Numerical Methods - A Personal Blog https://farid.partonia.ir/ en Numerical Methods - A Personal Blog[shortrss] Applied Numerical Analysis - F.Gerald O. Wheatley https://farid.partonia.ir/index.php?newsid=8 https://farid.partonia.ir/index.php?newsid=8

This book is profoundly helpful in the case that you want to commence realizing how to apply mathematics in real-world problems; moreover, it is a general book since it only includes the algorithm pseudo-code.

By and large, this is old but gold, do not miss reading this book if you are passionate about mathematics and programming.

The list of contents and download links are available on the full article.

 [allow-turbo]Table of Contents:

Analysis Versus Numerical Analysis

  • Computers and Numerical Analysis
  • An Illustrative Example
  • Kinds of Errors in Numerical Procedures
  • Interval Arithmetic
  • Parallel and Distributed Computing
  • Measuring the Efficiency of Numerical Procedures
  • Exercises
  • Applied Problems and Projects

Solving Nonlinear Equations

  • Interval Halving (Bisection)
  • Linear Interpolation Methods
  • Newton's Method
  • Muller's Method
  • Fixed-Point Iteration: x = g(x) Method
  • Multiple Roots
  • Nonlinear Systems
  • Exercises
  • Applied Problems and Projects

Solving Sets of Equations

  • Matrices and Vectors
  • Elimination Methods
  • The Inverse of a Matrix and Matrix Pathology
  • Ill-Conditioned Systems
  • Iterative Methods
  • Parallel Processing
  • Exercises
  • Applied Problems and Projects

Interpolation and Curve Fitting

  • Interpolating Polynomials
  • Divided Differences
  • Spline Curves
  • Bezier Curves and B-Splines Curves
  • Interpolating on a Surface
  • Least-Squares Approximations
  • Exercises
  • Applied Problems and Projects

Approximation of Functions

  • Chebyshev Polynomials and Chebyshev Series
  • Rational Function Approximations
  • Fourier Series
  • Exercises
  • Applied Problems and Projects

Numerical Differentiation and Integration

  • Differentiation with a Computer
  • Numerical Integration-The Trapezoidal Rule
  • Simpson's Rules
  • An Application of Numerical Integration-Fourier Series and Fourier Transforms
  • Adaptive Integration
  • Gaussian Quadrature
  • Multiple Integrals
  • Applications of Cubic Splines
  • Exercises
  • Applied Problems and Projects

Numerical Solution of Ordinary

  • Differential Equations
  • The Taylor-Series Method
  • The Euler Method and Its Modifications
  • Runge-Kutta Methods
  • Multistep Methods
  • Higher-Order Equations and Systems
  • Stiff Equations
  • Boundary-Value Problems
  • Characteristic-Value Problems
  • Exercises
  • Applied Problems and Projects

Optimization

  • Finding the Minimum of y = f(x)
  • Minimizing a Function of Several Variables
  • Linear Programming
  • Nonlinear Programming
  • Other Optimizations
  • Exercises
  • Applied Problems and Projects

Partial-Differential Equations

  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations
  • Exercises
  • Applied Problems and Projects

Finite Element Analysis

  • Mathematical Background
  • Finite Elements for Ordinary-Differential Equations
  • Finite Elements for Partial-Differential Equations
  • Exercises
  • Applied Problems and Projects

Appendixes

  • A Some Basic Information from Calculus
  • B Software Resources
  • Answers to Selected Exercises
  • References

Click to Download 7th Edition with corresponding manual

]]>[/allow-turbo] Numerical Methods FariD Sat, 07 Aug 2021 21:17:27 +0430 [/shortrss] [fullrss] Applied Numerical Analysis - F.Gerald O. Wheatley https://farid.partonia.ir/index.php?newsid=8 https://farid.partonia.ir/index.php?newsid=8 FariD Sat, 07 Aug 2021 21:17:27 +0430 This book is profoundly helpful in the case that you want to commence realizing how to apply mathematics in real-world problems; moreover, it is a general book since it only includes the algorithm pseudo-code.

