Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations

ISBN-13: 9780387983462 / Angielski / Twarda / 1999 / 556 str.

J. W. Thomas

Opis

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.

Spis treści

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.

O autorze

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. This is the second volume of a two-part book. The first part is entitled, Numerical Partial Differential Equations: Finite Difference Methods (TAM 22).