Partial Differential Equations An Introduction With Mathematica And Maple 2nd Edition
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Author |
: Ioannis P. Stavroulakis |
Publisher |
: World Scientific |
Total Pages |
: 328 |
Release |
: 2004 |
ISBN-10 |
: 981238815X |
ISBN-13 |
: 9789812388155 |
Rating |
: 4/5 (5X Downloads) |
Synopsis Partial Differential Equations by : Ioannis P. Stavroulakis
This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.
Author |
: Ioannis P Stavroulakis |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 309 |
Release |
: 1999-12-13 |
ISBN-10 |
: 9789813105539 |
ISBN-13 |
: 9813105534 |
Rating |
: 4/5 (39 Downloads) |
Synopsis Partial Differential Equations: An Introduction With Matematica And Maple by : Ioannis P Stavroulakis
This textbook is a self-contained introduction to partial differential equations. It is designed for undergraduate and first year graduate students who are mathematics, physics, engineering or, in general, science majors. The goal is to give an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered. The material is illustrated with model examples. Mathematics software products such as Mathematica and Maple in ScientificWorkPlace are used in both graphical and computational aspects.
Author |
: Ioannis P Stavroulakis |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 319 |
Release |
: 2004-04-27 |
ISBN-10 |
: 9789813106307 |
ISBN-13 |
: 9813106301 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Partial Differential Equations: An Introduction With Mathematica And Maple (2nd Edition) by : Ioannis P Stavroulakis
This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.
Author |
: George A. Articolo |
Publisher |
: Academic Press |
Total Pages |
: 733 |
Release |
: 2009-03-23 |
ISBN-10 |
: 9780080885063 |
ISBN-13 |
: 0080885063 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Partial Differential Equations and Boundary Value Problems with Maple by : George A. Articolo
Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided. - Provides a quick overview of the software w/simple commands needed to get started - Includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations - Incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions - Numerous example problems and end of each chapter exercises
Author |
: Zhilin Li |
Publisher |
: World Scientific |
Total Pages |
: 218 |
Release |
: 2021-09-23 |
ISBN-10 |
: 9789811228643 |
ISBN-13 |
: 9811228647 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Introduction To Partial Differential Equations (With Maple), An: A Concise Course by : Zhilin Li
The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.
Author |
: Walter A. Strauss |
Publisher |
: John Wiley & Sons |
Total Pages |
: 467 |
Release |
: 2007-12-21 |
ISBN-10 |
: 9780470054567 |
ISBN-13 |
: 0470054565 |
Rating |
: 4/5 (67 Downloads) |
Synopsis Partial Differential Equations by : Walter A. Strauss
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 |
: Gerald B. Folland |
Publisher |
: Princeton University Press |
Total Pages |
: 340 |
Release |
: 2020-05-05 |
ISBN-10 |
: 9780691213033 |
ISBN-13 |
: 0691213038 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Introduction to Partial Differential Equations by : Gerald B. Folland
The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.
Author |
: Martin J. Gander |
Publisher |
: SIAM |
Total Pages |
: 163 |
Release |
: 2018-08-06 |
ISBN-10 |
: 9781611975314 |
ISBN-13 |
: 161197531X |
Rating |
: 4/5 (14 Downloads) |
Synopsis Numerical Analysis of Partial Differential Equations Using Maple and MATLAB by : Martin J. Gander
This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers.? Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB? code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete. This book is intended for advanced undergraduate and early graduate students in numerical analysis and scientific computing and researchers in related fields. It is appropriate for a course on numerical methods for partial differential equations.
Author |
: Erich Zauderer |
Publisher |
: John Wiley & Sons |
Total Pages |
: 968 |
Release |
: 2011-10-24 |
ISBN-10 |
: 9781118031407 |
ISBN-13 |
: 1118031407 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Partial Differential Equations of Applied Mathematics by : Erich Zauderer
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.
Author |
: Martha L. Abell |
Publisher |
: Academic Press |
Total Pages |
: 740 |
Release |
: 2000 |
ISBN-10 |
: 0120415607 |
ISBN-13 |
: 9780120415601 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Differential Equations with Maple V by : Martha L. Abell
Through the use of numerous examples that illustrate how to solve important applications using Maple V, Release 2, this book provides readers with a solid, hands-on introduction to ordinary and partial differental equations. Includes complete coverage of constructing and numerically computing and approximating solutions to ordinary and partial equations.