Numerical analysis & scientific computing
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- A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems
- Exact Representation of Piecewise Polynomial Finite Element Functions by Two-Hidden-Layer Multilayer Perceptrons
- Exact barycentric rational interpolation of analytic functions with an application to the Bessel functions
- On the linearised force balance condition in the analysis of atomistic dislocation models
- Rotating bases for finite element exterior calculus: closed-form change of basis under vertex permutations
- Mesh-Free Numerical Approximation of the Biharmonic Equation via Optimized Kolmogorov--Arnold Neural Networks
- LampAttention: Look-Ahead Mixed-Precision FlashAttention for Dedicated Accelerators
- Well-Conditioned Birkhoff-Collocation Methods for Elliptic-type Problems in Multiple Dimensions
- On bounds for rank growth of iterands in conjugate gradients for Lyapunov equation
- Fast and Stable Harmonic Approximation from Ill-distributed Data using Moving Least Squares
- Marcinkiewicz-Zygmund inequalities for hemispherical t-designs
- Minimax rates for learning spectral Barron functions by deep ReLU neural networks
- A positive-conservative Fourier optimization method for ground states of Bose--Einstein condensates with higher-order interactions
- A Kernel-Aware Two-Grid Preconditioner for Cell-Centered Nearly Incompressible Elasticity
- A fully convergent fixed-point fast sweeping method with the WENO-JS local solver for steady state of hyperbolic conservation laws
- Halpern-Accelerated Majorized ADMM with Optimal Non-Ergodic Convergence under Degenerate Preconditioning
- Worst-Case Completion of Tensors with Approximately Few ANOVA Terms
- ABrA-GD: Adaptive Bregman Accelerated Gradient Descent for Relatively Smooth and (Strongly-)Convex Optimization
- High-accuracy simulation of Picard HMC, part I: Gaussian cloud correction
- Numerical investigation of a homogenized model with effective interface conditions for Stokes flow through porous membranes
- Enhanced attenuation modelling for multispectral computed tomography
- Overcoming the spatial order barrier for nonlinear SPDEs with additive space-time white noise
- Error attribution in gradient random walk methods for parabolic equations
- poly_rust: a domain-specific language for polytopal methods with a Rust interpreter
- A Quantum Spectral Solver for Periodic Incompressible Stokes Flow