By and large, this is old but gold, do not miss reading this book if you are passionate about mathematics and programming.

The list of contents and download links are available on the full article.

]]> [allow-turbo]Table of Contents:

Analysis Versus Numerical Analysis

  • Computers and Numerical Analysis
  • An Illustrative Example
  • Kinds of Errors in Numerical Procedures
  • Interval Arithmetic
  • Parallel and Distributed Computing
  • Measuring the Efficiency of Numerical Procedures
  • Exercises
  • Applied Problems and Projects

Solving Nonlinear Equations

  • Interval Halving (Bisection)
  • Linear Interpolation Methods
  • Newton's Method
  • Muller's Method
  • Fixed-Point Iteration: x = g(x) Method
  • Multiple Roots
  • Nonlinear Systems
  • Exercises
  • Applied Problems and Projects

Solving Sets of Equations

  • Matrices and Vectors
  • Elimination Methods
  • The Inverse of a Matrix and Matrix Pathology
  • Ill-Conditioned Systems
  • Iterative Methods
  • Parallel Processing
  • Exercises
  • Applied Problems and Projects

Interpolation and Curve Fitting

  • Interpolating Polynomials
  • Divided Differences
  • Spline Curves
  • Bezier Curves and B-Splines Curves
  • Interpolating on a Surface
  • Least-Squares Approximations
  • Exercises
  • Applied Problems and Projects

Approximation of Functions

  • Chebyshev Polynomials and Chebyshev Series
  • Rational Function Approximations
  • Fourier Series
  • Exercises
  • Applied Problems and Projects

Numerical Differentiation and Integration

  • Differentiation with a Computer
  • Numerical Integration-The Trapezoidal Rule
  • Simpson's Rules
  • An Application of Numerical Integration-Fourier Series and Fourier Transforms
  • Adaptive Integration
  • Gaussian Quadrature
  • Multiple Integrals
  • Applications of Cubic Splines
  • Exercises
  • Applied Problems and Projects

Numerical Solution of Ordinary

  • Differential Equations
  • The Taylor-Series Method
  • The Euler Method and Its Modifications
  • Runge-Kutta Methods
  • Multistep Methods
  • Higher-Order Equations and Systems
  • Stiff Equations
  • Boundary-Value Problems
  • Characteristic-Value Problems
  • Exercises
  • Applied Problems and Projects

Optimization

  • Finding the Minimum of y = f(x)
  • Minimizing a Function of Several Variables
  • Linear Programming
  • Nonlinear Programming
  • Other Optimizations
  • Exercises
  • Applied Problems and Projects

Partial-Differential Equations

  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations
  • Exercises
  • Applied Problems and Projects

Finite Element Analysis

  • Mathematical Background
  • Finite Elements for Ordinary-Differential Equations
  • Finite Elements for Partial-Differential Equations
  • Exercises
  • Applied Problems and Projects

Appendixes

  • A Some Basic Information from Calculus
  • B Software Resources
  • Answers to Selected Exercises
  • References

Click to Download 7th Edition with corresponding manual

]]>[/allow-turbo] [allow-dzen]Table of Contents:

Analysis Versus Numerical Analysis

  • Computers and Numerical Analysis
  • An Illustrative Example
  • Kinds of Errors in Numerical Procedures
  • Interval Arithmetic
  • Parallel and Distributed Computing
  • Measuring the Efficiency of Numerical Procedures
  • Exercises
  • Applied Problems and Projects

Solving Nonlinear Equations

  • Interval Halving (Bisection)
  • Linear Interpolation Methods
  • Newton's Method
  • Muller's Method
  • Fixed-Point Iteration: x = g(x) Method
  • Multiple Roots
  • Nonlinear Systems
  • Exercises
  • Applied Problems and Projects

