Sergei Eremenko

Sergei Eremenko
National Aerospace University 'Kharkiv Aviation Institute'

Doctor of Engineering Professor
Developing Atomic Spacetime, Atomic Solitons and Atomic Machine Learning theories

About

105
Publications
21,926
Reads
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117
Citations
Introduction
Australian-Ukrainian scientist, former one of the youngest professors in the world at 31, PhD at 24, Doctor of Engineering at 29, Honorary Professor of National Aerospace University, author of 3 books, director of technology company Soliton Scientific in Australia. Research: - atomic string functions in spacetime and fields quantization; - atomic quantum gravity; - solitons in nature; - financial markets and trading systems; - non-Archimedean computers; - Machine Learning, AI.
Additional affiliations
February 2020 - October 2020
National Aerospace University 'Kharkiv Aviation Institute'
Position
  • Professor
Description
  • Awarded Academic Title of Honorary Professor
January 1997 - October 2020
Soliton Scientific
Position
  • Managing Director
Description
  • Director and Principal Researcher of Soliton Scientific, scientific technology and AIML company with 20 years of consulting for world blue chip companies like HP. Fujitsu, Fuji Xerox, ABC, ANZ Bank, Challenger, Maginet, HCF...
March 1992 - June 1997
State Technical University of Construction and Architecture
Position
  • Professor (Full)
Description
  • Academic Career from Assistant to Full Professor
Education
January 1992 - September 1993
National Academy of Sciences of Ukraine
Field of study
  • Mathematical Simulation
October 1986 - March 1988
KhAI - Aerospace university
Field of study
  • Mechanical Engineering
September 1980 - March 1986
KhAI - Aerospace university
Field of study
  • Applied Mathematics

Publications

Publications (105)
Preprint
Full-text available
Following Einstein's 1933 paper predicting a new "atomic theory", the novel theory of spacetime and fields quantization/atomization based on Atomic Solitons and Atomic and AString Functions is offered. Formulated Atomic Quantization Theorems allow representing polynomials, analytic functions, and solutions of field equations including General Relat...
Conference Paper
Full-text available
Atomic String (AString) Functions introduced in 2017 as integrals and composing branches of Atomic Functions can be applied in the theory of solitons (Atomic Solitons), General Relativity (to atomize spacetime field with Atomic String quanta), Field Theories (to describe field as a superposition of Atomic Solitons), and Unified Theories (to describ...
Article
Full-text available
A novel model of spacetime and fields atomization based on Atomic Series over finite Atomic AString Functions is offered. Formulated Atomization Theorems allow representing polynomials, analytic functions, and solutions of field equations including General Relativity via superposition of solitonic atoms which can be associated with flexible spaceti...
Conference Paper
Full-text available
Based on a generalization of a well-known atomic function this paper introduces an atomic string (AString) as a kink-like function by joining of which on a periodic lattice it is possible to build one model for a flat and curved spacetime and explain gravitational warping effects. Physically AString may represent a spacetime warp/distortion/metrian...
Presentation
Full-text available
Presentation to 5th International Conference on Multi-scale Computational Methods for Solids and Fluids. Based on a generalization of a well-known atomic function this paper introduces an atomic string (AString) as a kink-like function by joining of which on a periodic lattice it is possible to build one model for a flat and curved spacetime and ex...
Preprint
Full-text available
This paper proposes a novel approach to Quantum Gravity based on the unification framework of Generalized Thermodynamics which suggests cross-related terms and modified equations of General Relativity and Quantum Mechanics. To address the 'background problem', a metric tensor is introduced into Schrödinger equations via curved coordinates yielding...
Presentation
Full-text available
Soliton Group Wave Packet - Video. Solitonic breather wave packet slowly propagates on beautiful sunset at Lake Wakatipu, New Zealand. Breathers and envelope solitons include multiple waves travelling together and capable to travel long distances uninterrupted, like tsunamis in oceans, as described in 'Soliton Nature' book by Professor Sergei Ereme...
