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Библиографический список – Reference

ANALYSIS OF TSUNAMI WAVES, BASED ON THE ASYMPTOTIC FORMULAE

 

A.A. Bykov

Siberian Federal University, Krasnoyarsk City, The Russian Federation

 

In the given work the tsunami mitigation problem is considered from the point of a large risk for the coastal communities, posed by tsunami. The method of tsunami waves modeling, based on the asymptotic formulae is offered. The complexity of long wave modeling, based on the shallow-water wave equations, is discussed. The considered model provides the algorithm of tsunami modeling that could make a contribution into the tsunami hazard mitigation problem.

Keywords: tsunami, shallow-water wave equations, asymptotic formulae, mathematical modeling

Аннотация – Abstract

В работе рассматривается проблема … Предлагается модель … Предложенная модель позволяет … Рассматривается вопрос о … Делается вывод о …

In | the / the given | work / paper / article | the problem of … is analyzed / considered / touched upon / observed / viewed / concerned (from the point of … / in the context of...). The model / approach / algorithm / method / formula / description / notional description / definition / system of definitions / … is offered / presented / given / shown / exhibited / described / defined (by the example of …). The viewed / given / observed / presented / considered / mentioned | model / system / description … | allows / lets / enables / supports / provides | …-ing / …-tion of | … The question / issue / item / point (of view) / description | of... is discussed / considered /... | The conclusion about / of / on / concerning | …. | is made / is presented.

Ключевые слова / Keywords

Компьютерная лингвистика, электронное обучение, / Science: Computer Science | Branch of science: Artificial Intelligence | Problem: Biological Turing Test Passing | Methods: Neural Nets / Data Mining | Notions: Multiplication

В работе рассматривается проблема … In | the / the given | work / paper / article | the problem of … is analyzed / considered / touched upon / observed / viewed / concerned (from the point of … / in the context of...).

На сегодняшний день широко распространены и разрабатываются разнообразные системы … / Today / Nowadays / At present / At the present moment / Now / In recent years / Last decades / Last century | the systems / examples / phenomenon / phenomena / … take place / are widely spread / are well-known / are very famous / are very popular | concerning / while / because of / …

Проблема … является актуальной в связи с … | The problem / task | of... is very topical | important / urgent | due to / thanks to / because of / in respect with |...

Проблема … решается на стыке таких наук, как … / The problem of … is solved in the field of / in the intersection of / between | … science / … theory / … model / … approach.

Уровень исследований – Background / State of the art

Проблема … давно и широко исследуется различными авторами, в частности … В работах … рассматривается вопрос о … В работах …, … и … подчеркивается важность решения вопроса о … / The problem of … is investigated / analyzed / being solved | by different such … as| authors / scientists / investigators / experts in the sphere of … | for example / for instance / in particular / particularly / like | Professor Brown / Doctor Smith / … | in his / her | work / thesis / dissertation / monograph / book / publication / article / research / report / project …

Однако вопрос … требует дополнительных исследований в рамках … Although / however / but / at the same time / … | the question / issue / problem / task / challenge of …-ing … | has to / shall / should / can / could / must / ought to | be considered deeper / further / for the point of … as well / …

Цель данной работы состоит в … – The purpose of the given work is that SENTENCE / is to VERB …-ing / …-tion of … / …

Задачи данной работы заключаются в: – The tasks of the work are the following / mentioned below / considered below:

Основная идея работы состоит в построении модели … на основе … и в применении этой модели к … – The main idea of the work / article / paper | is / is reduced to / is based on / implies | the creation / development / elaboration / perfecting / improving / applying / using / employing / …

 

In the given work the tsunami hazard mitigation problem is considered. Nowadays the systems of predicting tsunami are widely spread. This problem is very topical because tsunami poses a large risk to the coastal communities all over the world. The problem of predicting tsunami is solved in the intersection of geodynamics, hydrodynamics and mathematics. Mathematical modeling of the long tsunami waves is provided by asymptotic formulae, based on the linearized shallow-water equations with the localized source and the MOST (Method Of Splitting Tsunami) program system. The analytical solution of the shallow-water wave equations is represented by asymptotic formulae. Declaring the target of studying the theory of solving linearized shallow-water equations with localized source presupposes evolving numerical and finite difference methods for solving the problem of obtaining accurate and topical results.

