On Partial Differential Equations Of Mixed Type Linear In The Second Order Derivatives

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Partial Differential Equations

Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Encyclopaedia of Mathematics

Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937951
Total Pages : 967 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Mathematics

Author : I.N. Bronshtein
Publisher : Springer Science & Business Media
ISBN 13 : 3662053829
Total Pages : 1201 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Handbook of Mathematics by : I.N. Bronshtein

Download or read book Handbook of Mathematics written by I.N. Bronshtein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. For the 4th edition, the concept of the book has been completely re-arranged. The new emphasis is on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing.

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1466581492
Total Pages : 1623 pages
Book Rating : 4.4/5 (665 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 2015-12-23 with total page 1623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB are explored.

Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

Author : Guo Chun Wen
Publisher : CRC Press
ISBN 13 : 0203166582
Total Pages : 272 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types by : Guo Chun Wen

Download or read book Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types written by Guo Chun Wen and published by CRC Press. This book was released on 2002-08-22 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with first and second order complex equations of hyperbolic and mixed types. Various general boundary value problems for linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous boundary value problems for elliptic complex equations are discusse

Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9812779434
Total Pages : 453 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy by : Guo Chun Wen

Download or read book Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy written by Guo Chun Wen and published by World Scientific. This book was released on 2008 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed by J M Rassias. The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used. The corresponding problems for first order complex equations with singular coefficients are first discussed, and then the problems for second order complex equations are considered, where we pose the new partial derivative notations and complex analytic methods such that the forms of the above first order complex equations in hyperbolic and elliptic domains are wholly identical. In the meantime, the estimates of solutions for the above problems are obtained, hence many open problems including the above TricomiOCo Bers and TricomiOCoFranklOCoRassias problems can be solved. Sample Chapter(s). Chapter 1: Elliptic Complex Equations of First Order (247 KB). Contents: Elliptic Complex Equations of First Order; Elliptic Complex Equations of Second Order; Hyperbolic Complex Equations of First and Second Orders; First Order Complex Equations of Mixed Type; Second Order Linear Equations of Mixed Type; Second Order Quasilinear Equations of Mixed Type. Readership: Graduate students and academics in analysis, differential equations and applied mathematics.

Introduction to Partial Differential Equations

Author : Peter J. Olver
Publisher : Springer Science & Business Media
ISBN 13 : 3319020994
Total Pages : 636 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Partial Differential Equations by : Peter J. Olver

Download or read book Introduction to Partial Differential Equations written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

Partial Differential Equations

Author : Michael Shearer
Publisher : Princeton University Press
ISBN 13 : 0691161291
Total Pages : 286 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Partial Differential Equations by : Michael Shearer

Download or read book Partial Differential Equations written by Michael Shearer and published by Princeton University Press. This book was released on 2015-03-01 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors

A Compendium of Partial Differential Equation Models

Author : William E. Schiesser
Publisher : Cambridge University Press
ISBN 13 : 0521519861
Total Pages : 491 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis A Compendium of Partial Differential Equation Models by : William E. Schiesser

Download or read book A Compendium of Partial Differential Equation Models written by William E. Schiesser and published by Cambridge University Press. This book was released on 2009-03-16 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.

Partial Differential Equations

Author : Bhamra
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120339177
Total Pages : 580 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Partial Differential Equations by : Bhamra

Download or read book Partial Differential Equations written by Bhamra and published by PHI Learning Pvt. Ltd.. This book was released on 2010-01-30 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: and postgraduate (MA/MSc) students of mathematics, and conforms to the course curriculum prescribed by UGC. The text is broadly organized into two parts. The first part (Lessons 1 to 15) mostly covers the first-order equations in two variables. In these lessons, the mathematical importance of PDEs of first order in physics and applied sciences has also been highlighted. The other part (Lessons 16 to 50) deals with the various properties of second-order and first- order PDEs. The book emphasizes the applications of PDEs and covers various important topics such as the Hamilton Jacobi equation, Conservation laws, Similarity solution, Asymptotics and Power series solution and many more. The graded problems, the techniques for solving them, and a large number of exercises with hints and answers help students gain the necessary skill and confidence in handling the subject.

Partial Differential Equations of Mathematical Physics

Author : S. L. Sobolev
Publisher : Elsevier
ISBN 13 : 1483181367
Total Pages : 441 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Partial Differential Equations of Mathematical Physics by : S. L. Sobolev

Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Elsevier. This book was released on 2016-06-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems. Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.

Traveling Wave Analysis of Partial Differential Equations

Author : Graham Griffiths
Publisher : Academic Press
ISBN 13 : 0123846536
Total Pages : 463 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Traveling Wave Analysis of Partial Differential Equations by : Graham Griffiths

Download or read book Traveling Wave Analysis of Partial Differential Equations written by Graham Griffiths and published by Academic Press. This book was released on 2010-12-09 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods. This book surveys some of these new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The PDEs that have been selected are largely "named'' since they carry the names of their original contributors. These names usually signify that the PDEs are widely recognized and used in many application areas. The authors' intention is to provide a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs. The Matlab and Maple software will be available for download from this website shortly. www.pdecomp.net - Includes a spectrum of applications in science, engineering, applied mathematics - Presents a combination of numerical and analytical methods - Provides transportable computer codes in Matlab and Maple

Lecture Notes on Mixed Type Partial Differential Equations

Author : John Michael Rassias
Publisher : World Scientific
ISBN 13 : 9789810204068
Total Pages : 160 pages
Book Rating : 4.2/5 (4 download)

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Book Synopsis Lecture Notes on Mixed Type Partial Differential Equations by : John Michael Rassias

Download or read book Lecture Notes on Mixed Type Partial Differential Equations written by John Michael Rassias and published by World Scientific. This book was released on 1990 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.

An Elementary Course on Partial Differential Equations

Author : Aftab Alam
Publisher : Cambridge University Press
ISBN 13 : 1009276654
Total Pages : 392 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis An Elementary Course on Partial Differential Equations by : Aftab Alam

Download or read book An Elementary Course on Partial Differential Equations written by Aftab Alam and published by Cambridge University Press. This book was released on 2022-09-30 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations are a vital part of any course in pure or applied mathematics. This book will be invaluable to anyone looking for a lucid but comprehensive introduction to PDEs. Designed to strike a balance between theory and practical problems, it covers all major methods as well as their historical backgrounds, theoretical rigour, and geometric significance. The book is divided into three parts. It starts with basic topics like ordinary differential equations, multivariable calculus, and geometry. This is followed by important techniques to solve certain types of partial differential equations. The last part is devoted to first, second, and higher-order PDEs. The chapters have been arranged to help students develop their knowledge gradually and systematically. Each method is discussed through theoretical descriptions in the form of theorems followed by illustrative problems to help the readers. Finally, numerous solved examples and practice problems helps the student learn to apply this knowledge.

Partial Differential Equations of Applied Mathematics

Author : Erich Zauderer
Publisher : John Wiley & Sons
ISBN 13 : 1118031407
Total Pages : 968 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Partial Differential Equations of Applied Mathematics by : Erich Zauderer

Download or read book Partial Differential Equations of Applied Mathematics written by Erich Zauderer and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: * A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. * Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. * A related FTP site that includes all the Maple code used in the text. * New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.

Composite Type Equations and Inverse Problems

Author : A. I. Kozhanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110943271
Total Pages : 184 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Composite Type Equations and Inverse Problems by : A. I. Kozhanov

Download or read book Composite Type Equations and Inverse Problems written by A. I. Kozhanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.