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Group Properties Of The Acoustic Differential Equation
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Book Synopsis Group Properties Of The Acoustic Differential Equation by : L V Poluyanov
Download or read book Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and published by CRC Press. This book was released on 1995-05-24 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The inf
Book Synopsis Group Properties Of The Acoustic Differential Equation by : L V Poluyanov
Download or read book Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and published by CRC Press. This book was released on 1995-05-24 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The information obtained allows the reader to construct different types of analytical solutions of the different acoustic equation. The acoustic differential equation describes sound waves in elastic media. If the media is non-homogeneous then the acoustic equation is generally very complicated and its exact solutions or analytical solutions may be considered as rare. This volume applies Lie algebra and Lie group techniques to separate independent variables and obtains exact analytical solutions. Special attention is paid to homogeneous and non-homogeneous media with different symmetry properties. The full wave acoustic equation is considered as well as the so-called phase acoustic equation which arises in the short-wave approximation.
Book Synopsis Group Properties of the Acoustic Differential Equation by : Leonid V. Poluyanov
Download or read book Group Properties of the Acoustic Differential Equation written by Leonid V. Poluyanov and published by . This book was released on 1995 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures On The Theory Of Group Properties Of Differential Equations by : Lev Vasilyevich Ovsyannikov
Download or read book Lectures On The Theory Of Group Properties Of Differential Equations written by Lev Vasilyevich Ovsyannikov and published by World Scientific Publishing Company. This book was released on 2013-05-20 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
Book Synopsis CRC Handbook of Lie Group Analysis of Differential Equations by : Nail H. Ibragimov
Download or read book CRC Handbook of Lie Group Analysis of Differential Equations written by Nail H. Ibragimov and published by CRC Press. This book was released on 1994-11-28 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.
Author :Gregory S. Chirikjian Publisher :Springer Science & Business Media ISBN 13 :0817648038 Total Pages :397 pages Book Rating :4.8/5 (176 download)
Book Synopsis Stochastic Models, Information Theory, and Lie Groups, Volume 1 by : Gregory S. Chirikjian
Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 1 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2009-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Book Synopsis Differential Equations and Group Methods for Scientists and Engineers by : James M. Hill
Download or read book Differential Equations and Group Methods for Scientists and Engineers written by James M. Hill and published by CRC Press. This book was released on 1992-03-17 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.
Book Synopsis Group Analysis of Differential Equations by : L. V. Ovsiannikov
Download or read book Group Analysis of Differential Equations written by L. V. Ovsiannikov and published by Academic Press. This book was released on 2014-05-10 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie groups and Lie algebras and its application to creating algorithms for solving the problems of the group analysis of differential equations. This text is organized into eight chapters. Chapters I to III describe the one-parameter group with its tangential field of vectors. The nonstandard treatment of the Banach Lie groups is reviewed in Chapter IV, including a discussion of the complete theory of Lie group transformations. Chapters V and VI cover the construction of partial solution classes for the given differential equation with a known admitted group. The theory of differential invariants that is developed on an infinitesimal basis is elaborated in Chapter VII. The last chapter outlines the ways in which the methods of group analysis are used in special issues involving differential equations. This publication is a good source for students and specialists concerned with areas in which ordinary and partial differential equations play an important role.
Book Synopsis Group Properties of Differential Equations by : Lev Vasilʹevich Ovsi︠a︡nnikov
Download or read book Group Properties of Differential Equations written by Lev Vasilʹevich Ovsi︠a︡nnikov and published by . This book was released on 1970 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis CRC Handbook of Lie Group Analysis of Differential Equations by : Nail H. Ibragimov
Download or read book CRC Handbook of Lie Group Analysis of Differential Equations written by Nail H. Ibragimov and published by CRC Press. This book was released on 1993-10-20 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
Download or read book Sci-tech News written by and published by . This book was released on 1996 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Properties of Differential Equations by : L. V. Ovsjannikov
Download or read book Group Properties of Differential Equations written by L. V. Ovsjannikov and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on the Theory of Group Properties of Differential Equations by : L. V. Ovsyannikov
Download or read book Lectures on the Theory of Group Properties of Differential Equations written by L. V. Ovsyannikov and published by . This book was released on with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Mathematics and Technology by : Serge Dos Santos
Download or read book Recent Advances in Mathematics and Technology written by Serge Dos Santos and published by Springer Nature. This book was released on 2020-02-21 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume are based on talks given at the inaugural Technology, Engineering and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco. Advances in mathematical modeling, optimization, numerical analysis, signal processing, and computer science are presented by leading experts in these fields. There is a particular emphasis on stochastic analysis, machine learning algorithms, and deep learning models, which are highly relevant to the state-of-the-art in augmented, virtual, and mixed realities. Topics include: Harmonic analysis Big data analytics and applications Biomathematics Computer engineering and applications Economics and financial engineering Medical imaging and non-destructive testing This volume is ideal for engineers and researchers working in technological fields that need to be modeled and simulated using the tools of modern mathematics.
Book Synopsis Galois’ Dream: Group Theory and Differential Equations by : Michio Kuga
Download or read book Galois’ Dream: Group Theory and Differential Equations written by Michio Kuga and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.
Book Synopsis Group Properties of Differential Equations by :
Download or read book Group Properties of Differential Equations written by and published by . This book was released on 1973 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Lie Theory of One-parameter Groups by : Abraham Cohen
Download or read book An Introduction to the Lie Theory of One-parameter Groups written by Abraham Cohen and published by . This book was released on 1911 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
