Numerical analysis & scientific computing
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- Dynamical Low-Rank Filters for Data Assimilation
- Fully discrete multi-entropy-stable compact Runge--Kutta discontinuous Galerkin methods for hyperbolic conservation laws
- Sampling with collective variables: Relative error analysis for umbrella sampling under general conditions
- Orientation Estimation of Cryo-EM Images for Molecules with Arbitrary Symmetry by Semidefinite Programming
- A two-level preconditioner for discontinuous virtual element methods with irregular subdomains
- Two-level additive Schwarz preconditioners with GDSW coarse spaces for high-order discretizations in 2D
- Low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations
- A Projection Anderson Acceleration Algorithm for Non-quasi-monotone Variational Inequalities with Hölder Continuous Terms
- Block diagonal preconditioners for arrow-shaped multiple saddle-point linear systems
- Provable Method of Moments for Cryo-EM
- Learning Hamiltonians from Trajectory Data with Kernel Methods
- POD-accelerated high-order multiscale method with corrected-basis reconstruction for transient multi-continuum problems
- Semi-Lagrangian Approximation of Master Equations with Individual Noise on Finite Graphs
- Least-Squares Finite Element Methods with Weakly Imposed Boundary Conditions: Norm and Error Equivalences, Over-Penalization, and Fully Discontinuous Discretizations
- Strong convergence rate of the implicit midpoint method for stochastic KdV equations
- A Structure-Preserving Effective Linear Approximation of the Quantum Boltzmann Collision Operator
- Targeted Entropy-Stable Nonlinear Artificial Dissipation for High-Order Spectral-Element Summation-By-Parts Discretizations
- Efficient Shallow Ritz Method: 1D Semi-Linear Diffusion-Reaction and Allen-Cahn Equations
- An adaptive localized orthogonal decomposition method for Helmholtz problems
- Existence of Dynamical Low-Rank Approximation for SDEs with Locally Lipschitz Coefficients
- On a class of supraconvergent Hermite-type methods for advection-diffusion equations
- ChromOps.jl: High-order simulation and discrete forward sensitivity analysis for chromatography models
- Generalized Modulo Hysteresis Encoding
- Optimal Extrapolation Bounds for Sparse Fourier Sums
- On the Robustness of Sparse Randomized Sketching to FP16 Rounding on GPUs