Advanced Discretization Methods

UNIVERSITÀ DELLA SVIZZERA ITALIANA
A Mendrisio (Svizzera)

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Informazione importanti

  • Corso
  • Mendrisio (Svizzera)
Descrizione

Descrizione 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.

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Dove e quando

Inizio Luogo
Consultare
Mendrisio
Tessin, Svizzera
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Cosa impari in questo corso?

Spectral methods
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Programma

Descrizione

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.

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