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Classical Aspects Of Partial Differential Equations
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Book Synopsis Foundations of the Classical Theory of Partial Differential Equations by : Yu.V. Egorov
Download or read book Foundations of the Classical Theory of Partial Differential Equations written by Yu.V. Egorov and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993
Book Synopsis Classical Aspects of Partial Differential Equations by : Johannes Jisse Duistermaat
Download or read book Classical Aspects of Partial Differential Equations written by Johannes Jisse Duistermaat and published by . This book was released on 1980 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Elliptic Partial Differential Equations by : Luigi Ambrosio
Download or read book Lectures on Elliptic Partial Differential Equations written by Luigi Ambrosio and published by Springer. This book was released on 2019-01-10 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
Book Synopsis Classical Aspects of Partial Differential Equations by : J. J. Duistermaat
Download or read book Classical Aspects of Partial Differential Equations written by J. J. Duistermaat and published by . This book was released on 1980 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations in Classical Mathematical Physics by : Isaak Rubinstein
Download or read book Partial Differential Equations in Classical Mathematical Physics written by Isaak Rubinstein and published by Cambridge University Press. This book was released on 1998-04-28 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
Book Synopsis Analytical and Numerical Aspects of Partial Differential Equations by : Etienne Emmrich
Download or read book Analytical and Numerical Aspects of Partial Differential Equations written by Etienne Emmrich and published by Walter de Gruyter. This book was released on 2009-07-14 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws.
Book Synopsis Partial Differential Equations: Classical Theory with a Modern Touch by : A. K. Nandakumaran
Download or read book Partial Differential Equations: Classical Theory with a Modern Touch written by A. K. Nandakumaran and published by Cambridge University Press. This book was released on 2020-10-29 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable guide covering the key principles of partial differential equations and their real world applications.
Book Synopsis Foundations of the Classical Theory of Partial Differential Equations by : Yu.V. Egorov
Download or read book Foundations of the Classical Theory of Partial Differential Equations written by Yu.V. Egorov and published by Springer Science & Business Media. This book was released on 1998-03-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993
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.
Book Synopsis Essential Partial Differential Equations by : David F. Griffiths
Download or read book Essential Partial Differential Equations written by David F. Griffiths and published by Springer. This book was released on 2015-09-24 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection–diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.
Book Synopsis Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions by : Doina Cioranescu
Download or read book Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions written by Doina Cioranescu and published by World Scientific Publishing Company. This book was released on 2017-11-27 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the equations pointwise. Classical solutions of the Laplace, heat, and wave equations are provided. Part II deals with variational PDEs, where weak (variational) solutions are considered. They are defined by variational formulations of the equations, based on Sobolev spaces. A comprehensive and detailed presentation of these spaces is given. Examples of variational elliptic, parabolic, and hyperbolic problems with different boundary conditions are discussed.
Book Synopsis Essentials of Partial Differential Equations by : Marin Marin
Download or read book Essentials of Partial Differential Equations written by Marin Marin and published by Springer. This book was released on 2018-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
Book Synopsis Introduction to Partial Differential Equations by : David Borthwick
Download or read book Introduction to Partial Differential Equations written by David Borthwick and published by Springer. This book was released on 2017-01-12 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: What is the scientific problem we are trying to understand? How do we model that with PDE? What techniques can we use to analyze the PDE? How do those techniques apply to this equation? What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.
Book Synopsis Elements of Partial Differential Equations by : Pavel Drábek
Download or read book Elements of Partial Differential Equations written by Pavel Drábek and published by Walter de Gruyter. This book was released on 2008-07-16 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. An elementary introduction to the basic principles of partial differential equations. With many illustrations. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
Book Synopsis Geometric Aspects of Partial Differential Equations by : Krzysztof Wojciechowski
Download or read book Geometric Aspects of Partial Differential Equations written by Krzysztof Wojciechowski and published by American Mathematical Soc.. This book was released on 1999 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers by leading researchers gives a broad picture of current research directions in geometric aspects of partial differential equations. Based on lectures presented at a Minisymposium on Spectral Invariants - Heat Equation Approach, held in September 1998 at Roskilde University in Denmark, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Presented here are new index theorems as well as new calculations of the eta-invariant, of the spectral flow, of the Maslov index, of Seiberg-Witten monopoles, heat kernels, determinants, non-commutative residues, and of the Ray-Singer torsion. New types of boundary value problems for operators of Dirac type and generalizations to manifolds with cuspidal ends, to non-compact and to infinite-dimensional manifolds are also discussed. Throughout the book, the use of advanced analysis methods for gaining geometric insight emerges as a central theme. Aimed at graduate students and researchers, this book would be suitable as a text for an advanced graduate topics course on geometric aspects of partial differential equations and spectral invariants.
Book Synopsis Partial Differential Equations: Foundations of the classical theory by :
Download or read book Partial Differential Equations: Foundations of the classical theory written by and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Partial Differential Equations by : Ian Naismith Sneddon
Download or read book Elements of Partial Differential Equations written by Ian Naismith Sneddon and published by . This book was released on 1986 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:
