Applied Partial Differential Equations

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Applied Partial Differential Equations

J. David Logan
Applied Partial Differential Equations Book PDF

Author : J. David Logan
Publisher : Springer Science & Business Media
Page : 193 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468405330

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Applied Partial Differential Equations by J. David Logan Pdf

This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems;' The audience usually consists of stu dents in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathemati cal physics (including the heat equation, the· wave equation, and the Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions or separation of variables, and methods based on Fourier and Laplace transforms. Prerequisites include calculus and a post-calculus differential equations course. There are several excellent texts for this course, so one can legitimately ask why one would wish to write another. A survey of the content of the existing titles shows that their scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfortable when an instructor jumps around in a long volume searching for the right topics, or only par tially covers some topics; but they are secure in completely mastering a short, well-defined introduction. This text was written to proVide a brief, one-semester introduction to partial differential equations.

Applied Partial Differential Equations

J. R. Ockendon
Applied Partial Differential Equations Book PDF

Author : J. R. Ockendon
Publisher : Unknown
Page : 466 pages
File Size : 51,5 Mb
Release : 2003
Category : Business & Economics
ISBN : 0198527713

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Applied Partial Differential Equations by J. R. Ockendon Pdf

Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises Including, American options, transform methods, free surface flows, linear elasticity and complex characteristics.

Applied Partial Differential Equations:

Peter Markowich
Applied Partial Differential Equations Book PDF

Author : Peter Markowich
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 43,9 Mb
Release : 2007-08-06
Category : Mathematics
ISBN : 9783540346463

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Applied Partial Differential Equations: by Peter Markowich Pdf

This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.

Elementary Applied Partial Differential Equations

Richard Haberman
Elementary Applied Partial Differential Equations Book PDF

Author : Richard Haberman
Publisher : Unknown
Page : 0 pages
File Size : 42,8 Mb
Release : 1998
Category : Boundary value problems
ISBN : 013263807X

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Elementary Applied Partial Differential Equations by Richard Haberman Pdf

This work aims to help the beginning student to understand the relationship between mathematics and physical problems, emphasizing examples and problem-solving.

Applied Partial Differential Equations

Paul DuChateau,David Zachmann
Applied Partial Differential Equations Book PDF

Author : Paul DuChateau,David Zachmann
Publisher : Courier Corporation
Page : 638 pages
File Size : 51,7 Mb
Release : 2012-10-30
Category : Mathematics
ISBN : 9780486141879

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Applied Partial Differential Equations by Paul DuChateau,David Zachmann Pdf

Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version)

Richard Haberman
Applied Partial Differential Equations with Fourier Series and Boundary Value Problems Classic Version Book PDF

Author : Richard Haberman
Publisher : Pearson
Page : 784 pages
File Size : 44,6 Mb
Release : 2018-03-15
Category : Boundary value problems
ISBN : 0134995430

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Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) by Richard Haberman Pdf

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

Introduction to Applied Partial Differential Equations

John M. Davis
Introduction to Applied Partial Differential Equations Book PDF

Author : John M. Davis
Publisher : W. H. Freeman
Page : 0 pages
File Size : 52,9 Mb
Release : 2012-01-06
Category : Mathematics
ISBN : 1429275928

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Introduction to Applied Partial Differential Equations by John M. Davis Pdf

Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.

Applied Partial Differential Equations

Donald W. Trim
Applied Partial Differential Equations Book PDF

Author : Donald W. Trim
Publisher : PWS Publishing Company
Page : 546 pages
File Size : 41,7 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015049314860

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Applied Partial Differential Equations by Donald W. Trim Pdf

The emphasis in this book is placed on techniques for solving partial differential equations found in physics and engineering but discussions on existence and uniqueness of solutions are included. Several different methods of solution are presented, with the primary emphasis on the classical method of separation of variables. Secondary emphasis is placed on transform solutions, as well as on the method of Green's functions.