Presentation
Full-text available
Unstoppable like tsunami, soliton envelope wave packet, composed of two distinct breathers, is slowly cruising Lake Wakatipu, New Zealand. Lucky time for soliton scientists to witness this rare event described in 'Soliton Nature' book by professor Sergei Eremenko
Presentation
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Two solitonic effects in one unique video - Breather Wave Packet merges into amazing Soliton Grid, as described in 'Soliton Nature' book by professor Sergei Eremenko
Presentation
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Soliton Grid Waves - video. Soliton grid square waves look stunning on the tranquil surfaces of lakes, as described in 'Soliton Nature' book by professor Sergei Eremenko
Presentation
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Soliton Bore is an effect of creation of stand-alone Soliton Wave when gentle ocean wave enters a narrow creek, as described in “Soliton Nature” book by professor Sergei Eremenko
Presentation
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Soliton Duplex Breather - Video. Amazing breather slowly propagates on Lake Wakatipu, New Zealand. This is not a traditional stand-alone soliton wave, but a breather, or bion - two waves supporting each other, as described in 'Soliton Nature' book by professor Sergei Eremenko.
Presentation
Full-text available
Soliton Triplex Breather - Video. Amazing triple-wave packet slowly propagates along the Lake Wakatipu, New Zealand. This triple wave packet is related to quasi-solitonic phenomenon of breathers. Solitons may include one wave, two waves, or 'envelope packet', with famous 'Ninth Wave' in the middle, as described in 'Soliton Nature' book by Prof...
Presentation
Full-text available
Soliton Breather with moving edge - video. Soliton wave packet formation - breather - with clearly visible moving 'edge', demonstrates wave-particle nature of solitons. The edge looks like a solid structure - 'airplane wing' moving underwater. No wonder indestructible solitons, and tsunamis, can carry massive amounts of water over long distances,...
Code
Atomic Functions have been discovered in 1970s by Academician NAS of Ukraine Rvachev V.L. (author's teacher) and Rvachev V.A., and advanced by many followers, notably Kravchenko V.F. In 2017-2020, Sergei Yu. Eremenko, in papers "Atomic Strings and Fabric of Spacetime", "Atomic Solitons as a New Class of Solitons", "Atomic Machine Learning" and book...
Code
Provided Python source code for Atomic Function and Atomic String (AString) Function. Atomic Functions described in hundreds of papers have been discovered in 1970s by Academician NAS of Ukraine Rvachev V.L., professor Rvachev V.A. and advanced by many followers, notably Kravchenko V.F. In 2017-2020, Sergei Yu. Eremenko, in papers "Atomic Strings...
Code
Atomic Functions have been discovered in 1970s by Academician NAS of Ukraine Rvachev V.L. (author's teacher) and Rvachev V.A., and advanced by many followers, notably Kravchenko V.F. In 2017-2020, Sergei Yu. Eremenko, in papers "Atomic Strings and Fabric of Spacetime", "Atomic Solitons as a New Class of Solitons", "Atomic Machine Learning" and book...
Poster
Full-text available
Professor Sergei Eremenko, Australian-Ukrainian scientist, awarded the title of Honorary Professor of National Aerospace University ‘Kharkiv Aviation Institute’ SYDNEY, NEW SOUTH WALES, AUSTRALIA, February 27, 2020,– Sergei Eremenko, an Australian-Ukrainian scientist and author of three books, graduate of the National Aerospace University “Kharkiv...
Presentation
Full-text available
https://www.bignewsnetwork.com/news/266396316/professor-sergei-eremenko-becomes-honorary-professor-of-national-aerospace-university
Presentation
Full-text available
SOLITON NATURE BOOK BY PROFESSOR SERGEI EREMENKO: Welcome to the amazing world of captivating solitary waves, powerful tsunamis, freaky rogue waves, rotating tornados, and picturesque grid waves with ‘Soliton Hunter’, Professor Sergei Eremenko, natural explorer, discoverer, and author. The book ‘Soliton Nature’ is an easy-to-read, popularization,...
Presentation
Full-text available
By the resolution of Scientific Council of National Aerospace University "Kharkiv Aviation Institute" on 20-Feb-2020, the University graduate, Dr. Sc., Professor Sergei Eremenko (Sydney, Australia) has been awarded the title of Honorary Professor.
