Articles liés à APPLIED NUMERICAL METHODS: AN INTRODUCTION

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9798345471111: APPLIED NUMERICAL METHODS: AN INTRODUCTION

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.

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Pratyusha, Dr. N.; Amaleswari, Mrs. P.; Krishna Veni, Dr. B.; Bharath Kumar, Dr. P.
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Pratyusha, Dr. N.; Amaleswari, Mrs. P.; Krishna Veni, Dr. B.; Bharath Kumar, Dr. P.
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ISBN 13 : 9798345471111
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Pratyusha, Dr. N.; Amaleswari, Mrs. P.; Krishna Veni, Dr. B.; Bharath Kumar, Dr. P.
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Paperback. Etat : 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9798345471111

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P. Amaleswari
Edité par Independently Published, 2024
ISBN 13 : 9798345471111
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Paperback. Etat : 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9798345471111

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