Applied Partial Differential Equations: An Introduction

Alan Jeffrey
Applied Partial Differential Equations An Introduction Book PDF

Author : Alan Jeffrey
Publisher : Academic Press
Page : 412 pages
File Size : 50,8 Mb
Release : 2003
Category : Mathematics
ISBN : 0123822521

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Applied Partial Differential Equations: An Introduction by Alan Jeffrey Pdf

This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It is a more modern, comprehensive treatment intended for students who need more than the purely numerical solutions provided by programs like the MATLAB PDE Toolbox, and those obtained by the method of separation of variables, which is usually the only theoretical approach found in the majority of elementary textbooks. This will fill a need in the market for a more modern text for future working engineers, and one that students can read and understand much more easily than those currently on the market. * Includes new and important materials necessary to meet current demands made by diverse applications * Very detailed solutions to odd numbered problems to help students * Instructor's Manual Available

Partial Differential Equations and Boundary-Value Problems with Applications

Mark A. Pinsky
Partial Differential Equations and Boundary Value Problems with Applications Book PDF

Author : Mark A. Pinsky
Publisher : American Mathematical Soc.
Page : 545 pages
File Size : 43,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821868898

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Partial Differential Equations and Boundary-Value Problems with Applications by Mark A. Pinsky Pdf

Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

Partial Differential Equations

Walter A. Strauss
Partial Differential Equations Book PDF

Author : Walter A. Strauss
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 45,8 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.

Partial Differential Equations

T. Hillen,I.E. Leonard,H. van Roessel
Partial Differential Equations Book PDF

Author : T. Hillen,I.E. Leonard,H. van Roessel
Publisher : FriesenPress
Page : 683 pages
File Size : 53,6 Mb
Release : 2019-05-15
Category : Mathematics
ISBN : 9781525550249

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Partial Differential Equations by T. Hillen,I.E. Leonard,H. van Roessel Pdf

Provides more than 150 fully solved problems for linear partial differential equations and boundary value problems. Partial Differential Equations: Theory and Completely Solved Problems offers a modern introduction into the theory and applications of linear partial differential equations (PDEs). It is the material for a typical third year university course in PDEs. The material of this textbook has been extensively class tested over a period of 20 years in about 60 separate classes. The book is divided into two parts. Part I contains the Theory part and covers topics such as a classification of second order PDEs, physical and biological derivations of the heat, wave and Laplace equations, separation of variables, Fourier series, D’Alembert’s principle, Sturm-Liouville theory, special functions, Fourier transforms and the method of characteristics. Part II contains more than 150 fully solved problems, which are ranked according to their difficulty. The last two chapters include sample Midterm and Final exams for this course with full solutions.

Partial Differential Equations of Applied Mathematics

Erich Zauderer
Partial Differential Equations of Applied Mathematics Book PDF

Author : Erich Zauderer
Publisher : Wiley-Interscience
Page : 0 pages
File Size : 44,8 Mb
Release : 1998-08-04
Category : Mathematics
ISBN : 0471315168

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Partial Differential Equations of Applied Mathematics by Erich Zauderer Pdf

The only comprehensive guide to modeling, characterizing, and solving partial differential equations This classic text by Erich Zauderer provides a comprehensive account of partial differential equations and their applications. Dr. Zauderer develops mathematical models that give rise to partial differential equations and describes classical and modern solution techniques. With an emphasis on practical applications, he makes liberal use of real-world examples, explores both linear and nonlinear problems, and provides approximate as well as exact solutions. He also describes approximation methods for simplifying complicated solutions and for solving linear and nonlinear problems not readily solved by standard methods. 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 continues in a less statistical vein to cover an exceptionally broad range of topics, including stabilities, singularities, transform methods, the use of Green's functions, and perturbation and asymptotic treatments. Features that set Partial Differential Equations of Applied Mathematics, Second Edition above all other texts in the field include: Coverage of random walk problems, discontinuous and singular solutions, and perturbation and asymptotic methods More than 800 practice exercises, many of which are fully worked out Numerous up-to-date examples from engineering and the physical sciences Partial Differential Equations of Applied Mathematics, Second Edition is a superior advanced-undergraduate to graduate-level text for students in engineering, the sciences, and applied mathematics. The title is also a valuable working resource for professionals in these fields. Dr. Zauderer received his doctorate in mathematics from the New York University-Courant Institute. Prior to joining the staff of Polytechnic University, he was a Senior Weitzmann Fellow of the Weitzmann Institute of Science in Rehovot, Israel.

An Introduction to Partial Differential Equations

Michael Renardy,Robert C. Rogers
An Introduction to Partial Differential Equations Book PDF

Author : Michael Renardy,Robert C. Rogers
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 45,5 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387216874

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An Introduction to Partial Differential Equations by Michael Renardy,Robert C. Rogers Pdf

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Finite Difference Methods for Ordinary and Partial Differential Equations

Randall J. LeVeque
Finite Difference Methods for Ordinary and Partial Differential Equations Book PDF

Author : Randall J. LeVeque
Publisher : SIAM
Page : 356 pages
File Size : 43,5 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 0898717833

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Finite Difference Methods for Ordinary and Partial Differential Equations by Randall J. LeVeque Pdf

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.