Numerical Partial Differential Equations Finite Difference Methods [Paperback]

What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing students to utilize it as much as possible.

Introduction to Finite Difference.- Some Theoretical Considerations.- Stability.- Parabolic Equations.- Hyperbolic Equations.- Systems of Partial Differential Equations.- Dispersion and Dissipation.- References.- Index. This important volume is the first part of a two-part textbook (the second part is entitled Conservation laws and elliptic equations). The text includes interesting homework problems that implement different aspects of most of the schemes discussed. The implementation aspect of this text includes a large amount of computing. Other useful aspects of computing included in this volume are symbolic computing and the use of graphics for analysis. Prerequisites suggested for using this book might include one semester of partial differential equations and some programming capability. This book will be a good reference text for students. -- MATHEMATICAL REVIEWSWhat makes Thomas' book stand out from the competition is his book is more computational. Thus, once done with both volumes, the reader will have the tools to attack a wider variety of problems than those worked out in the competitors' books. 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. Prerequisites suggested but not required for using this book in a course include at least one semester of partial differential equations and some programming capability. This book will also be a strong long-term reference book.Springer Book Archivel3U