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dc.contributor.authorNadkarni, Sharvarien_US
dc.identifier.otherbibid: 8213925
dc.description.abstractLagrangian Perturbation Theory (LPT) is a powerful method to model nonlinear evolution of large scale structure analytically. This thesis investigates the convergence properties of this theory by applying it to a simple test problem the spherical top-hat. The method of Largangian re-expansions is introduced to improve the convergence properties of the series. This method involves reexpanding the solution in overlapping time domains, each domain subject to a time of validity criteria. The results show that there is a trade-off between the Lagrangian order and number of steps; one can achieve the same accuracy with a lower order scheme and more time steps as that with a higher order scheme and a single step. The method developed based on the top-hat is then applied to model evolution of inhomogeneous initial conditions. A numerical code is developed and tested. Tests of convergence with Lagrangian order, step size and grid size are presented.en_US
dc.subjectCosmology - Large Scale Structure.en_US
dc.titleModeling Non-Linear Large Scale Structure Using Lagrangian Perturbation Theory.en_US
dc.typedissertation or thesisen_US Universityen_US of Philosophy D., Physics
dc.contributor.chairBean, Rachel E.en_US
dc.contributor.committeeMemberFlanagan, Eanna Een_US
dc.contributor.committeeMemberChernoff, David Fisheren_US
dc.contributor.committeeMemberDavis, James C.en_US

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