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Formal And Analytic Solutions Of Differential Equations
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Book Synopsis Formal And Analytic Solutions Of Differential Equations by : Galina Filipuk
Download or read book Formal And Analytic Solutions Of Differential Equations written by Galina Filipuk and published by World Scientific. This book was released on 2022-03-03 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the reader with an overview of the actual state of research in ordinary and partial differential equations in the complex domain. Topics include summability and asymptotic study of both ordinary and partial differential equations, and also q-difference and differential-difference equations. This book will be of interest to researchers and students who wish to expand their knowledge of these fields.With the latest results and research developments and contributions from experts in their field, Formal and Analytic Solutions of Differential Equations provides a valuable contribution to methods, techniques, different mathematical tools, and study calculations.
Book Synopsis Formal and Analytic Solutions of Diff. Equations by : Galina Filipuk
Download or read book Formal and Analytic Solutions of Diff. Equations written by Galina Filipuk and published by Springer. This book was released on 2018-09-24 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings provide methods, techniques, different mathematical tools and recent results in the study of formal and analytic solutions to Diff. (differential, partial differential, difference, q-difference, q-difference-differential.... ) Equations. They consist of selected contributions from the conference "Formal and Analytic Solutions of Diff. Equations", held at Alcalá de Henares, Spain during September 4-8, 2017. Their topics include summability and asymptotic study of both ordinary and partial differential equations. The volume is divided into four parts. The first paper is a survey of the elements of nonlinear analysis. It describes the algorithms to obtain asymptotic expansion of solutions of nonlinear algebraic, ordinary differential, partial differential equations, and of systems of such equations. Five works on formal and analytic solutions of PDEs are followed by five papers on the study of solutions of ODEs. The proceedings conclude with five works on related topics, generalizations and applications. All contributions have been peer reviewed by anonymous referees chosen among the experts on the subject. The volume will be of interest to graduate students and researchers in theoretical and applied mathematics, physics and engineering seeking an overview of the recent trends in the theory of formal and analytic solutions of functional (differential, partial differential, difference, q-difference, q-difference-differential) equations in the complex domain.
Book Synopsis Recent Trends in Formal and Analytic Solutions of Diff. Equations by : Galina Filipuk
Download or read book Recent Trends in Formal and Analytic Solutions of Diff. Equations written by Galina Filipuk and published by American Mathematical Society. This book was released on 2023-02-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Formal and Analytic Solutions of Diff. Equations, held from June 28–July 2, 2021, and hosted by University of Alcalá, Alcalá de Henares, Spain. The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q$-difference equations, partial differential equations, moment differential equations, etc. Also discussed are related topics such as summability of formal solutions and the asymptotic study of their solutions. The volume is intended not only for researchers in this field of knowledge but also for students who aim to acquire new techniques and learn recent results.
Book Synopsis Analytic Solutions of Functional Equations by :
Download or read book Analytic Solutions of Functional Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Formal Algorithmic Elimination for PDEs by : Daniel Robertz
Download or read book Formal Algorithmic Elimination for PDEs written by Daniel Robertz and published by Springer. This book was released on 2014-10-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions. After giving a detailed introduction to Janet bases and Thomas decomposition, the problem of finding an implicit description of certain sets of analytic functions in terms of differential equations is addressed. Effective methods of varying generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how the symbolic solution of partial differential equations profits from the study of the implicitization problem. For instance, certain families of exact solutions of the Navier-Stokes equations can be computed.
Book Synopsis Formal and Analytic Solutions of Differential and Difference Equations by : Werner Balser
Download or read book Formal and Analytic Solutions of Differential and Difference Equations written by Werner Balser and published by . This book was released on 2012 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Theory of Differential Equations by : P. F. Hsieh
Download or read book Analytic Theory of Differential Equations written by P. F. Hsieh and published by Springer. This book was released on 2006-11-15 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Difference Equations and Their Analytic Solutions by : Robert Daniel Carmichael
Download or read book Linear Difference Equations and Their Analytic Solutions written by Robert Daniel Carmichael and published by . This book was released on 1911 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic, Algebraic and Geometric Aspects of Differential Equations by : Galina Filipuk
Download or read book Analytic, Algebraic and Geometric Aspects of Differential Equations written by Galina Filipuk and published by Birkhäuser. This book was released on 2017-06-23 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.
Book Synopsis The Analysis and Solution of Partial Differential Equations by : Robert L. Street
Download or read book The Analysis and Solution of Partial Differential Equations written by Robert L. Street and published by . This book was released on 1973 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Methods for the Solution of Differential Equations by : Marvin E. Goldstein
Download or read book Advanced Methods for the Solution of Differential Equations written by Marvin E. Goldstein and published by . This book was released on 1973 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a course presented at the Lewis Research Center for engineers and scientists who were interested in increasing their knowledge of differential equations. Those results which can actually be used to solve equations are therefore emphasized; and detailed proofs of theorems are, for the most part, omitted. However, the conclusions of the theorems are stated in a precise manner, and enough references are given so that the interested reader can find the steps of the proofs.
Book Synopsis Local Theory of Nonlinear Analytic Ordinary Differential Equations by : Y. N. Bibikov
Download or read book Local Theory of Nonlinear Analytic Ordinary Differential Equations written by Y. N. Bibikov and published by Springer. This book was released on 2006-11-15 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Methods for Partial Differential Equations by : G. Evans
Download or read book Analytic Methods for Partial Differential Equations written by G. Evans and published by Springer Science & Business Media. This book was released on 1999-11-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.
Book Synopsis Complex Differential and Difference Equations by : Galina Filipuk
Download or read book Complex Differential and Difference Equations written by Galina Filipuk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a balanced combination of longer survey articles and shorter, peer-reviewed research-level presentations on the topic of differential and difference equations on the complex domain, this edited volume presents an up-to-date overview of areas such as WKB analysis, summability, resurgence, formal solutions, integrability, and several algebraic aspects of differential and difference equations.
Book Synopsis Separation of Variables for Partial Differential Equations by : George Cain
Download or read book Separation of Variables for Partial Differential Equations written by George Cain and published by CRC Press. This book was released on 2005-11-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the presentation includes a number of realistic applications that illustrate the power and usefulness of the ideas behind these techniques. This complete, self-contained book includes numerous exercises and error estimates, as well as a rigorous approximation and computational tool.
Book Synopsis Linear Differential Equations in the Complex Domain by : Yasutaka Sibuya
Download or read book Linear Differential Equations in the Complex Domain written by Yasutaka Sibuya and published by American Mathematical Soc.. This book was released on 2008-06-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation of a 1976 book originally written in Japanese. The main attention is paid to intrinsic aspects of problems related to linear ordinary differential equations in complex domains. Examples of the problems discussed in the book include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations. Since the original book was published, many new ideas have developed, such as applications of D-modules, Gevrey asymptotics, cohomological methods, $k$-summability, and studies of differential equations containing parameters. Five appendices, added in the present edition, briefly cover these new ideas. In addition, more than 100 references have been added. This book introduces the reader to the essential facts concerning the structure of solutions of linear differential equations in the complex domain and illuminates the intrinsic meaning of older results by means of more modern ideas. A useful reference for research mathematicians, this book would also be suitable as a textbook in a graduate course or seminar.
Download or read book Formal Analysis written by Xiao-Xiong Gan and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This book is the first comprehensive presentation of the topic that systematically introduces formal analysis, including its algebraic, analytic, and topological structure, along with various applications.
