Practical Numerical Analysis (2023-24)

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  General

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  • Select activity Announcements

    

    Announcements Forum
• Select section Course Materials

  Course Materials

  • Select activity Sheet 1

    

    Sheet 1 Assignment

    1D interpolation (including splines). The material for this sheet is contained in Lecture 1: Interpolation and Lecture 2: Splines.
    

  • Select activity Sheet 2

    

    Sheet 2 Assignment

    Quadrature and rootfinding. The material for this sheet is contained in Lecture 3: Quadrature and Lecture 4: Rootfinding.
    

  • Select activity Sheet 3

    

    Sheet 3 Assignment

    The \(\theta\)-method and Runge Kutta schemes for ODE initial value problems. The material for this sheet is contained in Lecture 5: Initial Value Problems: ODEs and Lecture 6: Initial Value Problems: ODEs.
    

  • Select activity Sheet 4

    

    Sheet 4 Assignment

    Adaptive Runge-Kutta methods, linear multistep methods and the 1D heat equation. The material for this sheet is contained in Lecture 7: Initial Value Problems: ODEs and Lecture 8: 1D Parabolic PDEs: Finite Difference Methods.
    

  • Select activity Publish guide (.m file)

    

    Publish guide (.m file)
  • Select activity Publish guide (.pdf file)

    

    Publish guide (.pdf file)
  • Select activity Introduction to Practical Numerical Analysis

    

    Introduction to Practical Numerical Analysis File
  • Select activity Lecture 1: Interpolation

    

    Lecture 1: Interpolation File
  • Select activity Lecture 2: Splines

    

    Lecture 2: Splines File
  • Select activity Lecture 3: Quadrature

    

    Lecture 3: Quadrature File
  • Select activity Lecture 4: Rootfinding

    

    Lecture 4: Rootfinding File
  • Select activity Lecture 5: Initial Value Problems: ODEs

    

    Lecture 5: Initial Value Problems: ODEs File

    The \(\theta\)-method for solving initial value ODE problems.
    

  • Select activity Lecture 6: Initial Value Problems: ODEs

    

    Lecture 6: Initial Value Problems: ODEs File

    Runge-Kutta schemes for solving ODE initial value problems.
    

  • Select activity Lecture 7: Initial Value Problems: ODEs

    

    Lecture 7: Initial Value Problems: ODEs File

    Adaptive Runge-Kutta schemes & linear multistep methods.
    

  • Select activity Lecture 8: 1D Parabolic PDEs: Finite Difference Methods

    

    Lecture 8: 1D Parabolic PDEs: Finite Difference Methods File
  • Select activity Lecture 9: Parabolic PDEs: Finite Difference Methods

    

    Lecture 9: Parabolic PDEs: Finite Difference Methods File