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.
- 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.
"synopsis" may belong to another edition of this title.
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APPLIED NUMERICAL METHODS: AN INTRODUCTION
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Applied Numerical Methods
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Applied Numerical Methods (Paperback)
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Paperback. Condition: new. Paperback. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9798345471111
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