Bibliography: p. 342-368.
|Statement||[by] Robert W. Carroll.|
|Series||Harper"s series in modern mathematics|
|LC Classifications||QA377 .C33|
|The Physical Object|
|Pagination||ix, 374 p.|
|Number of Pages||374|
|LC Control Number||69017108|
Abstract. After a brief presentation of the history of computing, and a discussion of the benefits of modeling and simulation, this chapter provides an overview of the key elements involved in the numerical solution of partial differential equations (PDEs). Get this from a library! Abstract methods in partial differential equations. [Robert W Carroll] -- Detailed and self-contained, this treatment is directed to graduate students with some previous exposure to classical partial differential equations. The author examines a variety of modern abstract. Detailed and self-contained, this treatment is directed to graduate students with some previous exposure to classical partial differential equations. The author examines a variety of modern abstract methods in partial differential equations, especially in the area of abstract evolution equations. Additional topics include the theory of nonlinear monotone operators applied to elliptic and. Abstract methods in partial differential equations. New York, Harper & Row  (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / .
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a computer model.A special case is ordinary differential equations (ODEs), which deal with functions of a single. used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ). Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven. theory of partial diﬀerential equations. A partial diﬀerential equation for. EXAMPLES 11 y y 0 x x y 1 0 1 x Figure Boundary value problem the unknown function u(x,y) is for example F(x,y,u,ux,uy,uxx,uxy,uyy) = 0, where the function F is given. This equation is of second Size: 1MB. Abstract Methods in Partial Differential Equations. by Robert W. Carroll. Dover Books on Mathematics. Share your thoughts Complete your review. Tell readers what you thought by rating and reviewing this book. Rate it * You Rated it *Brand: Dover Publications.
Analytical Solution Methods for Boundary Value Problems attempts to resolve this issue, using quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions of three-dimensional non-linear partial differential equations of the first and second order. The work does so. This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions. Partial differential equations also play a toward both their numerical analysis and the qualitative theory. This book provides an introduction to the basic properties of partial dif-ferential equations (PDEs) and to the techniques that have proved useful in After thinking about the meaning of a partial differential equation, we will File Size: 2MB. This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the.