Vladimir Mityushev's Books

Computational Analysis of Structured Media

By: Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

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Computational Analysis of Structured Media

By: Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz's method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. - Computational methodology for main classes of problems in structured media - Theory of Representative Volume Element - Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella - Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations

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Page Count

330

Publisher

Academic Press

Published Date

ISBN 10

0128110473

ISBN 13

9780128110478

Introduction to Mathematical Modeling and Computer Simulations

By: Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko

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Introduction to Mathematical Modeling and Computer Simulations

By: Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko

Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.

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Page Count

202

Publisher

CRC Press

Published Date

ISBN 10

1351998757

ISBN 13

9781351998758

Applied Analysis of Composite Media

Analytical and Computational Results for Materials Scientists and Engineers

By: Piotr Drygaś,Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

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Applied Analysis of Composite Media

Analytical and Computational Results for Materials Scientists and Engineers

By: Piotr Drygaś,Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media. - Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methods - Includes critical phenomena in transport and elastic problems for composites and porous media - Applies computational methodology to biological structures - Presents computer protocols/algorithms that can be used for materials design

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Page Count

374

Publisher

Woodhead Publishing

Published Date

ISBN 10

008102732X

ISBN 13

9780081027325

Fundamentals of Structural Optimization

Stability and Contact Mechanics

By: Vladimir Kobelev

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Fundamentals of Structural Optimization

Stability and Contact Mechanics

By: Vladimir Kobelev

This book serves as a complementary resource to the courses "Advanced structural optimization" and "Structural optimization in automotive engineering" taught by the author at the University of Siegen, North-Rhine-Westphalia, Germany since 2001. Focusing on optimization problems in the field of structural engineering, this book offers a rigorous and analytical approach to problem-solving. Each chapter of the book begins with a brief overview of classical results and the derivation of governing equations. The solutions to optimization problems are then presented in a closed form, with the author guiding readers through several analytical methods for solving stability and contact tasks. Throughout the book, the author takes care to ensure that even readers without extensive experience in numerical computations can understand the conclusion of each relation. The book features several basic optimization problems, selected from a large pool of previously solved problems, with a particular emphasis on the unique features of optimization problems. By presenting analytical solutions, readers can better understand other known optimization problems and gain the skills needed to independently set and solve new problems. With its comprehensive and rigorous approach to problem-solving, this book is sure to enhance the reader's understanding of the field and equip them with the skills needed to tackle new challenges.

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Page Count

368

Publisher

Springer Nature

Published Date

ISBN 10

3031346327

ISBN 13

9783031346323

Computational Analysis of Structured Media

By: Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

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Computational Analysis of Structured Media

By: Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

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Solve jigsaw puzzle

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Page Count

330

Publisher

Academic Press

Published Date

ISBN 10

0128110473

ISBN 13

9780128110478

Applied Analysis of Composite Media

Analytical and Computational Results for Materials Scientists and Engineers

By: Piotr Drygaś,Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

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Applied Analysis of Composite Media

Analytical and Computational Results for Materials Scientists and Engineers

By: Piotr Drygaś,Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

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Solve jigsaw puzzle

Age

Page Count

374

Publisher

Woodhead Publishing

Published Date

ISBN 10

008102732X

ISBN 13

9780081027325

Introduction to Mathematical Modeling and Computer Simulations

By: Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko

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Introduction to Mathematical Modeling and Computer Simulations

By: Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko

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N/A

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Solve jigsaw puzzle

Age

Page Count

202

Publisher

CRC Press

Published Date

ISBN 10

1351998757

ISBN 13

9781351998758

Book's by Vladimir Mityushev

Computational Analysis of Structured Media

Computational Analysis of Structured Media

Introduction to Mathematical Modeling and Computer Simulations

Introduction to Mathematical Modeling and Computer Simulations

Applied Analysis of Composite Media

Applied Analysis of Composite Media

Fundamentals of Structural Optimization

Fundamentals of Structural Optimization

Computational Analysis of Structured Media

Computational Analysis of Structured Media

Applied Analysis of Composite Media

Applied Analysis of Composite Media

Introduction to Mathematical Modeling and Computer Simulations

Introduction to Mathematical Modeling and Computer Simulations

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