Solving Sets of Equations

  • Matrices and Vectors
  • Elimination Methods
  • The Inverse of a Matrix and Matrix Pathology
  • Ill-Conditioned Systems
  • Iterative Methods
  • Parallel Processing
  • Exercises
  • Applied Problems and Projects

Interpolation and Curve Fitting

  • Interpolating Polynomials
  • Divided Differences
  • Spline Curves
  • Bezier Curves and B-Splines Curves
  • Interpolating on a Surface
  • Least-Squares Approximations
  • Exercises
  • Applied Problems and Projects

Approximation of Functions

  • Chebyshev Polynomials and Chebyshev Series
  • Rational Function Approximations
  • Fourier Series
  • Exercises
  • Applied Problems and Projects

Numerical Differentiation and Integration

  • Differentiation with a Computer
  • Numerical Integration-The Trapezoidal Rule
  • Simpson's Rules
  • An Application of Numerical Integration-Fourier Series and Fourier Transforms
  • Adaptive Integration
  • Gaussian Quadrature
  • Multiple Integrals
  • Applications of Cubic Splines
  • Exercises
  • Applied Problems and Projects

Numerical Solution of Ordinary

  • Differential Equations
  • The Taylor-Series Method
  • The Euler Method and Its Modifications
  • Runge-Kutta Methods
  • Multistep Methods
  • Higher-Order Equations and Systems
  • Stiff Equations
  • Boundary-Value Problems
  • Characteristic-Value Problems
  • Exercises
  • Applied Problems and Projects

Optimization

  • Finding the Minimum of y = f(x)
  • Minimizing a Function of Several Variables
  • Linear Programming
  • Nonlinear Programming
  • Other Optimizations
  • Exercises
  • Applied Problems and Projects

Partial-Differential Equations

  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations
  • Exercises
  • Applied Problems and Projects

Finite Element Analysis

  • Mathematical Background
  • Finite Elements for Ordinary-Differential Equations
  • Finite Elements for Partial-Differential Equations
  • Exercises
  • Applied Problems and Projects

Appendixes

  • A Some Basic Information from Calculus
  • B Software Resources
  • Answers to Selected Exercises
  • References

Click to Download 7th Edition with corresponding manual

]]>[/allow-dzen] [/fullrss] [yandexrss] Applied Numerical Analysis - F.Gerald O. Wheatley https://farid.partonia.ir/index.php?newsid=8

This book is profoundly helpful in the case that you want to commence realizing how to apply mathematics in real-world problems; moreover, it is a general book since it only includes the algorithm pseudo-code.

By and large, this is old but gold, do not miss reading this book if you are passionate about mathematics and programming.

The list of contents and download links are available on the full article.

 Numerical Methods Sat, 07 Aug 2021 21:17:27 +0430

Table of Contents:

Analysis Versus Numerical Analysis

  • Computers and Numerical Analysis
  • An Illustrative Example
  • Kinds of Errors in Numerical Procedures
  • Interval Arithmetic
  • Parallel and Distributed Computing
  • Measuring the Efficiency of Numerical Procedures
  • Exercises
  • Applied Problems and Projects

Solving Nonlinear Equations

  • Interval Halving (Bisection)
  • Linear Interpolation Methods
  • Newton's Method
  • Muller's Method
  • Fixed-Point Iteration: x = g(x) Method
  • Multiple Roots
  • Nonlinear Systems
  • Exercises
  • Applied Problems and Projects

Solving Sets of Equations

  • Matrices and Vectors
  • Elimination Methods
  • The Inverse of a Matrix and Matrix Pathology
  • Ill-Conditioned Systems
  • Iterative Methods
  • Parallel Processing
  • Exercises
  • Applied Problems and Projects

