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Numerical Analysis with Algorithms and Programming

Santanu Saha Ray
€173.60
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advanced mathematical algorithms
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Algorithms of computation
Alternating Direction Implicit Method
applied numerical modeling
Approximation
Author_Santanu Saha Ray
automatic-update
boundary value problems
Category1=Non-Fiction
Category=PBKS
Category=UMB
computational mathematics
COP=United States
Cubic B-spline
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eigenvalue problems
engineering computation
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eq_computing
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error analysis methods
Euler Lagrange Equation
Finite Difference Methods
Finite Element Approximation
Finite Element Basis Functions
Finite Element Method
Floating Point
Galerkin Method
Inherent Error
Interpolation
Language_English
Lin Ear
linear equations
Maximum Absolute Error
Maximum Relative Change
Nonzero Digit
numerical algorithms
Numerical computation
Numerical differentiation
Numerical integration
numerical methods for scientific research
Numerical Solutions
Ordinary Differential Equations
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partial Differential Equations
Piecewise Linear
Piecewise Linear Basis Function
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Rayleigh Ritz Method
Root finding
Santanu Saha Ray
scientific programming techniques
Single Precision Floating Point Format
softlaunch
Truncation Error
Truncation Error Estimate

Product details

  • ISBN 9781498741743
  • Weight: 1384g
  • Dimensions: 178 x 254mm
  • Publication Date: 17 May 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Description

Numerical Analysis with Algorithms and Programming is 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.
About Santanu Saha Ray

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.

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