Brady Elster
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    Brady Elster

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    • Auburn, AL
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    Intriductory Principles

    • Landau Order Symbols

    • Definition of Asymptotic Series

    Classical Asymptotic Methods

    • Regular Perturbation Expansions

      • Optimal Asymptotic Approximation

      • Secular Growth

      • Convergent Series

      • Acceleration Techniques

        • Richardson Extrapolation

        • Shanks Transformation

      • Divergent Series

      • Summation Techniques

        • Euler Summation

        • Borel Summation

        • Zeta Summation

        • Generic Summation Methods

        • Analytic Continuation

        • Brief Aside on The Casimir Effect

      • Mellin-Barnes Regularization

      • Pade Approximants

    • Singular Perturbation Expansions * Poincare-Lindstedt * Multiple Scales * WKB Theory & Waves * The "Reductive Perturbation Method" * Matched Asymptotics & Boundary Layer Theory * Renomalization * Logarithmic Switchback

    • Local Analysis of Differential Equations

      • Dominant Balance

      • Kruskal-Newton Diagrams

      • Dominant Balance for Systems of ODEs

    • Global Analysis of Differential Equations

    Hyperasymptotics (Beyond All Orders)

    • Stokes Phenomenaon

    • Resurgence

    • Transseries

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