Lectures:
1. Numerical linear algebra - iterative methods for solution to linear systems
2. Numerical linear algebra - the method of conjugate gradients, preconditioning
3. Numerical linear algebra - sparse matrix solvers, parallel frontal method
4. Numerical linear algebra - eigenvalues and eigenvectors, power method, Lanczos method
5. Numerical linear algebra - libraries BLAS, LAPACK, MUMPS
6. Nonlinear systems - bisection, fixed-point iterations, Newton's method
7. Interpolation and approximation - Lagrange interpolation, splines, B-splines, approximation by the method of least squares
8. Numerical analysis - numerical derivative, numerical quadrature
9. Numerical analysis - introduction to numerics for partial differential equations
10. Numerical analysis - principle of the finite element method
Exercises:
1. Numerical linear algebra - iterative methods for solution to linear systems
2. Numerical linear algebra - the method of conjugate gradients, preconditioning
3. Numerical linear algebra - sparse matrix solvers, parallel frontal method
4. Numerical linear algebra - eigenvalues and eigenvectors, power method, Lanczos method
5. Numerical linear algebra - libraries BLAS, LAPACK, MUMPS
6. Nonlinear systems - bisection, fixed-point iterations, Newton's method
7. Interpolation and approximation - Lagrange interpolation, splines, B-splines, approximation by the method of least squares
8. Numerical analysis - numerical derivative, numerical quadrature
9. Numerical analysis - introduction to numerics for partial differential equations
10. Numerical analysis - principle of the finite element method
1. Numerical linear algebra - iterative methods for solution to linear systems
2. Numerical linear algebra - the method of conjugate gradients, preconditioning
3. Numerical linear algebra - sparse matrix solvers, parallel frontal method
4. Numerical linear algebra - eigenvalues and eigenvectors, power method, Lanczos method
5. Numerical linear algebra - libraries BLAS, LAPACK, MUMPS
6. Nonlinear systems - bisection, fixed-point iterations, Newton's method
7. Interpolation and approximation - Lagrange interpolation, splines, B-splines, approximation by the method of least squares
8. Numerical analysis - numerical derivative, numerical quadrature
9. Numerical analysis - introduction to numerics for partial differential equations
10. Numerical analysis - principle of the finite element method
Exercises:
1. Numerical linear algebra - iterative methods for solution to linear systems
2. Numerical linear algebra - the method of conjugate gradients, preconditioning
3. Numerical linear algebra - sparse matrix solvers, parallel frontal method
4. Numerical linear algebra - eigenvalues and eigenvectors, power method, Lanczos method
5. Numerical linear algebra - libraries BLAS, LAPACK, MUMPS
6. Nonlinear systems - bisection, fixed-point iterations, Newton's method
7. Interpolation and approximation - Lagrange interpolation, splines, B-splines, approximation by the method of least squares
8. Numerical analysis - numerical derivative, numerical quadrature
9. Numerical analysis - introduction to numerics for partial differential equations
10. Numerical analysis - principle of the finite element method