Lectures on the Orbital Stability of Standing Waves and Application to the Nonlinear Schrodinger Equation

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Lectures on the Orbital Stability of Standing Waves and Application to the Nonlinear Schrodinger Equation

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Dynamical Low-Rank Approximation for Stochastic Differential Equations

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Nonparametric estimation for SDE with sparsely sampled paths: An FDA perspective

Stability: a search for structure

The Strong Integral Input-to-State Stability Property in Dynamical Flow Networks

Critical degeneracy in a nonlinear hyperbolic equation can produce atypical instability

Dynamical system approach to navigation around obstacles

Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Reactive collision-free motion generation in joint space via dynamical systems and sampling-based MPC

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Soliton gas: Theory, numerics, and experiments

Optimizing Dynamic Aperture Studies with Active Learning

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

Additive and geometric transversality of fractal sets in the integers

Instability and trajectories of buoyancy-driven annular disks: A numerical study

A Combination Technique for Optimal Control Problems Constrained by Random PDEs

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

Quantifying the Unknown: Data-Driven Approaches and Applications in Energy Systems

From low-rank retractions to dynamical low-rank approximation and back