Chapter
Full-text available
Soliton Nature book on Amazon https://www.amazon.com/Sergei-Eremenko/e/B082F3MQ4L and Google books https://books.google.com.au/books/about/Soliton_Nature.html?id=d2zNDwAAQBAJ. Atomic solitons are new kind of mathematical topological lattice solitons, with the name relevant to Rvachevs’ Atomic Functions known since 1970s. Atomic String (AString) is...
Chapter
Full-text available
Soliton Nature book is available on Amazon https://www.amazon.com/Sergei-Eremenko/e/B082F3MQ4L and Google books https://books.google.com.au/books/about/Soliton_Nature.html?id=d2zNDwAAQBAJ. This emerging theory is based on novel ideas to describe some fundamental ‘building blocks’ of nature with atomic solitons – a new class of topological lattice...
Preprint
Full-text available
'Soliton Nature' book https://www.amazon.com/Sergei-Eremenko/e/B082F3MQ4, Video Channel: https://www.youtube.com/channel/UCexT5iyczZH2HY1-jSafFeQ Chapter 23 Abstract: This chapter describes some novel solitonic ideas in financial markets. The whole concept of ‘solitons in financial markets’ raises many questions – how something ‘solitary’ and ‘...
Preprint
Full-text available
We explore the hypothesis that soliton bore effect play an essential role in the functioning of a human heart and the propagation of blood pressure pulses in blood vessels. Blood pressure pulse, which we feel at our wrists every second, maybe a combination of a primary KdV soliton wave generated by a heart, and of a reflected wave, after the pulse...
Preprint
Full-text available
'Soliton Nature' book https://www.amazon.com/Sergei-Eremenko/e/B082F3MQ4L Abstract: Dedicated to a broad audience and scientists, this new-generation, easy-to-read, pictorial, interactive book uses beautiful photography, video channel, and computer scripts in R and Python to demonstrate existing and explore new solitons – the magnificent and versa...
Preprint
Full-text available
'Soliton Nature' book https://www.amazon.com/Sergei-Eremenko/e/B082F3MQ4L and Video Channel https://www.youtube.com/channel/UCexT5iyczZH2HY1-jSafFeQ. Abstract: Dedicated to a broad audience and scientists, this new-generation, easy-to-read, pictorial, interactive book uses beautiful photography, video channel, and computer scripts in R and Python...
Preprint
Full-text available
Atomic solitons are new kind of mathematical topological lattice solitons, with the name relevant to Rvachevs’ Atomic Functions known since 1970s. Atomic String (AString) is an infinitely smooth kink function shaped in such a way that translation of it composes straight-line sections. Two opposite AStrings compose ‘solitonic atom’ looking like a so...
Cover Page
Full-text available
Soliton Nature book Cover Page; https://www.amazon.com/gp/product/1951630777/ref=dbs_a_def_rwt_bibl_vppi_i0
Book
Soliton Nature book https://www.amazon.com/gp/product/1951630777/ref=dbs_a_def_rwt_bibl_vppi_i0 is dedicated to a broad audience and scientists. This new-generation, easy-to-read, pictorial, interactive book uses beautiful photography, video channel, and computer scripts in R and Python to demonstrate existing and explore new solitons – the magnifi...
Chapter
Full-text available
We propose the hypothesis and the theory that some geological formations might have been created by nonlinear solitonic processes. Some mountain ranges resemble the shapes of envelope wave packets, with the peaks between 7 and 10 being the tallest, as soliton theory prescribes (famous ‘the Ninth Wave’ effect). Also, the layers distribution in some...
Preprint
Full-text available
Soliton Nature book https://www.amazon.com/gp/product/1951630777/ref=dbs_a_def_rwt_bibl_vppi_i0 and Video Channel https://www.youtube.com/channel/UCexT5iyczZH2HY1-jSafFeQ. Solitons are big nonlinear waves and dislocations, and describing them requires quite complex mathematics, involving nonlinear differential equations. In fact, due to their com...
Presentation
Full-text available
Described novel ideas - spacetime and matter quantization based on Atomic String Functions; Atomic Solitons; Non-Archimedean Computers; Atomic Machine Learning - as well as applied research directions 'Solitons in Nature, Markets and Life'.
