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ADVANCED NUMERICAL METHOD-I I(Optional Paper) [1]

Paper Code: 
MAT423C
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
15.00

Wavelet analysis :Wavelets, Haar Wavelets, continuous Wavelet transforms, discrete Wavelet transforms.
 

15.00

multi resolutions Wavelet transforms, Algebra and geometry of Wavelet – matrices, one dimensional wavelet systems.
 

15.00

Finite Element Methods & Bifurcation Theory. Basics of finite element methods, Discretization, error estimates of finite element interpretations.
 

15.00

generalized finite element method, finite element limit analysis.
 

15.00

Dynamical systems, Bifurcation and stability of dynamical systems, one parameter bifurcation of continuous time dynamical systems, Hopf bifurcation in reaction – diffusion systems.

 

Essential Readings: 
  1. Fourier and Wavelet Analysis : G. Bachman, L. Narici and E. Beckenstein: Springer
  2. Methods for PDEs and Frontiers in Numerical Analysis : J.E. Blawey, A.W. Craig : Springer
  3. Theoretical Numerical Analysis : K. Atkinson, and W. Hay : Springer
References: 
  1. Computational Methods for PDEs : M.K. Jain, S.R.K. Iyengar, R.K. Jain : Wiley Eastern.
  2. Numerical Methods Problems and solutions, Jain ; Iyengar
  3. Numerical Methods for Engineers, Chapra,Steven C.
     
Academic Year: 
2017-2018 [2]

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Source URL: https://maths.iisuniv.ac.in/courses/subjects/advanced-numerical-method-i-ioptional-paper

Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/advanced-numerical-method-i-ioptional-paper
[2] https://maths.iisuniv.ac.in/academic-year/2017-2018