Birs- 24w5227: Modern Methods for Differential Equations of Quantum Mechanics

  1. Title:
    Solving the time-dependent Schroedinger equations using variational Gaussian Wavepackets: Advantages and problems

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  2. Title:
    Family of Gaussian wavepacket dynamics methods from the perspective of a nonlinear Schrödinger equation

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  3. Title:
    Using collocation to solve high-dimensional Schroedinger equations

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  4. Title:
    Numerical models for coupling Navier-Stokes and Gross-Pitaevskii solvers for two-fluid quantum flows

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  5. Title:
    T Systems and Numerical Solution of Schrödinger Equations

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  6. Title:
    Modified operator splitting methods for nonlinear evolution equations of parabolic and Schrödinger type

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  7. Title:
    Filtered Lie splitting for the `good' Boussinesq equation

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  8. Title:
    Graph-based discretizations of Wasserstein-Hamiltonian Flows

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  9. Title:
    From Lagrangian submanifold theory to geometric integration of mechanical systems

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  10. Title:
    Numerical methods for the nonlinear Schroedinger equation with low regularity potential and nonlinearity

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  11. Title:
    Structure-preserving low-regularity integrators for dispersive nonlinear equations

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  12. Title:
    A multilevel stochastic collocation method for Schrödinger Equations with a random potential

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  13. Title:
    On kappa-explicit error estimates for the stationary Ginzburg-Landau equation

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  14. Title:
    On mathematical foundations of spectral methods

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  15. Title:
    A framework for stable spectral methods in d-dimensional unit balls

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