimo. Part of the SMARTech Electronic Thesis and Dissertation Collection.