Numerical methods : design, analysis and computer implementation of algorithms /
Greenbaum, Anne.
Numerical methods : design, analysis and computer implementation of algorithms / Anne Greenbaum and Timothy P. Chartier - New Jersey : Princeton University Press, c2012 - xiv, 454 pages : illustrations ; 26 cm.
Includes bibliographical references and index.
1. Mathematical modeling -- 2. Basic operations with MATLAB -- 3. Monte Carlo methods -- 4. Solution of a single nonlinear equation in one unknown -- 5. Floating-point arithmetic -- 6. Conditioning of problems : stability of algorithms -- 7. Direct methods for solving linear systems and least squares problem -- 8. Polynomial and piecewise polynomial interpolation -- 9. Numerical differentiation and Richardson extrapolation -- 10. Numerical integration -- 11. Numerical solution of the initial value problem for ordinary differential equations -- 12. More numerical linear algebra : Eigenvalues and iterative methods for solving linear systems -- 13. Numerical solution of two-point boundary value problems -- 14. Numerical solution of partial differential equations
Provides an exploration of standard numerical analysis topics, as well as non-traditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. This textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering.
9780691151229
NUMERICAL METHODS
QA 297 .G74 2012
Numerical methods : design, analysis and computer implementation of algorithms / Anne Greenbaum and Timothy P. Chartier - New Jersey : Princeton University Press, c2012 - xiv, 454 pages : illustrations ; 26 cm.
Includes bibliographical references and index.
1. Mathematical modeling -- 2. Basic operations with MATLAB -- 3. Monte Carlo methods -- 4. Solution of a single nonlinear equation in one unknown -- 5. Floating-point arithmetic -- 6. Conditioning of problems : stability of algorithms -- 7. Direct methods for solving linear systems and least squares problem -- 8. Polynomial and piecewise polynomial interpolation -- 9. Numerical differentiation and Richardson extrapolation -- 10. Numerical integration -- 11. Numerical solution of the initial value problem for ordinary differential equations -- 12. More numerical linear algebra : Eigenvalues and iterative methods for solving linear systems -- 13. Numerical solution of two-point boundary value problems -- 14. Numerical solution of partial differential equations
Provides an exploration of standard numerical analysis topics, as well as non-traditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. This textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering.
9780691151229
NUMERICAL METHODS
QA 297 .G74 2012