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Applied Numerical Methods: An Introduction by P. Amaleswari

Applied Numerical Methods: An Introduction

by P. Amaleswari
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Book cover type: Paperback
  • ISBN13: 9798345471111
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Publication Date:
  • Pages: 318
  • Original Price: GBP 15.44
  • Language: English
  • Edition: N/A
  • Item Weight: 554 grams
  • BISAC Subject(s): Differential Equations / General

1. Algebraic and Transcendental Equations

  • Overview: This section introduces methods for solving algebraic and transcendental equations.
  • Key Topics:
    • Iteration, Secant, Newton-Raphson, and Regula-Falsi Methods: Methods for iterative solutions.
    • Error Analysis: Discusses errors in numerical calculations.
    • Bisection Method: A root-finding method for continuous functions.
2. System of Linear Equations and Eigenvalue Problems
  • Overview: Focuses on solving systems of linear equations and eigenvalue problems.
  • Key Topics:
    • Solving Linear Equations: Gauss-Seidel iteration and LU-Decomposition.
    • Special Matrices: Tridiagonal systems and the Thomas algorithm.
    • Eigenvalue/Eigenvector Computation: Jacobi and Power methods for eigenvalues.
3. Interpolation
  • Overview: Explains interpolation techniques for estimating unknown values.
  • Key Topics:
    • Newton's Interpolation: Forward and backward interpolation formulas.
    • Other Formulas: Central difference, Lagrange, and divided difference formulas.
    • Spline Interpolation: Linear and cubic spline methods.
4. Numerical Differentiation and Integration
  • Overview: Covers techniques for differentiation and integration of tabulated functions.
  • Key Topics:
    • Numerical Differentiation: Derivatives from discrete data.
    • Numerical Integration: Newton-Cotes, Romberg's method, and Gaussian integer methods.
5. Numerical Solution of Ordinary Differential Equations
  • Overview: Methods for solving ODEs numerically.
  • Key Topics:
    • Runge-Kutta Methods: For initial value problems.
    • Predictor-Corrector Methods: Including Adams-Bashforth-Moulton.
    • Gaussian Quadrature: For integral approximation within ODE solutions.

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