Sergey Repin's Books

A Posteriori Estimates for Partial Differential Equations

By: Sergey I. Repin

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A Posteriori Estimates for Partial Differential Equations

By: Sergey I. Repin

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.

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329

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110203049

ISBN 13

9783110203042

Reliable Methods for Computer Simulation

Error Control and Posteriori Estimates

By: Pekka Neittaanmäki,Sergey R. Repin

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Reliable Methods for Computer Simulation

Error Control and Posteriori Estimates

By: Pekka Neittaanmäki,Sergey R. Repin

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.· computable bounds of approximation errors· checking algorithms· iteration processes· finite element methods· elliptic type problems· nonlinear variational problems· variational inequalities

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Page Count

317

Publisher

Elsevier

Published Date

ISBN 10

0080540503

ISBN 13

9780080540504

High-Energy Ecologically Safe HF/DF Lasers

Physics of Self-Initiated Volume Discharge-Based HF/DF Lasers

By: Victor V. Apollonov,Sergey Yu. Kazantsev

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High-Energy Ecologically Safe HF/DF Lasers

Physics of Self-Initiated Volume Discharge-Based HF/DF Lasers

By: Victor V. Apollonov,Sergey Yu. Kazantsev

This book explores new principles of Self-Initiating Volume Discharge for creating high-energy non-chain HF(DF) lasers, as well as the creation of highly efficient lasers with output energy and radiation power in the spectral region of 2.6–5 μm. Today, sources of high-power lasing in this spectral region are in demand in various fields of science and technology including remote sensing of the atmosphere, medicine, biological imaging, precision machining and other special applications. These applications require efficient laser sources with high pulse energy, pulsed and average power, which makes the development of physical fundamentals of high-power laser creation and laser complexes of crucial importance. High-Energy Ecologically Safe HF/DF Lasers: Physics of Self-Initiated Volume Discharge-Based HF/DF Lasers examines the conditions of formation of SSVD, gas composition and the mode of energy input into the gas on the efficiency and radiation energy of non-chain HF(DF) lasers. Key Features: Shares research results on SSVD in mixtures of non-chain HF(DF) lasers Studies the stability and dynamics of the development of SSVD Discusses the effect of the gas composition and geometry of the discharge gap (DG) on its characteristics Proposes recommendations for gas composition and for the method of obtaining SSVD in non-chain HF(DF) lasers Develops simple and reliable wide-aperture non-chain HF(DF) lasers and investigates their characteristics Investigates the possibilities of expanding the lasing spectrum of non-chain HF(DF) lasers

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Page Count

229

Publisher

CRC Press

Published Date

ISBN 10

1000066215

ISBN 13

9781000066210

Accuracy Verification Methods

Theory and Algorithms

By: Olli Mali,Pekka Neittaanmäki,Sergey Repin

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Accuracy Verification Methods

Theory and Algorithms

By: Olli Mali,Pekka Neittaanmäki,Sergey Repin

The importance of accuracy verification methods was understood at the very beginning of the development of numerical analysis. Recent decades have seen a rapid growth of results related to adaptive numerical methods and a posteriori estimates. However, in this important area there often exists a noticeable gap between mathematicians creating the theory and researchers developing applied algorithms that could be used in engineering and scientific computations for guaranteed and efficient error control. The goals of the book are to (1) give a transparent explanation of the underlying mathematical theory in a style accessible not only to advanced numerical analysts but also to engineers and students; (2) present detailed step-by-step algorithms that follow from a theory; (3) discuss their advantages and drawbacks, areas of applicability, give recommendations and examples.

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Page Count

366

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400775814

ISBN 13

9789400775817

Advances in Biosensors: Reviews, Vol. 2

By: Sergey Yurish

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Advances in Biosensors: Reviews, Vol. 2

By: Sergey Yurish

The global biosensors industry is approaching towards multi-billion market. The modern biosensors market growth is driven by the continuous technological advancements in the biosensors ecosystem, increase in the use of biosensors for nonmedical applications, lucrative growth in point-of-care diagnostics, and rise in the demand for glucose monitoring systems. Increasing applications in diagnosis of various diseases and development of nanoparticle based electrochemical biosensors significantly stimulates growth of biosensors industry. The second volume of 'Advances in Biosensors: Reviews', Book Series contains six chapters written by 24 authors from 7 countries: Brazil, China, Denmark, Japan, South Africa, Sweden and Ukraine.

