Ebook Numerical Analysis with Algorithms and Programming in DOC, DJV
9781498741743 English 1498741746 Numerical Analysis with Algorithms and Programmingis the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica ®programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines The solution of systems of linear equations and triangularization Approximation of functions and least square approximation Numerical differentiation and divided differences Numerical quadrature and integration Numerical solutions of ordinary differential equations (ODEs) and boundary value problems Numerical solution of partial differential equations (PDEs) The text develops students' understanding of the construction of numerical algorithms and the applicability of the methods. By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems., This book analyzes the basic techniques involved in providing efficient numerical solutions to problems in science and engineering and focuses on the development of numerical algorithms and detailed analysis of different numerical methods. While developing the basic understanding for the construction of numerical algorithms, it also emphasizes the applicability of these methods and explains the guaranteed accuracy that various methods provide for the efficiency and scalability of large-scale systems. In addition, it contains exercises, examples, and algorithms used for preparing computer programs in Mathematica(r).
9781498741743 English 1498741746 Numerical Analysis with Algorithms and Programmingis the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica ®programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines The solution of systems of linear equations and triangularization Approximation of functions and least square approximation Numerical differentiation and divided differences Numerical quadrature and integration Numerical solutions of ordinary differential equations (ODEs) and boundary value problems Numerical solution of partial differential equations (PDEs) The text develops students' understanding of the construction of numerical algorithms and the applicability of the methods. By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems., This book analyzes the basic techniques involved in providing efficient numerical solutions to problems in science and engineering and focuses on the development of numerical algorithms and detailed analysis of different numerical methods. While developing the basic understanding for the construction of numerical algorithms, it also emphasizes the applicability of these methods and explains the guaranteed accuracy that various methods provide for the efficiency and scalability of large-scale systems. In addition, it contains exercises, examples, and algorithms used for preparing computer programs in Mathematica(r).