Numerical Partial Differential Equations, Softcover reprint of the original 1st ed. 1999
Conservation Laws and Elliptic Equations
Texts in Applied Mathematics Series, Vol. 33

Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a course with a large number of methods that provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation.
Prerequisites suggested for using this book in a course might include at least one semester of partial differential equations and some programming capability. The author stresses the use of technology throughout the text, allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized, and algebraic manipulators are used when convenient. This is the second volume of a two-part book.

Series Preface.- Preface.- Contents of Part I (published in separate volume): Finite Difference Methods.- Stability of Initial-Boundary-Value Schemes.- Conservation Laws.- Elliptic Equations.- Irregular Regions and Grids.- References.- Index.

Aim of book is to provide users with a theoretical yet practical knowledge * Applications especially relevant for those in applied mathematics/engineering * Provides a large number of methods, giving the reader a solid numerical experience * Numerical experimentation effectively extends many of the methods * The author stresses the use of technology throughout, assisting the reader in utilizing it as much as possible