Presentation
Full-text available
Biographical details, achievements, main books and papers of Dr.Sc., Professor Sergei Eremenko (Sydney, Australia) for Honorary Professorship of National Aerospace University "Kharkiv Aviation Institute" (in Russian)
Presentation
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Presentation on Artificial Intelligence Web Channel for News Aggregation and Cognitive Elastic Search AI chatbots around health, insurance, deceases, policies, features. Suitable to create real AI tools for customers and staff of large insurance companies dealing with thousands unstructured documents.
Article
Full-text available
Atomic solitons are new kind of topological solitons resembling solitary particle-wave behaviour, with the name relevant to Rvachevs' atomic functions. Atomic String (AString) is an infinitely smooth kink function shaped in such a way that joining of it-like in Lego game-composes straight-line sections. Two opposite AStrings compose 'solitonic atom...
Article
Full-text available
Atomic solitons are new kind of topological solitons resembling solitary particle-wave behaviour, with the name relevant to Rvachevs' atomic functions. Atomic String (AString) is an infinitely smooth kink function shaped in such a way that joining of it-like in Lego game − composes straight-line sections. Two opposite AStrings compose 'solitonic at...
Data
Spacetime Quantization Model by combining 3D Atomic Functions - representing flat surface/constant field by superposition of solitary AF pulses
Data
Spacetime Plane as a Combination of AString functions describing spacetime quantum - metriant, as per paper https://www.researchgate.net/publication/320457739_Atomic_Strings_and_Fabric_of_Spacetime
Data
Solitonic Atoms represented by Atomic Functions, to model Spacetime composition from quanta. Matter is composed from superposition of solitonic atoms (Atomic Functions) made of AStrings - spacetime metriants/Higgs field ripples/spacetime distortions.
Article
Full-text available
Based on a generalization of Frenkel-Kontorova soliton model, a novel concept of financial markets solitons can be introduced in a few ways – as topological dislocations, dynamic equilibrium and transitional effects between highly correlated markets. Market soliton dislocations exist in the form of orders distribution irregularities along discrete...
Data
Uniform and variable fields can be represented s a superposition of quanta described by AStrings and atomic functions
Data
Paper https://www.researchgate.net/publication/320457739_Atomic_Strings_and_Fabric_of_Spacetime introduces the idea of spacetime quantum based on AString atomic functions, and this is 3d picture of Atomic Function up(r)
Article
Full-text available
AStrings as the generalizations of atomic functions can be used to model flat and curve spacetime composed from quanta, describe gravity and metric of cosmic strings and be the candidates for new atomic solitons and strings as fundamental blocks of spacetime fabric and matter expanding the theory of atomic functions to new possible applications in...
Data
Invited lecture on Machine Learning, R, Tableau, AWS and Atomic Machine Learning at University of Technology of Sydney.
Article
Full-text available
This paper explores how the theory of atomic functions (AF) evolving since 1970s and applicable in many branches of mathematics and physics can be expanded to data science domain of Machine Learning. Pulse-like AF can represent atomic kernel in Support Vector Machines, Density Estimation, Principal Component Analysis, locally weighted LOESS regress...
Article
Full-text available
It is shown how the theory of Atomic functions known since 1970th and their AString generalizations can be expanded to Machine Learning algorithms to represent atomic kernels in Support Vector Machines, Density Estimation, Principal Component Analysis, LOESS regression, and be the foundation of atomic regression, atomic activation function for Neur...
Data
Group Envelope Waves captured on this photo are very rare in skies, but quite frequent in oceans, with the famous The Ninth Wave in the middle known by sailors for centuries. Look at this beauty captured on Aug 11, 2017 over Sydney in unusually quiet and warm morning. Many beautiful images are included in the book 'Soliton Nature' https://www.amazo...
Data
Atomic Machine Learning for Medical Applications - wishing you good health! Look at these AML Support Vector Machines calculations which may be relevant to spread of diseases via clusters of molecules, or identify high activity zones in human brains. Machine Learning is still underused but may and will revolutionize medicine and healthcare.
