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Numerical methods : design, analysis and computer implementation of algorithms / Anne Greenbaum and Timothy P. Chartier

By: Contributor(s): Material type: TextTextPublication details: New Jersey : Princeton University Press, c2012Description: xiv, 454 pages : illustrations ; 26 cmISBN:
  • 9780691151229
Subject(s): LOC classification:
  • QA 297 .G74 2012
Contents:
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
Summary: 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.
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Books Books National University - Manila LRC - Graduate Studies General Circulation Master of Science in Computer Science GC QA 297 .G74 2012 (Browse shelf(Opens below)) c.1 Available NULIB000014068
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GC QA 76.9.D343 .N57 2018 Handbook of statistical analysis and data mining applications / GC QA 297 .G74 2012 Numerical methods : design, analysis and computer implementation of algorithms / GC RC 78.7 .C55 2014 Clinical decision support : the road to broad adoption / GC TK 7868.D5 .H37 2013 c.3 Digital design and computer architecture /

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.

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