Interpolation and Curve Fitting

  • Interpolating Polynomials
  • Divided Differences
  • Spline Curves
  • Bezier Curves and B-Splines Curves
  • Interpolating on a Surface
  • Least-Squares Approximations
  • Exercises
  • Applied Problems and Projects

Approximation of Functions

  • Chebyshev Polynomials and Chebyshev Series
  • Rational Function Approximations
  • Fourier Series
  • Exercises
  • Applied Problems and Projects

Numerical Differentiation and Integration

  • Differentiation with a Computer
  • Numerical Integration-The Trapezoidal Rule
  • Simpson's Rules
  • An Application of Numerical Integration-Fourier Series and Fourier Transforms
  • Adaptive Integration
  • Gaussian Quadrature
  • Multiple Integrals
  • Applications of Cubic Splines
  • Exercises
  • Applied Problems and Projects

Numerical Solution of Ordinary

  • Differential Equations
  • The Taylor-Series Method
  • The Euler Method and Its Modifications
  • Runge-Kutta Methods
  • Multistep Methods
  • Higher-Order Equations and Systems
  • Stiff Equations
  • Boundary-Value Problems
  • Characteristic-Value Problems
  • Exercises
  • Applied Problems and Projects

Optimization

  • Finding the Minimum of y = f(x)
  • Minimizing a Function of Several Variables
  • Linear Programming
  • Nonlinear Programming
  • Other Optimizations
  • Exercises
  • Applied Problems and Projects

Partial-Differential Equations

  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations
  • Exercises
  • Applied Problems and Projects

Finite Element Analysis

  • Mathematical Background
  • Finite Elements for Ordinary-Differential Equations
  • Finite Elements for Partial-Differential Equations
  • Exercises
  • Applied Problems and Projects

Appendixes

  • A Some Basic Information from Calculus
  • B Software Resources
  • Answers to Selected Exercises
  • References

Click to Download 7th Edition with corresponding manual

 [allow-turbo]Table of Contents:

Analysis Versus Numerical Analysis

  • Computers and Numerical Analysis
  • An Illustrative Example
  • Kinds of Errors in Numerical Procedures
  • Interval Arithmetic
  • Parallel and Distributed Computing
  • Measuring the Efficiency of Numerical Procedures
  • Exercises
  • Applied Problems and Projects

Solving Nonlinear Equations

  • Interval Halving (Bisection)
  • Linear Interpolation Methods
  • Newton's Method
  • Muller's Method
  • Fixed-Point Iteration: x = g(x) Method
  • Multiple Roots
  • Nonlinear Systems
  • Exercises
  • Applied Problems and Projects

Solving Sets of Equations

  • Matrices and Vectors
  • Elimination Methods
  • The Inverse of a Matrix and Matrix Pathology
  • Ill-Conditioned Systems
  • Iterative Methods
  • Parallel Processing
  • Exercises
  • Applied Problems and Projects

Interpolation and Curve Fitting

  • Interpolating Polynomials
  • Divided Differences
  • Spline Curves
  • Bezier Curves and B-Splines Curves
  • Interpolating on a Surface
  • Least-Squares Approximations
  • Exercises
  • Applied Problems and Projects

Approximation of Functions

  • Chebyshev Polynomials and Chebyshev Series
  • Rational Function Approximations
  • Fourier Series
  • Exercises
  • Applied Problems and Projects

Numerical Differentiation and Integration

  • Differentiation with a Computer
  • Numerical Integration-The Trapezoidal Rule
  • Simpson's Rules
  • An Application of Numerical Integration-Fourier Series and Fourier Transforms
  • Adaptive Integration
  • Gaussian Quadrature
  • Multiple Integrals
  • Applications of Cubic Splines
  • Exercises
  • Applied Problems and Projects

Numerical Solution of Ordinary

  • Differential Equations
  • The Taylor-Series Method
  • The Euler Method and Its Modifications
  • Runge-Kutta Methods
  • Multistep Methods
  • Higher-Order Equations and Systems
  • Stiff Equations
  • Boundary-Value Problems
  • Characteristic-Value Problems
  • Exercises
  • Applied Problems and Projects

