This is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. The book presents many techniques for the efficient numerical solution of problems in science and engineering. It develops students' understanding of the construction of numerical algorithms and the applicability of the methods. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation.
This is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. The book presents many techniques for the efficient numerical solution of problems in science and engineering. It develops students' understanding of the construction of numerical algorithms and the applicability of the methods. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Dr. Santanu Saha Ray is an associate professor in the Department of Mathematics at the National Institute of Technology in Rourkela, India. He is a member of the Society for Industrial and Applied Mathematics and the American Mathematical Society. He is also the editor-in-chief of the International Journal of Applied and Computational Mathematics and the author of numerous journal articles and two books: Graph Theory with Algorithms and Its Applications: In Applied Science and Technology and Fractional Calculus with Applications for Nuclear Reactor Dynamics. His research interests include fractional calculus, mathematical modeling, mathematical physics, stochastic modeling, integral equations, and wavelet transforms. Dr. Saha Ray earned his PhD from Jadavpur University.
Inhaltsangabe
Errors in Numerical Computations. Numerical Solutions of Algebraic and Transcendental Equations. Interpolation. Numerical Differentiation. Numerical Integration. Numerical Solution of System of Linear Algebraic Equations. Numerical Solutions of Ordinary Differential Equations. Matrix Eigenvalue Problem. Approximation of Functions. Numerical Solutions of Partial Differential Equations. An Introduction to the Finite Element Method. Bibliography. Answers. Index.
Errors in Numerical Computations. Numerical Solutions of Algebraic and Transcendental Equations. Interpolation. Numerical Differentiation. Numerical Integration. Numerical Solution of System of Linear Algebraic Equations. Numerical Solutions of Ordinary Differential Equations. Matrix Eigenvalue Problem. Approximation of Functions. Numerical Solutions of Partial Differential Equations. An Introduction to the Finite Element Method. Bibliography. Answers. Index.
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