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The Global ETD Search service is a free service for researchers
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Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Showing 1301 to 1310 of 2417 (0.042 seconds)| 1301 |
Finite element studies of the Korteweg-de Vries equationAli, A. H. A. January 1989 (has links)
The main aim of this study is the construction of new, efficient, and accurate numerical algorithms based on the finite element method, for the solution of the Korteweg-de Vries equation. Firstly the theoretical background to the KdV equation is discussed, and existing numerical methods based mainly on finite differences are discussed. In the following chapters finite element methods based on Bubnov-Galerkin approach are set up. Initially we used cubic Hermite interpolation functions, and in later methods cubic spline and quadratic spline shape functions. The appropriate element matrices were determined algebraically using the computer algebra package REDUCE. Finally we set up a method based on collocation using quintic spline interpolation functions. The numerical algorithms have been validated by studying the motion, interaction and deve lopment of solitons. We have demonstrated that these algorithms can faithfully represent the amplitude of a single soliton over many time steps and predict the progress of the wave front with small error. In the interaction of two solitons the numerical algorithms faithfully reproduce the changes in amplitudes and phase shifts of the analytic solution. We compare, in detai 1 the L - and L -error norms of the 2 00 present algorithms with published results. The conservative properties of the algorithms are also examined in detail. The modified and generalised Korteweg-de Vries equation have also been solved using collocation method with quintic splines interpolation functions. Again, the solution method has been validated by studying the motion, interaction, and development of solitons. We have concluded that all the new methods set up here are capable of reproducing the solutions to the KdV equation efficiently and accurately, the best amongst these methods are collocation with quintic splines or Galerkin with quadratic splines. The collocation method is also very efficient and accurate for solving the modified KdV equation.
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| 1302 |
Co-growth in nilpotent groupsWilson, Aaron Thomas January 2001 (has links)
No description available.
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| 1303 |
Domain embedding boundary integral equation methods and parabolic PDEsLangdon, Stephen January 1999 (has links)
No description available.
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| 1304 |
Rearrangements and partial differential equations for planar vorticesEmamizadeh, Behrouz January 1998 (has links)
No description available.
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| 1305 |
Wiener-Hopf factorization of symmetric processes and stochastic networksMarles, David S. January 1999 (has links)
No description available.
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| 1306 |
The computation of eigenvalues of large sparse matricesHawkins, Stuart C. January 1999 (has links)
No description available.
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| 1307 |
The dynamics of numerical methods for initial value problemsLord, Gabriel James January 1994 (has links)
No description available.
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| 1308 |
User interfaces for numeric computation in symbolic environmentsRichardson, Michael Gerard January 1997 (has links)
No description available.
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| 1309 |
Order sorted computer algebra and coercionsDoye, Nicolas James January 1997 (has links)
No description available.
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| 1310 |
Markov Chain Monte Carlo methods for simulation in pedigreesCheal, Ryan January 1996 (has links)
No description available.
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