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 8 of 8 for “"power series expansion"”.
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Third-order charged particle beam optics
… from a certain ideal trajectory. One uses power series expansion of the phase-space coordinates to obtain the transfer matrices for a particular optical system.
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ΜΑΘΗΜΑΤΙΚΗ ΠΕΡΙΓΡΑΦΗ ΤΗΣ ΔΙΑΔΟΣΗΣ ΤΩΝ ΜΗ ΓΡΑΜΜΙΚΩΝ ΔΙΑΣΠΕΙΡΟΜΕΝΩΝ ΚΥΜΑΤΙΣΩΝ ΣΤΟΝ ΠΑΡΑΚΤΙΟ ΧΩΡΟ
… TRANSPORT EQUATION (K-MODEL). BASED ON A POWER SERIES EXPANSION FOR THE DISTRIBUTION OVER THE DEPTH OF THE VERTICAL VELOCITY WE PROPOSE AN EXTENSION OF THE EQUATIONS IN DEEPER WATERS. THE MODEL IS TESTED AGAINST EXPERIMENTAL DATA AND ANALYTICAL SOLUTIONS.
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The Asymptotic Behaviour of the Riemann Mapping Function at Analytic Cusps
… can be developed in a certain generalised power series which in turn enables to examine the o-minimal content of the Riemann Mapping Theorem. To obtain a similar statement for domains with analytic cusps, it is necessary to investigate the asymptotic behaviour of a Riemann map at the cusp …
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Perturbation theory for the topological pressure in analytic dynamical systems
… to the problem of finding the perturbative expansion for the topological pressure for an analytic expanding dynamics (/, M) on a Riemannian manifold M. The method is based on the spectral analysis of the transfer operator C. We show that in typical cases, when / depends real-analytically on …
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Holomorphic Extensions in the Structure R_{an,exp}
… which can be described locally as convergent power series and ask the following: Which real analytic functions definable in R_{an,exp} have a holomorphic extension which is again definable in R_{an,exp}? Finding a holomorphic extension is of course not difficult simply by power series …
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Third-order charged particle beam optics
… from a certain ideal trajectory. One uses power series expansion of the phase-space coordinates to obtain the transfer matrices for a particular optical system. In this thesis we present a complete third-order theory of computing transfer matrices and apply it to magnetic elements in an …
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Energy Economic Modeling and Optimization
… The computational results are extended with power series expansion methods. The effects of varying input parameters on simulation of Indian population and economic growth are examined. A maximum likelihood method is developed for calibrating parameters upon which the results depend most …
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Modular equations and Ramanujan's cubic and quartic theories of theta functions
… in his work on basic bilateral hypergeometric series and mock theta functions. In Chapter 4, we derive new identities related to the Ramanujan-G\""{o}llnitz-Gordon continued fraction that are similar to those for the famous Rogers-Ramanujan continued fraction. We give a new proof of the …