Subject: Subject Sylbus: Numerical Analysis - 196013

Numerical Analysis - 196013
Credit
Points
3.0
 
Given In
Semester
a
 
  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, Multi-Step, Bdf, Runge-Kutta 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.




System of hours to the semesters
Semester Previous Semester information 01/2021 2021/2022 Winter Semester


Textbooks
PublishedPublisherAuthorsBook
1997society for industrial and applied mathematics.trefethen and baunumerical linear algebra
2011birkhauserm.w.wongdescrete fourier analysis
1998society for industrial and applied mathematicsuri aschercomputer methods for ordinary differential equations and differential-algebraic equations

Created in 24/01/2022 Time 22:53:51