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Zusatztext ?this book provides useful background knowledge for graduate study in any area of applied mathematics ? this is a thorough! well-written treatment of an important subject.-Computing Reviews! May 2010 Informationen zum 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. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis Mathematical Review and Computer Arithmetic. Numerical Solution of Nonlinear Equations of One Variable. Numerical Linear Algebra. Approximation Theory. Eigenvalue-Eigenvector Computation. Numerical Differentiation and Integration. Initial Value Problems for Ordinary Differential Equations. Numerical Solution of Systems of Nonlinear Equations. Optimization. Boundary Value Problems and Integral Equations. Appendix. References. Index. ...
