Introduction to numerical analysis and scientific computing. ([2014])

• Record Type: Book
• Further Information: Note: Nabil Nassif, Dolly Khuwayri Fayyad.
• Authors: Nassif, Nabil; Fayyad, Dolly Khuwayri
• Contents: Computer Number Systems and Floating Point Arithmetic; Introduction; Conversion from Base 10 to Base 2; Conversion from Base 2 to Base 10; Normalized Floating Point Systems; Floating Point Operations; Computing in a Floating Point System Finding Roots of Real Single-Valued Functions ; Introduction; How to Locate the Roots of a Function; The Bisection Method; Newton's Method; The Secant Method Solving Systems of Linear Equations by Gaussian Elimination ; Mathematical Preliminaries; Computer Storage for Matrices. Data Structures; Back Substitution for Upper Triangular Systems; Gauss Reduction; LU Decomposition Polynomial Interpolation and Splines Fitting; Definition of Interpolation; General Lagrange Polynomial Interpolation; Recurrence Formulae; Equally Spaced Data: Difference Operators; Errors in Polynomial Interpolation; Local Interpolation: Spline Functions; Concluding Remarks Numerical Differentiation and Integration ; Introduction; Mathematical Prerequisites; Numerical Differentiation; Richardson extrapolation; Richardson Extrapolation in Numerical Differentiation; Numerical Integration; Romberg Integration; Appendix Advanced Numerical Integration ; Numerical Integration for Nonuniform Partitions; Numerical Integration of Functions of Two Variables; Monte Carlo Simulations for Numerical Quadrature Numerical Solutions of Ordinary Differential Equations (ODEs) ; Introduction; Analytic Solutions to ODE; Mathematical Settings for Numerical Solutions to ODEs; Explicit Runge-Kutta Schemes; Adams Multistep Methods; Multistep Backward Difference Formulae; Finite-Difference Approximation to a Two-Points Boundary Value Problem Bibliography Index Exercises and Computer Projects appear at the end of each chapter.
• Publisher Details: Boca Raton : CRC Press, Taylor & Francis Group
• Publication Date: 2014
• Copyright Date: 2014
• Extent: 1 online resource
• Subjects: 518; Numerical analysis -- Textbooks; Computer science -- Mathematics -- Textbooks; Computer science -- Mathematics; Numerical analysis; Electronic books; Textbooks
• Languages: English
• ISBNs: 9781466589490; 1466589493
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.