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Advanced Discretization Methods

Description

The course examines the development and analysis of spectral methods for the solution of time-dependent partial differential equations. Topics include key elements of approximation and stability theory for Fourier and polynomial spectral methods, as well as temporal integration and numerical aspects.

 

REFERENCES

  • Spectral methods for time-dependent problems implementation, post-processing and error estimates; J. Hesthaven, S. Gottlieb, D. Gottlieb
  • Hybrid and Mixed Finite Element Methods; Atluri SN, Gallagher RH and Zienkiewicz OC.
  • Connection between finite volume and mixed finite element methods: Baranger J, Maitre J-F and Oudin F., - Finite Elements., Theory, Fast Solvers and Applications in Solid Mechanics; Braess D. 
  • Nonconforming finite element methods for the equations of linear elasticity; Falk RS.
  • A family of mixed finite elements for the elasticity problem; Stenberg R.

People

 

Pivkin I.

Course director

Additional information

Semester
Fall
Academic year
2015-2016
ECTS
6
Education
Master of Science in Computational Science, Core course, Lecture, 2nd year