Birs- 15w5052: Modern Applications of Complex Variables: Modeling, Theory and Computation

  1. Title:
    Alan Elcrat's contributions to computational complex analysis

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  2. Title:
    Conformal welding and planar graphs

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    An open source software project for numerical conformal mapping

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  4. Title:
    Conformal mapping techniques applied to interfacial flow with soluble surfactant

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    Stokes flow in an L-shaped Channel; the Fokas Method

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    The time-dependent Schrödinger equation with piecewise constant potential

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  7. Title:
    A simple construction of integrable Whitham type hierarchies

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  8. Title:
    Riemann-Hilbert problem to the Camassa-Holm equation: Long-time dynamics of a step-like initial data

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  9. Title:
    Numerics for classical applications of Riemann-Hilbert problems

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  10. Title:
    R-linear problem and its applications to regular and random structures

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  11. Title:
    Approximate analytical Tritronqée solution to P_I and rigorous estimates

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  12. Title:
    Numerical solutions of the Painlevé equations

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  13. Title:
    Vortices and polynomials

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  14. Title:
    Two dimensional Coulomb gas via orthogonal polynomials: higher order corrections

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  15. Title:
    Gibbs phenomenon for dispersive PDEs on the line

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  16. Title:
    Green’s function for the Laplace-Beltrami operator on a toroidal surface

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  17. Title:
    Exponential asymptotics and water waves

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  18. Title:
    Contour integral methods for elliptic PDEs

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  19. Title:
    Nonlinear two-dimensional gravity-capillary free-surface flows

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  20. Title:
    Ill-posedness of a truncated series model for water waves via complex analysis

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