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Page Count

250

Publisher

Lulu.com

Published Date

ISBN 10

8409053942

ISBN 13

9788409053940

Trepanation of the Skull

By: Sergey Gandlevsky

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Trepanation of the Skull

By: Sergey Gandlevsky

Sergey Gandlevsky is widely recognized as one of the leading living Russian poets and prose writers. His autobiographical novella Trepanation of the Skull is a portrait of the artist as a young late-Soviet man. At the center of the narrative are Gandlevsky's brain tumor, surgery, and recovery in the early 1990s. The story radiates out, relaying the poet's personal history through 1994, including his unique perspective on the 1991 coup by Communist hardliners resisted by Boris Yeltsin. Gandlevsky tells wonderfully strange but true episodes from the bohemian life he and his literary companions led. He also frankly describes his epic alcoholism and his ambivalent adjustment to marriage and fatherhood. Aside from its documentary interest, the book's appeal derives from its self-critical and shockingly honest narrator, who expresses himself in the densely stylized version of Moscow slang that was characteristic of the nonconformist intelligentsia of the 1970s and 1980s. Gandlevsky is a true artist of language who incorporates into his style the cadences of Pushkin and Tiutchev, the folk wisdom of proverbs, and slang in all its varieties. Susanne Fusso's excellent translation marks the first volume in English of Sergey Gandlevsky's prose, and it will interest scholars, students, and general readers of Russian literature and culture of the late Soviet and post-Soviet periods.

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Page Count

163

Publisher

Northern Illinois University Press

Published Date

ISBN 10

1501758055

ISBN 13

9781501758058

Leningrad 1941 - 42

Morality in a City under Siege

By: Sergey Yarov

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Leningrad 1941 - 42

Morality in a City under Siege

By: Sergey Yarov

This book recounts one of the greatest tragedies of the twentieth century: the siege of Leningrad. It is based on the searing testimony of eyewitnesses, some of whom managed to survive, while others were to die in streets devastated by bombing, in icy houses, or the endless bread queues. All of them, nevertheless, wanted to pass on to us the story of the torments they endured, their stoicism, compassion and humanity, and of how people reached out to each other in the nightmare of the siege. Though the siege continues to loom large in collective memory, an overemphasis on the heroic endurance of the victims has tended to distort our understanding of events. In this book, which focuses on the "Time of Death", the harsh winter of 1941-42, Sergey Yarov adopts a new approach, demonstrating that if we are to truly appreciate the nature of this suffering, we must face the full realities of people's actions and behaviour. Many of the documents published here – letters, diaries, memoirs and interviews not previously available to researchers or retrieved from family archives – show unexpected aspects of what it was like to live in the besieged city. Leningrad changed, and so did the morals, customs and habits of Leningraders. People wanted at all costs to survive. Their notes about the siege reflect a drama which cost a million people their lives. There is no spurious cheeriness and optimism in them, and much that we might like to pass over. But we must not. We have a duty to know the whole, bitter truth about the siege, the price that had to be paid in order to stay human in a time of brutal inhumanity.

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Page Count

460

Publisher

John Wiley & Sons

Published Date

ISBN 10

1509508023

ISBN 13

9781509508020

Want be a scientist? Read it!

By: Sergey Zaitsev

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Want be a scientist? Read it!

By: Sergey Zaitsev

To survive in a scientific environment, it is necessary to constantly trick. But how it is concrete? This question is answered by the author using his life experience and the experience of comrades, graduates of MEPhI and military engineering academy. Many “pitfalls” that are not visible to a young man planning to become a researcher have been unearthed. Familiarity with these facts can significantly influence a young man’s choice of his way. If anything, his choice will be more conscious.

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Page Count

201

Publisher

Litres

Published Date

ISBN 10

5042452249

ISBN 13

9785042452246

Combined Vibrator-Slot Structures: Theory and Applications

Theoretical Aspects and Applications

By: Mikhail V. Nesterenko,Victor A. Katrich,Yuriy M. Penkin,Sergey L. Berdnik,Oleksandr M. Dumin

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Combined Vibrator-Slot Structures: Theory and Applications

Theoretical Aspects and Applications

By: Mikhail V. Nesterenko,Victor A. Katrich,Yuriy M. Penkin,Sergey L. Berdnik,Oleksandr M. Dumin