Preprint
Full-text available
В неформальном стиле воспоминаний описывается научный и жизненный путь в Украине и Австралии одного из самых молодых докторов наук и профессоров Европы Еременко Сергея Юрьевича, и роль его учителей - академика В.Л.Рвачева и кафедры Прикладной Математики Национального Аэрокосмического Университета «Харьковского Авиационного Института". Описываются з...
Article
Full-text available
Based on a generalization of Frenkel-Kontorova soliton model, a novel concept of financial markets solitons can be introduced in a few ways – as topological dislocations, dynamic equilibrium and transitional effects between highly correlated markets. Market soliton dislocations exist in the form of orders distribution irregularities along discrete...
Data
Precise Target Clustering using Atomic Machine Learning to identify small clusters of 'good' and 'bad' data for military, medical or engineering applications.
Data
Precise Target Clustering using Atomic Machine Learning to identify small clusters of data for military, medical or engineering applications
Presentation
Full-text available
This presentation overviews multiple applications of Data Science and Machine Learning algorithms for Medicine and Healthcare industry. Atomic Machine Learning theory is also discussed.
Book
Dedicated to wide audience, this book uses beautiful photography and data science language R to explain existing and explore new solitons - magnificent phenomena of nature which exist almost everywhere around us in the form of waves, bores, vortices, dislocations and their groups. Due to remarkable stability, the solitons can travel like waves but...
Book
Based on a generalization of Frenkel-Kontorova soliton model, a novel concept of financial markets solitons can be introduced in a few ways – as topological dislocations, dynamic equilibrium and transitional effects between highly correlated markets. Market soliton dislocations exist in the form of orders distribution irregularities along discrete...
Poster
Full-text available
Support Vector Machine algorithm with Atomic Kernel allows identifying complex Decision Boundaries via iteration process. The image shows convergence of results during iteration process. The picture shows separation of complex ’positive’ and ’negative’ regions.
Poster
Full-text available
Atomic Function (discovered by V.L.Rvachev and V.A.Rvachev in 1967-1971) and Atomic String (AString) as an integral from Atomic Function) plotted together with derivatives. Properties and calculation details are on https://solitonscientific.github.io/AtomicString/AtomicString1.html. Both can be used in many algorithms of Machine Learning. Atomic Re...
Poster
Full-text available
Example of Identification of complex Decision Boundaries with Support Vector Machine classification algorithm based on Atomic Function Kernel (AFK). Unlike Gaussian and other kernels the AFK has finite support and has probabilistic bias inherited from the use of Atomic Function. The example shows applicability of Atomic Functions in many areas of M...
Poster
Full-text available
Atomic Function Kernel (AFK) in new type of Kernel for Support Vector Machine classification algorithm and other areas of Machine Learning. The benefits of AF is fast calculation of derivatives via AF itself, localization, and ability to represent polynomial functions via simple superposition of AFs.
Poster
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Atomic Regression ML algorithm with Linear Decision Boundary allows clear separation of ’positive’ and ’negative’ outcomes - for fast prediction of future results based on trained model, with importance in medicine, gaming, finance, trading, industrial production
Poster
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Atomic Regression allows to build Complex Decision Boundaries - contours separating ’Good’ and ’Bad’ measurements - to accept or reject new measurements and elimination of faulty devices.
Poster
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Atomic String (AString) function can be used as an alternative to logistics sigmoid. AString possesses some remarkable properties as superfast derivatives calculation and ability to present a straight line via combination of AStrings. It can be used in Neural Networks, Support Vector Machines and Clustering.
Article
Full-text available
Based on a generalization of a well-known atomic function this paper introduces an atomic string (AString) as a kink-like function by joining of which on a periodic lattice it is possible to build one model for a flat and curved spacetime and explain gravitational warping effects. Physically AString may represent a spacetime warp/distortion/metrian...
