Classical and Modern Numerical Analysis (Hardcover)

Azmy S. Ackleh

ISBN 10: 1420091573 / ISBN 13: 9781420091571

Verlag: Taylor & Francis Ltd, 2009

Beschreibung

Hardcover. Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis. The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ordinary differential equations, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter. This advanced, graduate-level introduction to the theory and methods of numerical analysis supplies the necessary background in numerical methods so that students can apply the techniques and understand the mathematical literature in this area.Although the book is independent of a specific computer program, MATLAB(R) code is available on the authors' website to illustrate various concepts. Provides a foundation in numerical analysis for such topics as - finite element theory, advanced numerical linear algebra, and optimization. This book covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, numerical integration, and boundary value problems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Bestandsnummer des Verkäufers 9781420091571

Bibliografische Details

• Titel: Classical and Modern Numerical Analysis (Hardcover)
• Verlag: Taylor & Francis Ltd
• Erscheinungsjahr: 2009
• Sprache: Englisch
• ISBN-10: 1420091573
• ISBN-13: 9781420091571
• Einband: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

Helping readers prepare for doctoral examinations in numerical analysis, this graduate-level text provides a sound introduction to the theory and application of computational methods for applied mathematics problems. It also assists readers in understanding the mathematical literature in this area. The authors present the most important advanced aspects of numerical linear algebra, finite element theory, approximation theory, optimization, and integral equations. They also cover interval computation methods in numerical analysis and include fully worked out solutions for selected problems. A solutions manual is available upon qualifying course adoption.

Über die Autorin bzw. den Autor

Azmy S. Ackleh is Dr. Ray P. Authement/BORSF Eminent Scholar Endowed Chair in Computational Mathematics at the University of Louisiana. Dr. Ackleh has more than fifteen years experience in mathematical biology with an emphasis on the long-time behavior of discrete and continuous population models and numerical methods for structured-population models.

Edward James Allen is a professor of mathematics at Texas Tech University. Dr. Allen works primarily on the derivation and computation of stochastic differential equation models in biology and physics and on the development and analysis of numerical methods for problems in neutron transport.

R. Baker Kearfott is a professor of mathematics at the University of Louisiana, with over thirty years experience teaching numerical analysis. Dr. Kearfott’s research focuses on nonlinear equations, nonlinear optimization, and mathematically rigorous numerical analysis.

Padmanabhan Seshaiyer is an associate professor of mathematical sciences at George Mason University. Dr. Seshaiyer has done extensive work on the theoretical and computational aspects of finite element methods and applications of numerical methods to biological and bio-inspired problems.