Partial Differential Equations Viii

Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642489440

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Partial Differential Equations VIII by M.A. Shubin Pdf

This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.

Author : Cédric Bernardin,François Golse,Patrícia Gonçalves,Valeria Ricci,Ana Jacinta Soares
Publisher : Springer
Page : 400 pages
File Size : 49,8 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 303069786X

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From Particle Systems to Partial Differential Equations by Cédric Bernardin,François Golse,Patrícia Gonçalves,Valeria Ricci,Ana Jacinta Soares Pdf

This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Author : M.A. Shubin
Publisher : Springer
Page : 261 pages
File Size : 41,8 Mb
Release : 2014-10-05
Category : Mathematics
ISBN : 3642489451

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Partial Differential Equations VIII by M.A. Shubin Pdf

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 240 pages
File Size : 52,8 Mb
Release : 2017-04-05
Category : Computers
ISBN : 9783319519548

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Meshfree Methods for Partial Differential Equations VIII by Michael Griebel,Marc Alexander Schweitzer Pdf

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

Author : Emmanuele DiBenedetto
Publisher : Birkhäuser
Page : 389 pages
File Size : 45,7 Mb
Release : 2009-11-13
Category : Mathematics
ISBN : 0817645519

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Partial Differential Equations by Emmanuele DiBenedetto Pdf

This book offers a self-contained introduction to partial differential equations (PDEs), primarily focusing on linear equations, and also providing perspective on nonlinear equations. The treatment is mathematically rigorous with a generally theoretical layout, with indications to some of the physical origins of PDEs. The Second Edition is rewritten to incorporate years of classroom feedback, to correct errors and to improve clarity. The exposition offers many examples, problems and solutions to enhance understanding. Requiring only advanced differential calculus and some basic Lp theory, the book will appeal to advanced undergraduates and graduate students, and to applied mathematicians and mathematical physicists.

Author : Walter A. Strauss
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 48,7 Mb
Release : 2007-12-21
Category : Mathematics
ISBN : 9780470054567

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Partial Differential Equations by Walter A. Strauss Pdf

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 42,9 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : Michael Reissig,Michael Ruzhansky
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 51,6 Mb
Release : 2013-03-30
Category : Mathematics
ISBN : 9783319001258

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Progress in Partial Differential Equations by Michael Reissig,Michael Ruzhansky Pdf

Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Author : Youri Egorov,M.A. Shubin
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 55,7 Mb
Release : 1996-12-16
Category : Mathematics
ISBN : 3540570446

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Partial Differential Equations IX by Youri Egorov,M.A. Shubin Pdf

This EMS volume gives an overview of the modern theory of elliptic boundary value problems, with contributions focusing on differential elliptic boundary problems and their spectral properties, elliptic pseudodifferential operators, and general differential elliptic boundary value problems in domains with singularities.

Author : W. N. Everitt
Publisher : Springer
Page : 290 pages
File Size : 50,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540383468

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Ordinary and Partial Differential Equations by W. N. Everitt Pdf

Author : Sandro Salsa,Gianmaria Verzini
Publisher : Springer
Page : 431 pages
File Size : 42,7 Mb
Release : 2015-05-30
Category : Mathematics
ISBN : 9783319154169

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Partial Differential Equations in Action by Sandro Salsa,Gianmaria Verzini Pdf

This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.

Author : B.D. Sleeman,I.M. Michael
Publisher : Springer
Page : 469 pages
File Size : 46,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540372646

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Ordinary and Partial Differential Equations by B.D. Sleeman,I.M. Michael Pdf

Author : K. W. Bauer,S. Ruscheweyh
Publisher : Springer
Page : 264 pages
File Size : 44,8 Mb
Release : 2007-02-08
Category : Mathematics
ISBN : 9783540392118

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Differential Operators for Partial Differential Equations and Function Theoretic Applications by K. W. Bauer,S. Ruscheweyh Pdf

Author : Peter J Costa
Publisher : Springer Nature
Page : 228 pages
File Size : 40,7 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 9783031024344

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Select Ideas in Partial Differential Equations by Peter J Costa Pdf

This text provides an introduction to the applications and implementations of partial differential equations. The content is structured in three progressive levels which are suited for upper–level undergraduates with background in multivariable calculus and elementary linear algebra (chapters 1–5), first– and second–year graduate students who have taken advanced calculus and real analysis (chapters 6-7), as well as doctoral-level students with an understanding of linear and nonlinear functional analysis (chapters 7-8) respectively. Level one gives readers a full exposure to the fundamental linear partial differential equations of physics. It details methods to understand and solve these equations leading ultimately to solutions of Maxwell’s equations. Level two addresses nonlinearity and provides examples of separation of variables, linearizing change of variables, and the inverse scattering transform for select nonlinear partial differential equations. Level three presents rich sources of advanced techniques and strategies for the study of nonlinear partial differential equations, including unique and previously unpublished results. Ultimately the text aims to familiarize readers in applied mathematics, physics, and engineering with some of the myriad techniques that have been developed to model and solve linear and nonlinear partial differential equations.

Author : Raisinghania M.D.
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 54,8 Mb
Release : 2024-06-29
Category : Science
ISBN : 9789352836109

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Ordinary and Partial Differential Equations, 20th Edition by Raisinghania M.D. Pdf

This well-acclaimed book, now in its twentieth edition, continues to offer an in-depth presentation of the fundamental concepts and their applications of ordinary and partial differential equations providing systematic solution techniques. The book provides step-by-step proofs of theorems to enhance students' problem-solving skill and includes plenty of carefully chosen solved examples to illustrate the concepts discussed.