Shawn Zhong

Shawn Zhong

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Shawn Zhong

钟万祥
  • Tutorials
  • Mathematics
    • Math 240
    • Math 375
    • Math 431
    • Math 514
    • Math 521
    • Math 541
    • Math 632
    • Abstract Algebra
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    • Category Theory
  • Computer Sciences
    • CS/ECE 252
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    • Learn Haskell
  • Projects
    • 2048 Game
    • HiMCM 2016
    • 登峰杯 MCM
  • Course Notes
    • AP Microecon
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Math 514

Home / Mathematics / Notes / Math 514

Math 514

  • Sep 18, 2018
  • Shawn
  • Math 514, Notes
  • 1 comment
Notes on Math 514: Numerical Analysis @ University of Wisconsin-Madison Your comments and criticism are greatly welcomed.

Textbook

An Introduction to Numerical Analysis - by Endre Süli

Course Notes (PDF version)

Ch 1: Simple Iteration Method

Ch 2: Solution of Systems of Linear Equations

LU Decomposition

QR Factorization

Norm & Condition Number

Ch 3: Special Matrices

Ch 4: Simultaneous Iteration Method

Ch 5: Eigen-Decomposition

Midterm Review

Ch 6-10: Approximation & Integration

Polynomial Approximation Theory

Polynomial Interpolation & Chebyshev Nodes

Polynomial Projection & Quadrature Method

Integration Rules & Undetermined Coefficients

Review for Approximation & Integration

Ch 12: Numerical ODE

Introduction to Numerical ODE

Euler & Trapezoidal & Runge-Kutta

Linear Multistep Methods & Stability

Review for Numerical ODE

Note: You can download a PDF version of the notes here

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Math 514 - Review for Numerical ODE

  • Dec 12, 2018
  • Shawn
  • Math 514
  • No comments yet
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Math 514 - Linear Multistep Methods & Stability

  • Dec 07, 2018
  • Shawn
  • Math 514
  • No comments yet
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Math 514 - Euler & Trapezoidal & Runge-Kutta

  • Dec 07, 2018
  • Shawn
  • Math 514
  • 1 comment
Read More >>

Math 514 - Introduction to Numerical ODE

  • Dec 07, 2018
  • Shawn
  • Math 514
  • No comments yet
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