219789 – Select Topics in Applied Math (Discontinuous Galerkin Method)
Classroom: SCB 4302
Class meeting: M Th at 11.00 am - 12.30 pm
Semester: 2/2558

Instructor: Dr. Nattapol Ploymaklam
Office: MB 2225
Office Hours: M Th at 9.30 am – 11.00 am, or by appointment
Email: nploymaklam@gmail.com

Midterm Exam Date: Friday, March 4, 2016, at 12.00 – 3.00 PM
Location: RB 5201

1. Numerical solution of partial differential equations

1.1 Hyperbolic conservation laws

1.2 Finite element methods

1.3 Approximation theory and error estimates for finite element methods

2. Discontinuous Galerkin finite element methods

2.1 Model problems

2.1 Implementation

2.2 Stability and error estimates for discontinuous Galerkin finite element methods

3. The scalar conservation law in one-dimensional space

3.1 Discontinuous Galerkin space discretization

3.2 Total variation diminishing Runge-Kutta time discretization

Final Exam Date: Wednesday, May 4, 2016, at 12.00 – 3.00 PM
Location: TBA

3.3 Generalized slope limiter

3.4 L2-error estimates in the linear case

4. Convection-diffusion problems in one-dimensional space

4.1 Local discontinuous Galerkin methods

4.2 Implementation and error estimates of the local discontinuous Galerkin methods

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