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  • Valitse aktiviteetti Study Material

    Study Material

  • Valitse aktiviteetti Lecture Transcripts and Sample Codes

    

    Lecture Transcripts and Sample Codes Kansio

    Lecture transcripts and Mathematica notebooks (and possible other examples) are available here.

  • Valitse aktiviteetti Typos in the handwritten lecture transcripts

    

    Typos in the handwritten lecture transcripts Sivu

    Collected typos and inaccuracies in the handwritten lecture transcripts by Harri Hakula from 2021.
    

    Last updated May 12, 2023.

  • Valitse aktiviteetti New lecture notes (2024), updated on a weekly basis

    

    New lecture notes (2024), updated on a weekly basis Verkko-osoite

    New lecture notes project (2024), Markdown in GitHub, updated on a weekly basis.

    Collaboration of volunteers possible!

  • Valitse aktiviteetti New lecture notes (2024), HTML

    

    New lecture notes (2024), HTML Tiedosto HTML

    Last updated: 30.5.2024 

  • Valitse aktiviteetti New lecture notes (2024), PDF

    

    New lecture notes (2024), PDF Tiedosto PDF

    Last updated: 30.5.2024 

  • Valitse aktiviteetti New lecture notes (2024), Markdown

    

    New lecture notes (2024), Markdown Tiedosto MD

    Last updated: 30.5.2024 

  • Valitse aktiviteetti Lecture Notes for MS-C1650 - Numerical Analysis

    

    Lecture Notes for MS-C1650 - Numerical Analysis Tiedosto PDF

    This is an old version of the lecture notes by Harri Hakula. The current version will be updated on weekly basis. It has many rough edges and many mistakes (spelling & factual). The current version is simply a placeholder and only for the curious ones.

    April 20, 2021.

  • Valitse aktiviteetti L. Ridgway Scott: Numerical Analysis.

    

    L. Ridgway Scott: Numerical Analysis. Verkko-osoite

    Scott's book is deeply entrenched in Northern American traditions. It includes a lot of numerical matrix algebra that is covered in a separate Master's level course in Aalto.

  • Valitse aktiviteetti Anne Greenbaum and Tim P. Chartier: Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms

    

    Anne Greenbaum and Tim P. Chartier: Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms Verkko-osoite

    Greenbaum & Chartier is an excellent, modern take on numerical analysis. Our lectures are greatly influenced by this book.

  • Valitse aktiviteetti Qingkai Kong, Timmy Siauw, and Alexandre Bayen: Python Programming and Numerical Methods. A Guide for Engineers and Scientists

    

    Qingkai Kong, Timmy Siauw, and Alexandre Bayen: Python Programming and Numerical Methods. A Guide for Engineers and Scientists Verkko-osoite

    A well-written, complementary textbook on Numerical Analysis using the Python Programming Language.

  • Valitse aktiviteetti Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett: Solving Ordinary Differential Equations I: Nonstiff Problems

    

    Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett: Solving Ordinary Differential Equations I: Nonstiff Problems Verkko-osoite

    A standard reference for Euler's method and linear multistep methods and beyond.

  • Valitse aktiviteetti Condition and Stability

    

    Condition and Stability Tiedosto PDF

    by Charles Collins, The University of Tennessee, Knoxville.
    

  • Valitse aktiviteetti Elementary Functions, Algorithms and Implementation

    

    Elementary Functions, Algorithms and Implementation Tiedosto PDF

    Legal free sample from Springer. Muller's book is an excellent overview of the computation of the elementary functions.

  • Valitse aktiviteetti Floating point numbers and round-off error

    

    Floating point numbers and round-off error Tiedosto PDF

    by Charles Collins, The University of Tennessee, Knoxville.
    

  • Valitse aktiviteetti Rate of convergence

    

    Rate of convergence Tiedosto PDF

    by Charles Collins, The University of Tennessee, Knoxville.
    

    Note that the superscript denotes the index of the sequence and not taking powers.

  • Valitse aktiviteetti Little-o and big-O notation / Landau symbols

    

    Little-o and big-O notation / Landau symbols Verkko-osoite

    Definition and a few examples about the little-o and big-O notation in analysis.

  • Valitse aktiviteetti Fast Inverse Square Root — A Quake III Algorithm

    

    Fast Inverse Square Root — A Quake III Algorithm Verkko-osoite

    External video, includes an intro to floats and an algorithm using Newton's method to compute the inverse square root.
    

  • Valitse aktiviteetti The Continuity of Splines

    

    The Continuity of Splines Verkko-osoite

    External video, includes discussion of Hermit interpolation, Splines and Bézier curves. Quite extensive but worth a watch.
    

  • Valitse aktiviteetti Floating Point Representation and Rounding Error

    

    Floating Point Representation and Rounding Error Verkko-osoite

    External video, includes an introduction to floating point representation and how rounding is handled.
    

  • Valitse aktiviteetti Old Lecture Videos (2021)

    

    Old Lecture Videos (2021) Sivu
  • Valitse aktiviteetti Old Lecture Videos from 2020 (in Finnish)

    

    Old Lecture Videos from 2020 (in Finnish) Sivu

    These are the first pandemic era lecture videos from 2020.

  • Valitse aktiviteetti Codes

    Codes

  • Valitse aktiviteetti Floating-Point Examples

    

    Floating-Point Examples Kansio

    • Muller: float.mpl ; nearest_binary32 & nearest_binary64
      
    • Muller: routines.mpl ; addition, multiplication and Kahan's determinant, both in 32 and 64 bit versions
      
    • Muller: MullerExamples.mw ; Maple-worksheet (Remember to set the directory!)