Presentation
Full-text available
Chart from R-script for representation of a pulse as a combination of Soliton Functions
Poster
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Presentation of Soliton Model in Blood Pressure Analysis
Presentation
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Presentation of idea, background and technology stack for Soliton Heart
Poster
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New Generation Heart Monitoring technology includes Signal Capturing, Cloud Data Analytics and Machine Learning Tools and Instant Doctor Communication tool
Preprint
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С помощью теории R-функций построены общие аналитические решения краевых задач теплопроводности, непосредственно не учитывающие уравнений состояния, но точно удовлетворяющие и дифференциальным уравнениям теплопроводности для потоков, и разнообразным граничных условиям для трёхмерных тел произвольной формы. Неопределенные функции выбираются из услов...
Presentation
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Overview of Finite Element System ASTER developed by Prof. Sergei Eremenko in 1990s - 2010s and described in the book 'Finite Element Methods in Solid Mechanics'
Preprint
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With the help of Rvachev R-functions, the general analytical solutions of boundary value problems of fluid mechanics are constructed. These solutions do not take into account immediately the nonlinear state equations, but exactly satisfy differential equations of continuity, equations of equilibrium and various boundary conditions. There generic so...
Article
In 1970s A.Veinik proposed, and later tried to ground experimentally, the hypothesis about existence the physical carriers of chronal field that defines the time run rate of a body. The purpose of this work is to construct thermodynamic theory of mechanical motion taking into account the chronal degree of freedom, perform numerical experiments and...
Article
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We give the first description of different variants of the structural finite-element method in which one can exactly satisfy the boundary conditions or equilibrium differential equations while taking account of the background analytic solutions of problems close to the original problem during the computation. This makes possible a significant reduc...
Article
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С помощью неархимедовой математики как обобщения и развития классической математики на основе построенных новых уравнений релятивистской механики нетрадиционно интерпретируются проблемы взаимосвязи массы, энергии, скорости и некоторые опытные факты.
Article
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Non-Archimedean Calculi developed by V.L. Rvachev and S.Yu. Eremenko are the series of Calculi where operation a+b is replaced with more complex operation, like (a+b)/(1+ab/c2). Combined Non-Archimedean Calculi first described in this paper allows to build linear models of nonlinear physical processes and offer new paradigm of mathematical simulati...
Article
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Based on the theory of R-functions, we have constructed general structural equilibrium solutions for stresses identically satisfying both the differential equilibrium equations and the contact conditions at the three-identically boundaries of inhomogeneities of arbitrary shape. These solutions can be used in developing the next generation of numeri...
Article
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На основе теории R-функций построены общие структурно-равновесные решения для напряжений, торжественно удовлетворяющие и дифференциальным уравнениям равновесия, и контактным условиям на трёхмерных границах неоднородностей произвольной формы. Эти решения могут быть использованы при разработке нового поколения численно-аналитических методов механики...
Article
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This paper is the continuation of Academician V.L. Rvachev's works where it is shown that the Classical Calculus applied for many centuries is only one of infinite sets of Isomorphic Calculi where basic operations of addition, subtraction, multiplication and division depend on a choice of mathematical expression for Archimedean axiom which can be r...
Article
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Приведен обзор различных вариантов методов конечных и граничных элементов - структурного метода конечных элементов, метода равновесных граничных элементов и их приложений.
Article
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Приведен обзор различных вариантов методов конечных и граничных элементов - структурного метода конечных элементов, метода равновесных граничных элементов и их приложений.
Article
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Статья является продолжением работ В.Л. Рвачева в которых показано, что применяемое на протяжении многих веков классическое Исчисление является одним из бесконечного множества изоморфных Исчислений, вид базовых операций сложения, вычитания, умножения и деления которых зависят от выбора математического выражения для аксиомы Архимеда Исчисления. В да...
Preprint
Full-text available
The theory and method of Combined Nonarchimedean Calculi (CNAC), as an alternative and generalization of classical mathematics, are described for the first time. In some cases, they allow constructing the linear mathematical models of nonlinear physical processes and operate with mathematical models in different Nonarchimedean Calculi, each possess...
Article
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An equilibrium boundary element method is proposed for solving boundary-value problems in the theory of elasticity, thermo-elasticity, the dynamical theory of elasticity, bar torsion calculations, and the bending of a plate. The idea is to use simultaneously the method of constructing bundles of functions which exactly satisfy the equilibrium equat...
