Thesis--Göttingen. / Cover title.

Thesis--Göttingen. / Cover title.

Inaug.-diss.--Universität Leipzig. / Lebenslauf. Includes bibliographical references.

Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1908. / Cover title. Vita.

Nonlocal phenomena are ubiquitous in nature. The nonlocal models investigated in this thesis use integration in replace of differentiation and provide alternatives to the classical partial differential equations. The nonlocal interaction kernels in the models are assumed to be as general as possible and usually involve finite range of nonlocal interactions. Such settings on one hand allow us to connect nonlocal models with the existing classical models through various asymptotic limits of the modeling parameter, and on the other hand enjoy practical significance especially for multiscale modeling and simulations. To make connections with classical models at the discrete level, the central theme of the numerical analysis for nonlocal models in this thesis concerns with numerical schemes that are robust under the changes of modeling parameters, with mathematical analysis provided as theoretical foundations. Together with extensive discussions of linear nonlocal diffusion and nonlocal mechanics models, we also touch upon other topics such as high order nonlocal models, nonlinear nonlocal fracture models and coupling of models characterized by different scales.

No description available.

Thesis--University of Wisconsin--Madison. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 638-661).

Thèse : Mécanique : Faculté des sciences de Paris : 1854. Thèse : Astronomie : Faculté des sciences de Paris : 1854. / Titre provenant de l'écran-titre. Notes bibliogr.

Title: Electronic Textbook in Mathematical Methods of Physics Author: Bc. Petr Kolář Department: Department of Physics Education FMP CU Supervisor: RNDr. Vojtěch Žák, Ph.D., Department of Physics Education FMP CU Abstract: The objective of this work is to continue in Electronic Textbook in Introduction of Mathematical Methods of Physics and to create an other studing text not only for the first grade students (future physics teachers) at FMP CU but also for other students of physical and technical domains at universities which should help them with an introduction into mathematic necessary in physics. The main matter of this work is based on preparations and texts of dr. A Hladík, prof. J. Podolský and dr. V. Žák for lectures and exercises of subject Introduction of Mathematical Methods of Physics and Mathematical Methods in Physics I. The author's experience are also reflected. Equally, a small recherche of an existence and an availability of other sources pursuing given matters has been done. Some of these sources are recommended in this work. The created text should help readers with elementary matter of antiderivatives and Riemann integrals, double and triple integrals and integrals of the first kind with a special consideration to their applications in physics. A contribution of this and previous work for...

Acompanha: Caderno de tarefas: proposta de tarefas para um estudo inicial de derivadas / CNPq / Esta dissertação apresenta uma proposta de tarefas para o estudo inicial de derivadas no ensino de cálculo diferencial e integral (CDI) no Ensino Superior, em turmas regulares de um curso de Engenharia da Universidade Tecnológica Federal do Paraná (UTFPR) do campus Londrina. Elencou-se como objetivo geral da pesquisa a proposição de tarefas que oportunizem aos estudantes a exploração de ideias necessárias à compreensão do conceito de derivadas, em especial tarefas a serem aplicadas em momentos que iniciam o estudo de derivadas, em sua abordagem mais formal. Por se tratar de um mestrado em âmbito profissional, intencionou-se a construção de caderno de tarefas (o produto educacional), na qual após a aplicação de dois ciclos de pesquisa, elencaram-se três tarefas para compor o produto final da pesquisa, a qual por meio das análises notou-se a necessidade entre os ciclos a adaptação/reformulação das tarefas, e em especial na tarefa 3 a intencionalidade de uma nova reformulação e aplicação em um novo ciclo de pesquisa. / This dissertation presents a proposal to the initial study of derivatives in the teaching of differential and integral calculus (CDI) in higher education, in regular classes of an engineering degree from the Federal University of technology-Paraná (UTFPR) campus. Presented as general purpose of research the proposition of tasks that create opportunities for students to exploration of ideas necessary for the understanding of the concept of derived in particular tasks to be applied at times to begin the study of derived, in your more formal approach. As a master's degree in professional, intended the construction of notebook (the educational product), in which after two cycles of research, bleeding cool is-if three tasks to compose the final research product, which by means of analyses the need was noted between cycles the adaptation/recasting of tasks, and in particular in task 3 the intentionality of a new makeover and application in a new cycle of research.