Numerical analysis & scientific computing
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- A multilevel stochastic-gradient neural solver for boundary integral equations
- Structural conditions on trust-region radius updates. Part I: first-order convergence and complexity
- Motion-Enabled Tomography of Gaussian-Mixture Particles under Unknown Rigid-Body Motion with Parabolic Trajectories
- A boundary integral method for computing electron repulsion integrals in heterogeneous dielectric environments
- Convergence of alternating score-system iterations for regularized Landau particle dynamics
- A counterexample to Kenig's conjecture for the Laplace double-layer operator
- Mixed finite element discretization of intrinsic geometrically exact beams for multiplier-free multibody dynamics
- A noise-level-free parameter-choice rule for iterated Lavrentiev regularization of nonlinear potential monotone ill-posed problems
- Iterated Lavrentiev regularization under random noise: variational source conditions and rates in expectation
- Emulating DGEMM and ZGEMM with INT8 Matrix Engines on Intel Arc GPUs: Ozaki Scheme II on the Xe2 Architecture
- A Reduced-Order Model for the High-Field Vlasov-Poisson-Fokker-Planck System Based on a Micro-Macro Decomposition
- Self-Supervised In-Context Operator Learning for Optimal Mixing in Incompressible Flows
- A Method for Linearization of Systems of Quadratic Equations
- KernelPack-JAX: a meshless differentiable GPU framework for node generation and forward and inverse PDE problems
- Advancing the Theory of Sheffer Sequences via Dual Padé Rational Approximants
- Entropy Stable Element-Local Continuous-Discontinuous Residual Correction Summation-By-Parts Discretization
- A gentle introduction to approximating high-dimensional integrals with lattice rules and a maybe-not-so-gentle introduction to the relevant function spaces for QMC integration
- Maximal Lp-Lq regularity of finite element methods for stochastic parabolic equations in polygonal domains
- Local Approximation of A-Harmonic Functions and the Super-Localization Conjecture
- Sharp Pointwise Error Estimates of Finite Element Methods for the Biharmonic Equation
- Integrable building blocks for symplectic neural networks: learned-type layers, fiber-preserving layers, and what a single layer can do
- LowNet: Looped Wavelet Neural Networks with 24 Learnable Parameters for Solving Poisson Equations
- A simple stability analysis of the Lanczos algorithm in finite precision arithmetic
- Bridging Scales: Asymptotic Analysis and AI-Assisted Formalization
- Yielding-dependent Taylor dispersion in electrokinetic-magnetohydrodynamic Casson microflows