Mathematics 406:
Variational and Approximate Methods in Applied
Mathematics
- Class: Monday, Wednesday, Friday at 14h00
in Math 203.
- Instructor:
- Anthony Peirce
- mailto:peirce@math.ubc.ca
- MATH 108
- Office Hours: Location Math 108: Times: Monday: 12:30-1:30 am, Wed:
3-3:55 pm, Fri: 10-11 am..
- Course information
- Dates to Remember
-
Programming Resources
-
Course notes
- MATLAB Demos:
- Overview of the course
- Approximation Theory: Interpolation and Approximation of functions:
- Lecture1, Lecture 2, Lecture 4, Lecture 5
- Numerical Integration:
- Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10
- ODE:
- Green's Functions for Boundary Value Problems:
- 2017: Lecture 11, Lecture 12, Lecture 13, Lecture 14, Lecture
15, Lecture 16, Lecture 17, Lecture 18
- Variational methods for Boundary Value Problems
- 2017: Lecture 19, Lecture 20, Lecture 21, Lecture 22, Lecture
23
- PDE
- Elliptic Equations:
- Finite Difference Methods
- The Finite Element Formulation for Elliptic Equations with triangular
tesselation of arbitrary regions
- Lecture 24, Lecture 25, Lecture 26, Lecture 27
- Green's Functions for Elliptic PDE
- Green's Theorems and multidimensional delta functions: Lecture
28,
- Free Space Green's Functions: Lecture 29,
- The Boundary Integral Method: Lecture 30, Lecture 31
- The Indirect Boundary Element Method: Lecture 32,
- Green's Fuction for a circle using the Method of Images:
Lecture 33,
- Imanges, Eigen Function Expansions, and the FT: Lecture
34
- Evolution Equations
- Initial Value Problems for ODE: Lecture 35, Lecture 36, Lecture
37.
- The heat Equation
- The wave Equation
- Class Demo Programs
- MATLAB: Demo session in Class
- Interpolation and Integration:
- Midterms
- Homework
- Assignments
- Assignment 1 (Due 20 th Sept 2019) Solutions
- Assignment 2 (Due 4 th October 2019) Solutions, trapez.m
- Assignment 3 (Due 18 thOctober 2019) Solutions
- Assignment 4 (Due 8th November 2019), Solutions
- Project 1 (Due November 13 th)
- Assignment 5 (Due 15th November 2019), Solutions, FEM_pack
- Project 2 (due) Z.dat
- Assignment 6 (Due 22nd November 2019), Solutions, BEM_Pack