206455 – Numerical analysis
Classroom: MB 2111
Class meeting: Tu F at 2.30 pm - 4.00 pm
Semester: 1/2558

Instructor: Dr. Nattapol Ploymaklam
Office: MB 2225
Office Hours: Tu F at 1.00 pm – 2.30 pm, or by appointment
Email: nploymaklam@gmail.com

Syllabus

Midterm Exam Date: Friday, 9 October 2015, 8:00 – 11:00 AM
Location: RB3406

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: Sunday, 6 December 2015 at 3:30 PM – 6:30 PM ( อาทิตย์ที่ 6 ธันวาคม เวลา 15.30 – 18.30 น.)
Location: MB 2213-14

          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    

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