206455 – Numerical analysis
Classroom: SCB 4301
Class meeting: M Th at 11.00 am - 12.30 pm
Semester: 1/2565

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

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Midterm Exam Date: Thursday, September 1, 2022 at 12.00 – 15.00
Location: MB2111

1. Matrix eigenvalues problem                                                                     

          1.1 Location of eigenvalues, error and stability

          1.2 Numerical methods for finding eigenvalues and eigenvectors    

2. Interpolation theory                                                                                

          2.1 Polynomial interpolation theory

          2.2 Divided differences

          2.3 Hermite interpolation

          2.4 Cubic spline

3. Approximation of functions                                                                       

          3.1 The minimax approximation

          3.2 The least squares approximation

          3.3 Orthogonal polynomials

          3.4 General least squares approximation

Final Exam Date: Saturday, November 5, 2022 at 8.00 – 11.00
Location: TBA

4. Numerical analysis for ordinary differential equations                                        

          4.1 Euler’s method

          4.2 Multisteps methods

          4.3 The midpoint methods

          4.4 Higher order multistep methods

          4.5 Boundary value problems

5. Numerical methods for partial differential equations

          5.1 Parabolic equations

          5.2 Hyperbolic equations

          5.3 Elliptic equations