Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"Nonlinear eigenvalue problem"”.
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Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems
<p>In this thesis, we solve nonlinear differential equations by the homotopy analysis method (HAM), which is a semi-analytic method first introduced by Shijun Liao in 1992. The modified HAM can be viewed as a more generalized method that encloses many perturbation and non-perturbation methods. It …
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Solution of strained edge flames by a boundary value method
… novel numerical scheme is designed to solve the nonlinear eigenvalue problem based on the variable-density zero Mach number reactive Navier-Stokes equations. It employs a homotopy method to gradually map the solutions from the constant-density edge flame to the more challenging variable-density …
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Vibrations of mechanical structures: source localization and nonlinear eigenvalue problems for mode calculation
… bound (CRB) for this parameter estimation problem, with the unknown parameters being source location, source intensity, and the energy dissipation rate. In this framework, I show that the CRB matches the variance of maximum likelihood estimators (MLEs) in more computationally expensive …
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Noncooperative static and dynamic games: addressing shared constraints and phase transitions
Compared to linear systems, nonlinear generalizations may exhibit both non-equilibrium and equilibrium behavior in the long run. The characterization of such behavior is challenging, particularly when overlaid by an optimization or control layer, and is of relevance in a range of applications, …
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Shape optimization for thermoacoustic instability with an adjoint Helmholtz solver
… costly re-design. In this thesis we address the problem of finding accurately and at reduced computational cost the design changes that most stabilize a thermoacoustic system in the linear regime. We derive a Helmholtz equation with an unsteady heat release source and acoustic impedance boundary …