| Area |
Topic |
|
Fundamentals and Linear Analysis
|
-
Machine
Representation and Control Structures
-
Vectors
and Matrices
-
Special Matrices and Matrix Decomposition
-
Direct
Solution of Linear Systems of Equations
- Iterative
Methods for Solving Linear Systems of Equations
|
|
Non-linear Systems and Optimization |
-
Solution
of a Single Non-linear Equation
-
Roots
of Polynomials
-
Systems
of Non-linear Equations: Newton’s method
-
Linesearch
-
Quasi-Newton’s
Methods: Broyden’s method
-
BFGS
Approximation of the Jacobian Matrix
-
Trust
Region Methods (Powell’s Method)
-
Relaxation
Methods
- Recycle
Partition and Tearing
|
| Interpolation
Theory, Numerical Integration, Solution of Dynamic Systems |
-
Lagrangian
Polynomials
-
Orthogonal
Polynomials
-
Introduction
to Collocation Methods
-
One
Step Methods
-
Multi-step
Methods
-
Predictor
Corrector Methods
-
Methods
for Stiff Differential Equations
- Finite
Element Collocation for Solving ODE and PDEs
|
| Optimization |
-
Data
Fitting: Least Squares
-
Steepest
Descent Methods
-
Successive Quadratic Programming
-
Stochastic
Optimization Methods
- Introduction
into constrained Optimization
|
