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Partial Differential Equations for Scientists and Engineers
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Stanley J Farlow
This text shows how to formulate and solve partial differential equations. Coverage includes diffusion-, hyperbolic-, and elliptic-type problems. Includes problems and solutions.
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Partial Differential Equations: An Introduction
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Walter A Strauss
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). This 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 ...
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Applied Partial Differential Equations
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George Beekman, Richard Haberman
Appropriate for an elementary or advanced undergraduate first course of varying lengths. Also appropriate for beginning graduate students. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics. Emphasizing the physical interpretation of mathematical solutions, this book introduces ...
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Partial Differential Equations
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Lawrence C. Evans
This text gives a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: representation formulas for solutions; theory for linear partial differential equations; and theory for nonlinear partial ...
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Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
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Richard Haberman
Appropriate for an elementary undergraduate first course of varying lengths. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics.Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential ...
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Practical Applied Mathematics: Modelling, Analysis, Approximation
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Sam Howison
Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential ...
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Schaum's Outline of Partial Differential Equations
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Paul DuChateau, D W Zachmann, DuChateau Paul
If you want top grades and thorough understanding of partial differential equations, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 290 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own ...
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A First Course in Partial Differential Equations with Complex Variables and Tran
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Hans F. Weinberger
Text presents the general properties of partial differential equations such as characteristics, domains of independence, and maximum principles. Solutions.
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Matrix Iterative Analysis
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Richard S Varga
This book is a revised version of the first edition, originally published by Prentice Hall in 1962 and regarded as a classic in its field. In some places, newer research results, e.g. results on weak regular splittings, have been incorported in the revision, and in other places, new material has been added in the chapters, as well as at the end of ...
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Partial differential equations
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by
Fritz John
Identifies significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. This book contains a chapter on Lewy's example of a linear equation without solutions.
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Introduction to partial differential equations with applications
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by
E C Zachmanoglou, Dale W Thoe (Photographer)
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
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Partial Differential Equations: Methods and Applications
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Robert C McOwen
For a one-year, graduate-level course in Partial Differential Equations.Designed to bridge the gap between introductory texts in partial differential equations and the current literature in research journals, this text introduces students to the basics of classical PDEs and to a wide variety of more modern methods--especially the use of functional ...
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Numerical methods for partial differential equations
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William F Ames
This work is designed as an introduction to the concepts of modern differential analysis applied to partial differential equations. It contains numerous practical problems/solutions. This third edition incorporates new material on boundary elements, spectral methods, the methods of lines and invariant methods. At the same time, the material on ...
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Partial differential equations
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Paul R Garabedian
This book is intended to fill the gap between the standard introductory material on partial differential equations: separation of variables, the basics of the second-order equations from mathematical physics and the advanced methods such as Sobolev spaces and fixed point theorems.
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Inverse Problems for Partial Differential Equations
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by
Victor Isakov
The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first ...
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Numerical Solution of Partial Differential Equations: An Introduction
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K W Morton, D F Mayers (Editor)
Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasise ...
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Partial Differential Equations
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by
Jurgen Jost
This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis ...
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Elements of Partial Differential Equations
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Ian Naismith Sneddon
This text features numerous worked examples in its presentation of elements from the theory of partial differential equations. It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.
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Introduction to Partial Differential Equations
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by
Donald Greenspan
Rigorous presentation, designed for use in a 1-semester course, explores basics; Fourier series; 2nd-order partial differential equations; wave, potential, and heat equations; approximate solution of partial differential equations, more. Exercises. 1961 edition.
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Maximum Principles in Differential Equations
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Murray H Protter, Hans F Weinberger
Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.
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Boundary Value Problems
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David L. Powers
Boundary Value Problems, Fourth Edition, continues to be the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough, theoretical overview of solving partial differential equations by the methods of separation of variables. The text is comprised of five comprehensive parts which include: a ...
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An Introduction to Partial Differential Equations
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Jacob Rubinstein, Yehuda Pinchover
A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties ...
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Numerical Solution of Partial Differential Equations by the Finite Element Method
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Claes Johnson
Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial differential equations. The bulk of the text focuses on linear problems, however a chapter extending the development of non-linear problems is also included, as is one on finite element methods for integral equations. Throughout ...
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A Practical Guide to Pseudospectral Methods
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Bengt Fornberg, M J Ablowitz (Editor), S H Davis (Editor)
Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas ...
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Introduction to Partial Differential Equations with MATLAB
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by
Jeffery Cooper
The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. "Introduction to Partial Differential Equations with MATLAB" is a careful integration of traditional core topics with modern topics, taking full advantage of the computational power of MATLAB to enhance the learning experience ...
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