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  • 8.03: Runge-Kutta 2nd-Order Method for Solving Ordinary Differential Equations
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/8%3A_Ordinary_Differential_Equations/8.03%3A_Runge-Kutta_2nd-Order_Method_for_Solving_Ordinary_Differential_Equations
    Theory, application, and derivation of the Runge-Kutta second-order method for solving ordinary differential equations
  • 1.03: Sources of Error
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/1%3A_Introduction/1.03%3A_Sources_of_Error
    Discussion of round-off and truncation errors, how they arise, and examples of the problems they can create.
  • 7.00: Physical Problems for Integration
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/7%3A_Integration/7.00%3A_Physical_Problems_for_Integration
    Examples of engineering problems whose solutions require integration.
  • Back Matter
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/zz%3A_Back_Matter
  • 7.01: Prerequisites to Numerical Integration
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/7%3A_Integration/7.01%3A_Prerequisites_to_Numerical_Integration
    Definition of integrals. Using Riemann sums to approximate the value of integrals, and finding the exact value for some basic integrals.
  • 5: Interpolation
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/5%3A_Interpolation
    Examples of problems that can be solved by interpolation. Prerequisites for interpolation. Direct and spline methods of interpolation.
  • 3.01: Prerequisites to Numerical Methods for Solving Nonlinear Equations
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/3%3A_Nonlinear_Equations/3.01%3A_Prerequisites_to_Numerical_Methods_for_Solving_Nonlinear_Equations
    Review of how to solve quadratic equations.
  • 3.00: Physical Problems for Nonlinear Equations
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/3%3A_Nonlinear_Equations/3.00%3A_Physical_Problems_for_Nonlinear_Equations
    Examples of engineering problems that require the solution of nonlinear equations.
  • 7: Integration
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/7%3A_Integration
    Review of basic integration and the trapezoidal rule. Methods of numerical integration for functions given as discrete points, including the Gauss quadrature rule of integration, application of the tr...Review of basic integration and the trapezoidal rule. Methods of numerical integration for functions given as discrete points, including the Gauss quadrature rule of integration, application of the trapezoidal rule, and integration of interpolations.
  • 5.00: Physical Problems for Interpolation
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/5%3A_Interpolation/5.00%3A_Physical_Problems_for_Interpolation
    Examples of engineering problems suitable for solving with interpolation.
  • Table of Contents
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/00%3A_Front_Matter/03%3A_Table_of_Contents

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