Numerical analysis & scientific computing
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- A mixed finite element method for the Babuška paradox using only discrete geometry
- HiLNO: A Hierarchical Latent Neural Operator with Multi-Scale Supervision for PDEs on General Geometries
- A mass-conserving stress-yielding formulation for the Stokes equation with exact stress symmetry
- A Factorization Method for Support Recovery in Magnetic Induction Tomography
- The Role of Bifurcations in Parameter Estimation: A UQ Analysis of the Non-spatial Klausmeier Model
- A Lattice Boltzmann Method with Adaptive Relaxation Parameter and Lax--Friedrichs-Type Equilibrium for Hyperbolic Systems
- A Geometric View of Adaptive Cross Approximation via Exterior Algebra
- A nonlocal nonlinear Schrödinger model: well-posedness, local limit, and structure-preserving asymptotically compatible Fourier approximations
- Simple-regret rates and minimax optimality of fixed-prior expected improvement in Matérn and squared-exponential RKHSs
- A sufficient condition for the existence of solutions of singular linear-quadratic vector equations
- Relaxation via Separable Estimators: Arithmetic and Implementation
- Graph lattice sums and graph zeta functions for long-range interacting quantum lattice models
- A Highly Scalable Quantized Tensor-Train FDTD Framework for the Simulation of Three-Dimensional Electromagnetic Scattering Problems
- Constrained weak identification of Allen--Cahn free energies with surface-tension calibration
- MLegS: A modern mapped Legendre spectral method solver for unbounded domains with parallelization
- Learning Interaction Kernels from Collective Steady States
- A variational mollification approach to circular deconvolution
- Approximating Measures on Function Spaces: Transport and Truncation
- Spatio-temporal Latent Denoising Diffusion Probabilistic Models for Reduced-order Modeling of Parametrized Dynamical Systems
- On the computational cost of Stochastic Gradient Langevin Dynamics
- A domain decomposition method for the directional contact angle hysteresis interval on doubly periodic rough surfaces
- Convergence in Hölder norms for Markovian approximations of stochastic Volterra equations
- Algebraic convergence analysis for the Interface Control Domain Decomposition (ICDD) method
- Quasi-Helmholtz Calderón Multiplicative Preconditioning for Higher-Order Global Multi-Trace Integral Equations
- A provably convergent MM-GKS variant for large-scale inverse problems