Code solving UT Numerical Anaylsis excersizes
The fall focused on numerical optimization, approximation, and linear algebra. It is an introduction to scientific computing, theory and application of numerical linear algebra, solution of nonlinear equations, and numerical approximation of functions.
- HW1 - Conditioning numbers, norms, floating point numbers
- HW2 - Givens rotations, Conjugate gradient methods
- HW3 - Singular value decompositions, Newton iterations
- HW4 - Numerical optimization
- HW5 - Splines, numerical integration
- HW6 - Wavelets, Nueral networks
The spring excersizes focus on ODEs and PDEs. It is an introduction to the theory and practice of commonly used numerical algorithms for the solution of ordinary differential equations, and elliptic, parabolic, and hyperbolic partial differential equations. Three lecture hours a week for one semester.
- HW1 - Euler methods,Dahlquist stability
- HW2 - Linear multi-step methods
- HW3 - Finite element methods
- HW4 - Finite element methods
- HW5 - Partial differential equations
- HW6 - Finite volume methods, Finite difference methods