Numerical Analysis  196013





Lecture 
Exercise 
Laboratory 
Project or Seminar 
House Work 
Weekly Hours 
3 





Determination of the grade according to progress during the semester and the submission of the final thesis
Prerequisites:
 
(
  Algebra Am 
104166
 
  
and
 Algebra B 
104168
 
  
and
 Introduction to Numerical Analysis 
104283
 
  
and
 Ordinary Differential Equations a 
104285
 ) 
1. Numerical Linear Algebra: Svd, Least Squares, Qr Decomposition, Eigenvalue Problems and the Qr Algorithm.
2. Dft/Fft: Discrete Fourier Transform, Fast Fourier Transform.
3. Numerical Methods for Odes: Initial Value Problems,One Step Methods ,Consistency/Stability/Accuracy, MultiStep, Bdf, RungeKutta Methods.
1. Use of Algorithms to Solve Least Squares Problems and Eigenvalue Problems.
2. Use of Spectral Methods to Solve Boundary Value Problems.
3. Development Or Choice of a Suitable Numerical Scheme for Solving a Given Ode.
4. Analysis of the Accuracy and Stability of a Given Numerical Scheme for Odes.
TextbooksPublished  Publisher  Authors  Book 

1997  society for industrial and applied mathematics.  trefethen and bau  numerical linear algebra 
2011  birkhauser  m.w.wong  descrete fourier analysis 
1998  society for industrial and applied mathematics  uri ascher  computer methods for ordinary differential equations and differentialalgebraic equations 
Created in 24/01/2022 Time 22:53:51