Nonlinear Partial Differential Equations For Scientists And Engineers

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Nonlinear Partial Differential Equations for Scientists and Engineers

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
ISBN 13 : 1489928464
Total Pages : 602 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Nonlinear Partial Differential Equations for Scientists and Engineers by : Lokenath Debnath

Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.

Nonlinear Partial Differential Equations with Applications

Author : Tomás Roubicek
Publisher : Springer Science & Business Media
ISBN 13 : 3764373970
Total Pages : 415 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Nonlinear Partial Differential Equations with Applications by : Tomás Roubicek

Download or read book Nonlinear Partial Differential Equations with Applications written by Tomás Roubicek and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.

Nonlinear Partial Differential Equations for Scientists and Engineers

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
ISBN 13 : 0817682651
Total Pages : 872 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Nonlinear Partial Differential Equations for Scientists and Engineers by : Lokenath Debnath

Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2011-10-06 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.

Linear Partial Differential Equations for Scientists and Engineers

Author : Tyn Myint-U
Publisher : Springer Science & Business Media
ISBN 13 : 0817645608
Total Pages : 790 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Linear Partial Differential Equations for Scientists and Engineers by : Tyn Myint-U

Download or read book Linear Partial Differential Equations for Scientists and Engineers written by Tyn Myint-U and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.

Handbook of Nonlinear Partial Differential Equations

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1135440816
Total Pages : 835 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Handbook of Nonlinear Partial Differential Equations by : Andrei D. Polyanin

Download or read book Handbook of Nonlinear Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2004-06-02 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Author : Inna Shingareva
Publisher : Springer Science & Business Media
ISBN 13 : 370910517X
Total Pages : 372 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Solving Nonlinear Partial Differential Equations with Maple and Mathematica by : Inna Shingareva

Download or read book Solving Nonlinear Partial Differential Equations with Maple and Mathematica written by Inna Shingareva and published by Springer Science & Business Media. This book was released on 2011-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).

Nonlinear Partial Differential Equations with Applications

Author : Tomáš Roubíček
Publisher : Springer Science & Business Media
ISBN 13 : 3034805136
Total Pages : 486 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Partial Differential Equations with Applications by : Tomáš Roubíček

Download or read book Nonlinear Partial Differential Equations with Applications written by Tomáš Roubíček and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook. The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. ------ The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (...) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world. (Mathematical Reviews)

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1420035320
Total Pages : 800 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Linear Partial Differential Equations for Engineers and Scientists by : Andrei D. Polyanin

Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2001-11-28 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with

Separation of Variables and Exact Solutions to Nonlinear PDEs

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1000463664
Total Pages : 349 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Separation of Variables and Exact Solutions to Nonlinear PDEs by : Andrei D. Polyanin

Download or read book Separation of Variables and Exact Solutions to Nonlinear PDEs written by Andrei D. Polyanin and published by CRC Press. This book was released on 2021-09-20 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations of mathematical physics. The equations of heat and mass transfer, wave theory, hydrodynamics, nonlinear optics, combustion theory, chemical technology, biology, and other disciplines are studied. Particular attention is paid to nonlinear equations of a reasonably general form that depend on one or several arbitrary functions. Such equations are the most difficult to analyze. Their exact solutions are of significant practical interest, as they are suitable to assess the accuracy of various approximate analytical and numerical methods. The book contains new material previously unpublished in monographs. It is intended for a broad audience of scientists, engineers, instructors, and students specializing in applied and computational mathematics, theoretical physics, mechanics, control theory, chemical engineering science, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on partial differential equations, equations of mathematical physics, and methods of mathematical physics, for delivering special courses and for practical training.

Numerical Solution of Partial Differential Equations in Science and Engineering

Author : Leon Lapidus
Publisher : John Wiley & Sons
ISBN 13 : 1118031210
Total Pages : 677 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Numerical Solution of Partial Differential Equations in Science and Engineering by : Leon Lapidus

Download or read book Numerical Solution of Partial Differential Equations in Science and Engineering written by Leon Lapidus and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of Numerical Solution of PartialDifferential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, evenexhaustive, survey of the subject . . . [It] is unique in that itcovers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic)mode of presentation. Many different computational schemes aredescribed in great detail . . . Numerous practical examples andapplications are described from beginning to the end, often withcalculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages tolucid developments of the methods [for solving partial differentialequations] . . . the writing is very polished and I found it apleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen andEli L. Isaacson. A modern, practical look at numerical analysis,this book guides readers through a broad selection of numericalmethods, implementation, and basic theoretical results, with anemphasis on methods used in scientific computation involvingdifferential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan.Presenting an easily accessible treatment of mathematical methodsfor scientists and engineers, this acclaimed work covers fluidmechanics and calculus of variations as well as more modernmethods-dimensional analysis and scaling, nonlinear wavepropagation, bifurcation, and singular perturbation. 1996(0-471-16513-1) 496 pp.

Partial Differential Equations for Scientists and Engineers

Author : Stanley J. Farlow
Publisher : Courier Corporation
ISBN 13 : 0486134733
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Partial Differential Equations for Scientists and Engineers by : Stanley J. Farlow

Download or read book Partial Differential Equations for Scientists and Engineers written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2012-03-08 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.

Differential Equations and Group Methods for Scientists and Engineers

Author : James M. Hill
Publisher : CRC Press
ISBN 13 : 9780849344428
Total Pages : 232 pages
Book Rating : 4.3/5 (444 download)

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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.

Partial Differential Equations

Author : Lawrence C. Evans
Publisher : American Mathematical Soc.
ISBN 13 : 0821849743
Total Pages : 778 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partial Differential Equations by : Lawrence C. Evans

Download or read book Partial Differential Equations written by Lawrence C. Evans and published by American Mathematical Soc.. This book was released on 2010 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail...Evans' book is evidence of his mastering of the field and the clarity of presentation (Luis Caffarelli, University of Texas) It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations ...Every graduate student in analysis should read it. (David Jerison, MIT) I use Partial Differential Equations to prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's ...I am very happy with the preparation it provides my students. (Carlos Kenig, University of Chicago) Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge ...An outstanding reference for many aspects of the field. (Rafe Mazzeo, Stanford University.

Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences

Author : Anthony W Leung
Publisher : World Scientific
ISBN 13 : 9814467472
Total Pages : 545 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences by : Anthony W Leung

Download or read book Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences written by Anthony W Leung and published by World Scientific. This book was released on 2009-08-28 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers.The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering.Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists.

Partial Differential Equations for Scientists and Engineers

Author : Tyn Myint U.
Publisher : North-Holland
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Partial Differential Equations for Scientists and Engineers by : Tyn Myint U.

Download or read book Partial Differential Equations for Scientists and Engineers written by Tyn Myint U. and published by North-Holland. This book was released on 1987 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Ordinary Differential Equations

Author : Dominic Jordan
Publisher : Oxford University Press
ISBN 13 : 0199208247
Total Pages : 541 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Nonlinear Ordinary Differential Equations by : Dominic Jordan

Download or read book Nonlinear Ordinary Differential Equations written by Dominic Jordan and published by Oxford University Press. This book was released on 2007-08-23 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinicbifurcation and Liapunov exponents.Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007).Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

Differential Equations and Dynamical Systems

Author : Lawrence Perko
Publisher : Springer Science & Business Media
ISBN 13 : 1468402498
Total Pages : 530 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Differential Equations and Dynamical Systems by : Lawrence Perko

Download or read book Differential Equations and Dynamical Systems written by Lawrence Perko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations.