This thesis examines the transient performance of packed bed heat regenerators when very large temperature differences are involved. The effects of gas temperature on the key gas physical properties of velocity, density and heat capacity were studied via simulation. Three models were developed and compared. The first model (HRKDV) considers heat balances for both solid and gas phases, the second (HRVDV) considers mass balances in addition to the heat balances set up in the first model and the third one (HRASO) considers that the only significant rate of accumulation term is that of the energy of the solid phase. The governing partial differential equations were solved by the method of lines with the spatial discretization accomplished by the method of orthogonal collocation. The findings of this work reveal that whereas the effects of large temperature changes on the gas velocity and density are completely negligible, the effects of temperature on the gas heat capacity must be considered "continuously" when large temperature swings occur. Considering the heat capacity as a constant, even at an average value, leads to significant errors in temperature profiles. / Graduation date: 1992

- / -

Ανασκόπηση του κανόνα ολοκλήρωσης του gauss. Αναπαραστάσεις και εκτιμήσεις του υπολοίπου του. Τέλος περί της σύγκλισης του κανόνα ολοκλήρωσης. / A survey on gaussian quqdrature rules. Representation and estimates of its remainder. And about its convergence.

The generalized moment of order k of a mass distribution sigma for a natural number k is given by integral of lambda to the power k with respect to mass distribution sigma and variable lambda. In extended moment problem, given a sequence of real numbers, it is required to find a mass distribution whose generalized moment of order k is k&#039 / th term of the sequence. The conditions of existence and uniqueness of the solution obtained by Hamburger are studied in this thesis by the use of orthogonal polynomials determined by a measure on real line. A chapter on the study of asymptotic behaviour of orthogonal functions on compact subsets of complex numbers is also included.

Thesis (Ph.D.) - University of Glasgow, 2008. / Ph.D. thesis submitted to the Department of Mathematics, Faculty of Information and Mathematical Sciences, University of Glasgow, 2008. Includes bibliographical references. Print version also available.

Thesis (M.Phil.)--University of Hong Kong, 2003. / Includes bibliographical references (leaves 80) Also available in print.

Made available in DSpace on 2014-06-11T19:26:56Z (GMT). No. of bitstreams: 0 Previous issue date: 2005-02-25Bitstream added on 2014-06-13T18:07:00Z : No. of bitstreams: 1 martins_as_me_sjrp.pdf: 695393 bytes, checksum: abbd8a0e71a38c139382646baf4d9850 (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / O principal objetivo deste trabalho é estudar um problema de eletrostática geral que envolve ambos, um campo externo e restrições sobre cargas livres. Foram fornecidas condições necessárias e suficientes para o mínimo da energia em termos de soluções polinomiais de uma equação diferencial de Lamé modificada. Além disso, foram dadas novas demonstrações, mais simples, de resultados clássicos de Stieltjes e Szego. Finalmente, foi obtida uma interpretação eletrostática para os zeros dos polinômios comumente chamados de Hermite-Laurent. / A general electrostatic problem which involves both an external field and restrictions on the free charges is studied. Necessary and sufficient conditions for the minimum of the energy are furnished in terms of polynomial solutions of a modified Lamé differential equation. New simplified proofs of classical results of Sitieltjes and Szego are given. An electrostatic interpretation of the so-called Hermite-Laurent polynomials is obtained.

Made available in DSpace on 2014-06-11T19:27:08Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-02-16Bitstream added on 2014-06-13T19:34:53Z : No. of bitstreams: 1 rafaeli_fr_me_sjrp.pdf: 475737 bytes, checksum: dae8459d8e40a6b31ed9a1e30e8ab905 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Neste trabalho estudamos o Teorema de Sturm para zeros de soluções de equações diferenciais lineares de segunda ordem e suas extensões. Estes resultados clássicos são aplicados para análise de monotonicidade e convexidade de zeros de polinômios ortogonais clássicos. / We study Sturm's theorem on zeros of solution of linear second-order differential equations as well as its extension. These classical results are applied to analyze monotonicity and convexity of zeros of classical orthogonal polynomials.

Orientador: Dimitar Kolev Dimitrov / Banca: Valdir Antonio Menegatto / Banca: Alagocone Sri Ranga / Resumo: Neste trabalho estudamos o Teorema de Sturm para zeros de soluções de equações diferenciais lineares de segunda ordem e suas extensões. Estes resultados clássicos são aplicados para análise de monotonicidade e convexidade de zeros de polinômios ortogonais clássicos. / Abstract: We study Sturm's theorem on zeros of solution of linear second-order differential equations as well as its extension. These classical results are applied to analyze monotonicity and convexity of zeros of classical orthogonal polynomials. / Mestre

Orientador: Cleonice Fátima Bracciali / Banca: Alagacone Sri Ranga / Banca: Vanessa Avansini Botta Pirani / Resumo: Nesta dissertação estudamos sequências de polinômios ortogonais que surgem como auto-funções polinomiais do problema de Sturm-Liouville, sob a condição de que, nem todos os graus das auto-funções polinomiais estejam presentes na sequência de graus dos polinômios que formam o conjunto ortogonal completo. Estas sequências são chamadas de sequências de polinômios ortogonais excepcionais. Emparticular,realizamosumestudodospolinômiosortogonaisexcepcionais X1-Jacobi e X1-Laguerre / Abstract: In this dissertation we study sequences of orthogonal polynomials that arise as polynomial eigenfunctions of the Sturm-Liouville problem, with the condition that not all degrees of polynomial eigenfunctions are present in the sequence of degrees of the polynomials that form a complete orthogonal set. These sequences are called exceptional orthogonal polynomial sequences. In particular, we study the exceptional orthogonal polynomials X1-Jacobi and X1-Laguerre / Mestre