Article
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The authors develop a method and present the results of calculating the thermoviscoplastic-strain state of a rotating disk of a specific gas turbine system. The thermoplasticity effect are described by the theory of low elastoplastic strains, thermocreep effects by the aging theory. Calculations are carried out using the method of finite elements w...
Article
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A procedure is developed for calculation of thermoviscoelastic stress-strained state of the rotating disc of the concrete gas-turbine unit. Calculation results are presented. A theory of small elastoplastic deformations, thermocreep - the ageing theory is developed to describe the effects of thermoplasticity. The calculation is performed by the fin...
Article
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Метод равновесных граничных элементов (МРГЭ) основан на идее построения пучка функций, точно удовлетворяющих дифференциальным уравнениям состояния, в то время как краевые условия поиближенно удовлетворяются путём дробления границы на граничных элементы. За счет этого можно исключить объёмные интегралы, и понизить размерность задачи на единицу.
Article
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Variational equations of the mixed type and a refined version of the Timoshenko shell theory are used to construct hybrid finite elements for shallow anisotropic shells of double curvature which can be used for the analysis of plates and shells over a wide thickness range. The elements are used to investigate the effect of layer alternation on the...
Article
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Employing mixed variation equations and the Timoshenko shell theory hybrid finite elements of anisotropic double-curved shells have been built for calculating thin and other plates and shells. Influence of the lay-up of carbon and fibreglass composite plates on the thermal warp was studied with the help of IBM PC computer. A critical value of curva...
Book
Full-text available
Structural Finite Element Method is used to explore micro-dynamics of fiber and laminate composite materials and constructions. The frequencies range, for which the resonance effects related to microstructure of materials, is defined. The new hybrid finite elements of double-curved anisotropic shells are constructed, and used to calculate impact dy...
Book
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С помощью структурного метода конечных элементов решён новый класс задач микродинамики композитных материалов о собственных колебаниях анизотропных слоистых и волокнистых сред на уровне микроструктуры. Для стекло-, угле-, органопластиков и других распространенных композитных материалов определены частоты собственных колебаний, при возбуждении котор...
Book
Review and Introduction of new variants of Finite Element Methods - structural FEM, hybrid FEM, Equilibrium FEM, R-functions FEM. --------------------------------------------------------------------------------------------------------- В монографии систематически описываются известные и новые варианты методов конечных и граничных элементов для ра...
Book
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Detailed review of multiple variants of finite element methods - FEM, Structural FEM, Equilibrium Boundary Element Methods, R-functions FEM. Russian Annotation: В монографии систематически описываются известные и новые варианты методов конечных и граничных элементов для расчетов стержневых систем, плоских и пространственных тел, тонких и нетонких...

Questions

Questions (13)
Question
GR geometric meaning of curved spacetime lacks explanation what physical media really curves. Can quantum vacuum of virtual particles be that media? Does curvature of spacetime means uneven distribution of that quantum vacuum?
Question
In classical QM, Wave Function is a scalar. Is there some (new) formulations of QM where WF is a vector?
Question
In Quantum Mechanics, probability of finding a particle at certain location, is understandable and positive being a square of Wave Function. What negative wave function means?

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Project
The idea seemingly originated to Kip Thorne and promoted in popular TV programs by Jim Al-Khalili that Gravity is the manifestation of the difference in time run rates between bodies is deeply related to theory of chronal fields/matter suggested in 1960-1990th by 'forgotten genius' Albert Veinik, Soviet/Belorussian scientist, author of dosens of monographs on thermodynamics. This theory which may get some understanding nowadays leads to Chronal Theory of Motion which I tried to publish in 1990th - ability of bodies to move under the influence of chronal forces - also related to gravity.
Project
Develop theoretical foundation and new generation nonlinear computers based on Combined Non-Archimedean Calculi developed by school of Academician V.L. Rvachev and S. Yu. Eremenko. In Non-Archimedean mathematics, it is possible to replace operation a+b by more advanced nonlinear operation and not only exclude the infinity but also build linear models of nonlinear physical theories like relativity, heat conductivity and others. New computers can be built with new kind of addition, multiplication and other atomic operations.
Archived project
Research peculiarities of natural vibrations and dynamics of rocket composite materials and constructions