APPLIED NUMERICAL METHODS: AN INTRODUCTION - Couverture souple

Pratyusha, Dr. N.; Amaleswari, Mrs. P.; Krishna Veni, Dr. B.; Bharath Kumar, Dr. P.

 
9798345471111: APPLIED NUMERICAL METHODS: AN INTRODUCTION
Couverture souple
ISBN 13 : 9798345471111
Editeur : Independently published, 2024

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Independently published
Date d'édition
2024
Langue
anglais
ISBN 13 
9798345471111
Reliure
Broché
Nombre de pages
316
Coordonnées du fabricant
Manufactured by Amazon on behalf of the author
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