Mathematical topics

Research purposes: We consider some inverse source problems for parabolic equations, focus on three topics: First, we give stability estimates. Second, we propose regularization methods to solve these problems. Third, we set up algorithms and give numerical examples to illustrate the performance of the proposed regularization methods in this thesis.

26p prisonbreak123 21-05-2021 23 4   Download

The dissertation used the following research methods: Theoretical research method, methods of survey questionnaire and observation, practical research method, expert consultaion method and experimental method in pedagogy.

32p angicungduoc10 09-03-2021 13 4   Download

The negative-binomial sum is an extension of a geometric sum. It has been arisen from the necessity to resolve practical problems in telecommunications, network analysis, stochastic finance and insurance mathematics, etc. Up to the present, the topics related to negative-binomial sums like asymptotic distributions and rates of convergence have been investigated by many mathematicians. However, in a lot of various situations, the results concerned the rates of convergence for negative-binomial sums are still restrictive.

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Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).

35p noel_noel 17-01-2013 43 6   Download

We show that any analytically integrable Hamiltonian system near an equilibrium point admits a convergent Birkhoff normalization. The proof is based on a new, geometric approach to the topic. 1. Introduction Among the fundamental problems concerning analytic (real or complex) Hamiltonian systems near an equilibrium point, one may mention the following two: 1) Convergent Birkhoff. In this paper, by “convergent Birkhoff” we mean a normalization, i.e.

17p noel_noel 17-01-2013 41 4   Download

The PageRank algorithm, used in the Google search engine, greatly improves the results of Web search by applying probabilistic model on the link structure of Webs to evaluate the “importance” of Webs. In PageRank probabilistic model, the links and webs are uniform, so the rank score of webs are quite independent from their content. In practice, the researchers often hope that the web results can be ranked by their proposed topics. Moreover, when computer’s techniques solve given problems ineffectively, it’s necessary to do better research in theoretical problems. ...

12p tuanlocmuido 19-12-2012 39 3   Download

The long-awaited sequel to the "Concepts and Practice of Mathematical Finance" has now arrived. Taking up where the first volume left off, a range of topics is covered in depth. Extensive sections include portfolio credit derivatives, quasi-Monte Carlo, the calibration and implementation of the LIBOR market model, the acceleration of binomial trees, the Fourier transform in option pricing and much more. Throughout Mark Joshi brings his unique blend of theory, lucidity, practicality and experience to bear on issues relevant to the working quantitative analyst....

0p baobinh1311 25-09-2012 87 20   Download

There has been significant interest in the topic of finding permutations containing many copies of the same pattern. In this paper, we will be concerned with the other extremity, permutations containing as many different patterns as possible. At the Conference on Permutation Patterns, Otago, New Zealand, 2003, Herb Wilf asked how many distinct patterns could be contained in a permutation of length n. Based on empirical evidence, it seemed this number may approach the theoretical upper bound of 2n.

4p thulanh5 12-09-2011 43 5   Download

Mục đích của đề tài này là trình bày các ứng dụng của công thức Viète trong chương trình Toán bậc Phổ thông. ABSTRACT The aim of this topic is to present the applications of Viète’s formula in high – school mathematics.

5p lananh27109 10-09-2011 59 5   Download

Geometry is a branch of mathematics related research space. Using experience, or perhaps by intuition, it is recognized by the space fundamental characteristics, the geometric axioms called the system. Axiomatic system including the original concept is not defined and the axioms (also known as the proposition) does not prove a relationship defined between the concepts.

12p phalinh14 07-08-2011 47 3   Download

Mục tiêu của đề tài là trình bày các định lý tách tập lồi. Các định lý này có nhiều ứng dụng trong quy hoạch toán học. ABSTRACT The aim of this topic is to introduce separation theorem of convex sets. This theorem has many applications in mathematical programming. 1. Mở đầu. Khái niệm tập lồi trong không gian vectơ là sự khái quát khái niệm hình lồi trong hình học sơ cấp. Nó giữ vai trò quan trọng trong nhiều vấn đề giải tích hàm. Đặc biệt, lý thuyết các hàm và tập lồi ( gọi là giải tích lồi)...

4p meoden89nd 21-01-2011 321 59   Download

About the Authors Titu Andreescu received his BA, MS, and PhD from the West University of Timisoara, Romania. The topic of his doctoral dissertation was “Research on Diophantine Analysis and Applications.” Professor Andreescu currently teaches at the University of Texas at Dallas.

0p 4everloveyou 29-06-2010 152 13   Download

A Mathematical Introduction with OpenGL This book is an introduction to 3-D computer graphics with particular emphasis on fundamentals and the mathematics underlying computer graphics. It includes descriptions of how to use the cross-platform OpenGL programming environment. It also includes source code for a ray tracing software package. (Accompanying software is available freely from the book’s Web site.

30p lyacau 29-12-2009 200 49   Download