Optimization

  • Finding the Minimum of y = f(x)
  • Minimizing a Function of Several Variables
  • Linear Programming
  • Nonlinear Programming
  • Other Optimizations
  • Exercises
  • Applied Problems and Projects

Partial-Differential Equations

  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations
  • Exercises
  • Applied Problems and Projects

Finite Element Analysis

  • Mathematical Background
  • Finite Elements for Ordinary-Differential Equations
  • Finite Elements for Partial-Differential Equations
  • Exercises
  • Applied Problems and Projects

Appendixes

  • A Some Basic Information from Calculus
  • B Software Resources
  • Answers to Selected Exercises
  • References

Click to Download 7th Edition with corresponding manual

]]>[/allow-turbo] [allow-dzen]Table of Contents:

Analysis Versus Numerical Analysis

  • Computers and Numerical Analysis
  • An Illustrative Example
  • Kinds of Errors in Numerical Procedures
  • Interval Arithmetic
  • Parallel and Distributed Computing
  • Measuring the Efficiency of Numerical Procedures
  • Exercises
  • Applied Problems and Projects

Solving Nonlinear Equations

  • Interval Halving (Bisection)
  • Linear Interpolation Methods
  • Newton's Method
  • Muller's Method
  • Fixed-Point Iteration: x = g(x) Method
  • Multiple Roots
  • Nonlinear Systems
  • Exercises
  • Applied Problems and Projects

Solving Sets of Equations

  • Matrices and Vectors
  • Elimination Methods
  • The Inverse of a Matrix and Matrix Pathology
  • Ill-Conditioned Systems
  • Iterative Methods
  • Parallel Processing
  • Exercises
  • Applied Problems and Projects

Interpolation and Curve Fitting

  • Interpolating Polynomials
  • Divided Differences
  • Spline Curves
  • Bezier Curves and B-Splines Curves
  • Interpolating on a Surface
  • Least-Squares Approximations
  • Exercises
  • Applied Problems and Projects

Approximation of Functions

  • Chebyshev Polynomials and Chebyshev Series
  • Rational Function Approximations
  • Fourier Series
  • Exercises
  • Applied Problems and Projects

Numerical Differentiation and Integration

  • Differentiation with a Computer
  • Numerical Integration-The Trapezoidal Rule
  • Simpson's Rules
  • An Application of Numerical Integration-Fourier Series and Fourier Transforms
  • Adaptive Integration
  • Gaussian Quadrature
  • Multiple Integrals
  • Applications of Cubic Splines
  • Exercises
  • Applied Problems and Projects

Numerical Solution of Ordinary

  • Differential Equations
  • The Taylor-Series Method
  • The Euler Method and Its Modifications
  • Runge-Kutta Methods
  • Multistep Methods
  • Higher-Order Equations and Systems
  • Stiff Equations
  • Boundary-Value Problems
  • Characteristic-Value Problems
  • Exercises
  • Applied Problems and Projects

Optimization

  • Finding the Minimum of y = f(x)
  • Minimizing a Function of Several Variables
  • Linear Programming
  • Nonlinear Programming
  • Other Optimizations
  • Exercises
  • Applied Problems and Projects

Partial-Differential Equations

  • Elliptic Equations
  • Parabolic Equations
  • Hyperbolic Equations
  • Exercises
  • Applied Problems and Projects

Finite Element Analysis

  • Mathematical Background
  • Finite Elements for Ordinary-Differential Equations
  • Finite Elements for Partial-Differential Equations
  • Exercises
  • Applied Problems and Projects

Appendixes

  • A Some Basic Information from Calculus
  • B Software Resources
  • Answers to Selected Exercises
  • References

Click to Download 7th Edition with corresponding manual

]]>[/allow-dzen] [/yandexrss]