Name of subject: Numerical Methods
Department: Department of mathematics
Lecturer

RNDr. Miroslava Dubcová, PhD.
Range: 3/2 assesment, exam 
Credit:   7 

 Sylabus:

  1. Interpolation, difference formulas, quadrature formulas.
  2. Methods of linear algebra.
  3. Systems of nonlinear equations. Newton method.
  4. Linear and nonlinear regression. Gauss-Newton method.
  5. Initial value problem for ODE´s. One-step methods.
  6. Multistep methods.
  7. Stability. Error estimation.
  8. Stiff systems. A-stable methods.
  9. Boundary value problem for ODE´s.
  10. Finite-difference methods.
  11. Shooting methods.
  12. Finite-difference methods for PDE´s of parabolic type.
  13. Methods of lines.
  14. Finite-difference methods for PDE´s of elliptic type.