206455 – Numerical analysis
Classroom: SCB 4201
Class meeting: M Th at 11.00 am - 12.30 pm
Semester: 1/2563

Instructor: Nattapol Ploymaklam
Office: MB 2225
Email: nattapol.p@cmu.ac.th

MS Team

Midterm Exam Date: Thursday, September 10, 2020 at 15.30 – 18.30
Location: RB 5301

1. Interpolation theory                                                                                

          1.1 Polynomial interpolation theory

          1.2 Divided differences

          1.3 Hermite interpolation

          1.4 Cubic spline

2. Approximation of functions                                                                       

          2.1 The minimax approximation

          2.2 The least squares approximation

          2.3 Orthogonal polynomials

          2.4 General least squares approximation

3. Numerical analysis for ordinary differential equations                                        

          3.1 Euler’s method

          3.2 Multisteps methods

          3.3 The midpoint methods

Final Exam Date: Saturday, November 14, 2020 at 8.00 – 11.00
Location: RB 5301

          3.4 Higher order multistep methods

          3.5 Boundary value problems

4. Numerical methods for partial differential equations                                                 

          4.1 Parabolic equations

          4.2 Hyperbolic equations

          4.3 Elliptic equations

5. Matrix eigenvalues problem                                                                     

          5.1 Location of eigenvalues, error and stability

          5.2 Numerical methods for finding eigenvalues and eigenvectors