The book presents solutions to a complex of internal and external problems of electromagnetics associated with the development of theory, construction of mathematical models and the development of rigorous methods for calculating the electrodynamic characteristics of combined vibrator-slot structures. The solutions of problems for determining the characteristics of impedance vibrator and slot radiators with arbitrary geometric and electrophysical parameters presented in the monograph were obtained within the framework of the unified methodological approach to construct asymptotic solutions of integral equations on currents and their systems. This approach made it possible to study a number of new combined vibrator-slot structures. The research results reveal the possibilities of using such structures as basic elements in the creation of modern antenna-waveguide devices operating in the ranges from meter to millimeter wavelengths, with new technical characteristics and functional purpose. The book is intended for senior and postgraduate students and researchers working in the fields of radiophysics, radio engineering and antenna-feeder design. The book covers the following topics: • excitation of electromagnetic waves in volumes with coordinate boundaries;• general issues of the theory of thin impedance vibrators and narrow slots in a spatial-frequency representation;• solution of current equations for isolated vibrator and slot scatterers;• combined radiating vibrator-slot structures in rectangular waveguide;• T-junctions of rectangular waveguides with vibrator-slot structures in coupling areas;• waveguide radiation of the combined vibrator-slot structures;• combined vibrator-slot structures located on a perfectly conducting sphere;• combined vibrator-slot Radiators in antenna arrays;• ultrawideband vibrator-slot structures;

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Page Count

337

Publisher

Springer Nature

Published Date

ISBN 10

3030601773

ISBN 13

9783030601775

How Ideas Arise

By: Sergey Zaitsev

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How Ideas Arise

By: Sergey Zaitsev

In a brief and entertaining way the author (an experienced inventor) shares the secrets of the “creative kitchen”. The general principles of obtaining and selecting ideas that are necessary to solve various kinds of problems are outlined. The suggested recommendations will help the reader to quickly and significantly increase their creative potential.The book is intended mainly for graduates of higher educational institutions who are embarking on independent creative activity.

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Litres

Published Date

ISBN 10

504585092X

ISBN 13

9785045850926

Radio Monitoring

Problems, Methods and Equipment

By: Anatoly Rembovsky,Alexander Ashikhmin,Vladimir Kozmin,Sergey M. Smolskiy

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Radio Monitoring

Problems, Methods and Equipment

By: Anatoly Rembovsky,Alexander Ashikhmin,Vladimir Kozmin,Sergey M. Smolskiy

Radio Monitoring: Problems, Methods, and Equipment offers a unified approach to fundamental aspects of Automated Radio Monitoring (ARM). The authors discuss the development, modeling, design, and manufacture of ARM systems. Data from established and recent research are presented and recommendations are made on methods and approaches for solving common problems in ARM. The authors also provide classification and detailed descriptions of modern high-efficient hardware-software ARM equipment, including the equipment for detection, radio direction-finding, parameters measurement and their analysis, and the identification and localization of the electromagnetic field sources. Examples of ARM equipment structure, applications, and software are provided to manage a variety of complicated interference environment in the industrial centers, inside of the buildings, and in the open terrain. This book provides a reference for professionals and researchers interested in deploying ARM technology as a tool for solving problems from radio frequency spectrum usage control.

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Page Count

524

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387981004

ISBN 13

9780387981000

A Posteriori Estimates for Partial Differential Equations

By: Sergey I. Repin

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A Posteriori Estimates for Partial Differential Equations

By: Sergey I. Repin

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Solve jigsaw puzzle

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Page Count

329

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110203049

ISBN 13

9783110203042

Reliable Methods for Computer Simulation

Error Control and Posteriori Estimates

By: Pekka Neittaanmäki,Sergey R. Repin

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Reliable Methods for Computer Simulation

Error Control and Posteriori Estimates

By: Pekka Neittaanmäki,Sergey R. Repin

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Solve jigsaw puzzle

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Page Count

317

Publisher

Elsevier

Published Date

ISBN 10

0080540503

ISBN 13

9780080540504

Book's by Sergey Repin

A Posteriori Estimates for Partial Differential Equations

A Posteriori Estimates for Partial Differential Equations

Reliable Methods for Computer Simulation

Reliable Methods for Computer Simulation

High-Energy Ecologically Safe HF/DF Lasers

High-Energy Ecologically Safe HF/DF Lasers

Accuracy Verification Methods

Accuracy Verification Methods

Advances in Biosensors: Reviews, Vol. 2

Advances in Biosensors: Reviews, Vol. 2

Trepanation of the Skull

Trepanation of the Skull

Leningrad 1941 - 42

Leningrad 1941 - 42

Want be a scientist? Read it!

Want be a scientist? Read it!

Combined Vibrator-Slot Structures: Theory and Applications

Combined Vibrator-Slot Structures: Theory and Applications

How Ideas Arise

How Ideas Arise

Radio Monitoring

Radio Monitoring

A Posteriori Estimates for Partial Differential Equations

A Posteriori Estimates for Partial Differential Equations

Reliable Methods for Computer Simulation

Reliable Methods for Computer Simulation

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