Perturbative Methods for Modelling (M2)

Topic outline

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  Méthodes perturbatives pour la modélisation / Perturbative Methods for Modelling

  Olivier THUAL, INP Toulouse

  • Résumé / Summary Page
  • News from the teacher Forum
  • Discussion forum
  • Wiki project
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  Reference materials for the course

  • Exercices structuring the course (POLYCOP) File
  • Reference Book (pdf format) File
  • Reference Book (.djvu format) File
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  Ordinary Differential Equations

  • Variation of parameters Workshop
  • Green function Workshop
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  Difference Equation

  • Gamma function Workshop
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  Approximate Solution of Linear Differential Equations

  • Singular points Workshop
  • Airy functions Workshop
  • Frobenius method Workshop
  • Irregular singular points Workshop
  • Bessel functions Workshop
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  Approximate Solution of Nonlinear Differentiale Equations

  • Critical points Workshop
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  Asymptotic Expansion of Integrals

  • Watson's lemma Workshop
  • Laplace's method Workshop
  • Path deformation Workshop
  • Steepest descent method Workshop
  • Stationnary phase method Workshop
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  Perturbation Series

  • Perturbation of an eigenvalue problem Workshop
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  Boundary Layer Theory

  • Boundary layer Workshop
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  WKB Theory

  • Schrödinger equation Workshop
  • Sturm-Liouville problem Workshop
  • Airy equation Workshop
  • Turning point Workshop
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  Multi-Scale Analysis

  • Periodic solutions Workshop
  • Mathieu equation Workshop