The problem of predicting tsunami is investigated by different experts in the sphere of mathematics, geodynamics and hydrodynamics, in particular by K.V. Simonov, S.Yu. Dobrokhotov, V. Titov and others. Mathematical explanations of solving the linearized shallow-water equations with localized source with solution in the form of asymptotic formulae are presented in the publications of S.Yu. Dobrokhotov. The description of the MOST system is presented in the works of V. Titov. However the issue of the rapid modeling by the MOST program system must be considered in the field of mathematical and computational optimizations.

The tasks of the work are the following:

1) the mathematical proof of the linearized shallow-water wave equations theory;

2) the development of the extended algorithms for modeling tsunami waves;

3) mathematical and computational optimizations of the MOST program system;

4) experimental researches of the real modeling objects and their comparison with the modeled objects;

5) the analysis of the real modeling object and the modeled objects using wavelet-transformation and multi-parametrical regression analysis.

 

The main idea of this research is reduced to a mathematical modeling with the using of asymptotic formulae and the MOST program system.

Новизна работы состоит в использовании модели … основанной на … в применении к созданию … в рамках … с использованием классификации слов и предложений естественного языка, предложенной в работе [1]. – The novelty of the work | is / is reduced to / is based on / implies / presupposes | using / applying / employing | the model / system / approach / algorithm / software / description / numerical relation determination | based on / concerning / using / with the help of / be means of / by | … | in respect with / concerning / regarding / in correlation with |... |

Block 0 – Background

 

Выводы. В работе выполнен анализ … Предложена модель … Рассматриваются возможности … на основе модели … Подчеркивается важность продолжения исследований по … Делается вывод о необходимость учета … в процессе …

Conclusion. In the work / article / paper … the analyses of … is carried out / executed / made / preformed / fulfilled. The model of … is offered / considered / concerned / shown / presented / exhibited / given …. The model of | … | is offered / … The possibilities / capacities / potential / probability / prospects of … | based on / … The importance / the topicality / the urgency of … The conclusion of … is made.

Библиографический список – Reference

1. Адоньев, Р.В. Концепция построения аналитических систем на базе интеграции OLAP и GIS технологий / Р.В. Адоньев, М.С. Заботнев, Д.В. Ионов // Теоретические и прикладные вопросы современных информационных технологий (ТиПВСИТ’2003). Материалы четвертой конференции. – Улан-Уде, 2003. – С.254-257.

2. Альперович, М. Введение в OLAP и многомерные базы данных / М. Альперович // PC Week. – 1999. - №3. – С. 84-91.

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4. Барсегян, А.А. Методы и модели анализа данных: OLAP и Data Mining / А.А. Барсегян, М.С. Куприянов, В.В. Степаненко, И.И. Холод. – СПб.: БХВ-Петербург, 2004. – 336 с.

5. Берлянт, А.М. Картография: Учебник для студентов вузов, обучающихся по географическим и экологическим специальностям / А.М. Берлянт – М.: Аспект Пресс, 2001. – 336 с.

6. Бесчастнов М. В. Промышленные взрывы. Оценка и предупреждение. – М.: Химия, 1991. – 432 с.

7. Вайнштейн, Ю.В. Применение OLAP-моделей в задачах анализа и планирования медицинской помощи / Ю.В. Вайнштейн // Труды всероссийской конференции «Информационно-аналитические системы и технологии в здравоохранении и ОМС». – Красноярск: КМИАЦ, 2004. – С. 273-283.

8. Вайнштейн, Ю.В. Разработка методов построения комплексов многомерных моделей для задач здравоохранения на базе OLAP-технологии: автореф. дисс. канд. технических наук: 05.13.01 / Ю.В. Вайнштейн. – Красноярск: Изд-во ИВМ СО РАН, 2004. – 24 с.

9. Волкова В. Н., Денисов А. А. Основы теории систем и системного анализа: Учебник для студентов вузов / В.Н. Волкова, А.А. Денисов. – СПб.: СПбГТУ, 2-е изд. – 1999. – 512 с.

10. Гмурман, В.Е. Теория вероятностей и математическая статистика / В.Е. Гмурман. – М.: Высшая школа, 1999. – 367 с.

 

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