Lecture Note

• Class Note

• Chapter 2. Scalar Conservation Laws – Theory

  • Weak solutions of the Burgers Equation

• Chapter 4. Conservation Laws with Non-convex Flux

  • Two-Phase Flow with Buckley-Leverett Equation, Jan 27, 2017

• Chapter 5. Examples of Nonlinear Systems

  • Section 1 -- The Euler Equations, Feb 1, 2017
  • Section 2 -- Equations of State (EoS), Feb 3, 2017
  • Section 3 -- Other topics: Entropy, Enthalpy, Specific heats, Ideal Gases Feb 6, 2017

• Chapter 6. Numerical Methods for Linear Conservation Laws (Chapter 5 of the online PDF note)

  • There are extra lecture notes from AMS 213B that cover these topics in more details. Please check out the following lecture notes:

    Lecture note 13

    Lecture note 14

    Lecture note 16

    Lecture note 19

    Lecture note 20

    Lecture note 21

    Lecture note 22

• Chapter 9. Finite Volume Methods for the Euler Equations

  • Lecture note