Perturbative Methods for Modelling (M2)

Topic outline

• Méthodes perturbatives pour la modélisation / Perturbative Methods for Modelling

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  Olivier THUAL, INP Toulouse

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    Résumé / Summary Page
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    News from the teacher Forum
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    Discussion forum
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    Wiki project

• Reference materials for the course
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    Exercices structuring the course (POLYCOP) File
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    Reference Book (pdf format) File
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    Reference Book (.djvu format) File

• Ordinary Differential Equations
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    Variation of parameters Workshop
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    Green function Workshop

• Difference Equation
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    Gamma function Workshop

• Approximate Solution of Linear Differential Equations
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    Singular points Workshop
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    Airy functions Workshop
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    Frobenius method Workshop
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    Irregular singular points Workshop
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    Bessel functions Workshop

• Approximate Solution of Nonlinear Differentiale Equations
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    Critical points Workshop

• Asymptotic Expansion of Integrals
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    Watson's lemma Workshop
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    Laplace's method Workshop
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    Path deformation Workshop
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    Steepest descent method Workshop
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    Stationnary phase method Workshop

• Perturbation Series
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    Perturbation of an eigenvalue problem Workshop

• Boundary Layer Theory
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    Boundary layer Workshop

• WKB Theory
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    Schrödinger equation Workshop
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    Sturm-Liouville problem Workshop
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    Airy equation Workshop
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    Turning point Workshop

• Multi-Scale Analysis
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    Periodic solutions Workshop
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    Mathieu equation Workshop