Perturbative Methods for Modelling (M2)

Section outline

• Select section Méthodes perturbatives pour la modélisation / Perturbative Methods for Modelling

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  Méthodes perturbatives pour la modélisation / Perturbative Methods for Modelling

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  Olivier THUAL, INP Toulouse

  • Select activity Résumé / Summary

    

    Résumé / Summary Page
  • Select activity News from the teacher

    

    News from the teacher Forum
  • Select activity Discussion forum

    

    Discussion forum
  • Select activity Wiki project

    

    Wiki project
• Select section Reference materials for the course

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  Reference materials for the course

  • Select activity Exercices structuring the course (POLYCOP)

    

    Exercices structuring the course (POLYCOP) File
  • Select activity Reference Book (pdf format)

    

    Reference Book (pdf format) File
  • Select activity Reference Book (.djvu format)

    

    Reference Book (.djvu format) File
• Select section Ordinary Differential Equations

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  Ordinary Differential Equations

  • Select activity Variation of parameters

    

    Variation of parameters Workshop
  • Select activity Green function

    

    Green function Workshop
• Select section Difference Equation

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  Difference Equation

  • Select activity Gamma function

    

    Gamma function Workshop
• Select section Approximate Solution of Linear Differential Equations

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  Approximate Solution of Linear Differential Equations

  • Select activity Singular points

    

    Singular points Workshop
  • Select activity Airy functions

    

    Airy functions Workshop
  • Select activity Frobenius method

    

    Frobenius method Workshop
  • Select activity Irregular singular points

    

    Irregular singular points Workshop
  • Select activity Bessel functions

    

    Bessel functions Workshop
• Select section Approximate Solution of Nonlinear Differentiale Equations

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  Approximate Solution of Nonlinear Differentiale Equations

  • Select activity Critical points

    

    Critical points Workshop
• Select section Asymptotic Expansion of Integrals

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  Asymptotic Expansion of Integrals

  • Select activity Watson's lemma

    

    Watson's lemma Workshop
  • Select activity Laplace's method

    

    Laplace's method Workshop
  • Select activity Path deformation

    

    Path deformation Workshop
  • Select activity Steepest descent method

    

    Steepest descent method Workshop
  • Select activity Stationnary phase method

    

    Stationnary phase method Workshop
• Select section Perturbation Series

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  Perturbation Series

  • Select activity Perturbation of an eigenvalue problem

    

    Perturbation of an eigenvalue problem Workshop
• Select section Boundary Layer Theory

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  Boundary Layer Theory

  • Select activity Boundary layer

    

    Boundary layer Workshop
• Select section WKB Theory

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  WKB Theory

  • Select activity Schrödinger equation

    

    Schrödinger equation Workshop
  • Select activity Sturm-Liouville problem

    

    Sturm-Liouville problem Workshop
  • Select activity Airy equation

    

    Airy equation Workshop
  • Select activity Turning point

    

    Turning point Workshop
• Select section Multi-Scale Analysis

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  Multi-Scale Analysis

  • Select activity Periodic solutions

    

    Periodic solutions Workshop
  • Select activity Mathieu equation

    

    Mathieu equation Workshop