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Applied Numerical Methods: An Introduction
by Amaleswari, P
$16.05
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Description
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.
- 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.
- 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.
- 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.
- 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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Product Details
- Nov 4, 2024 Pub Date:
- 9798345471111 ISBN-10:
- 9798345471111 ISBN-13:
- English Language
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