Numerical analysis & scientific computing
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- Reduced-order topology optimization of defect spectra in phononic crystals
- A New Tucker Model for Three-Way Functional Data: FTucker-3
- Relaxation via separable estimators: arithmetic and implementation.
- Residual-based Adaptive Refinement of hp-Variational PINNs for elliptic PDEs with geometric singularities and localized features
- Global Regularization of the Spatial Elliptic Restricted Three-body Problem: Quaternionic, Hamiltonian Formulation
- Generalized PINN-Based Inverse Estimation of Spatially Varying Heat Transfer Coefficients with Transfer Learning
- The Quality of Lattice Sequences for Arbitrary Sample Size
- A Two-level Filtered Subspace Iterative Method for Generalized Hermitian Interior Eigenvalue Problems
- Learning Closure of Dynamical Systems with Kernel Ridge Regression
- Uniform Computability of Isotypic Block Diagonalization for Finite-Group Representations
- Strong error analysis of a stochastic exponential integrator for SPDEs driven by fractional Brownian motion with H<1/2
- Approximation Property of Dropout Neural Networks: Sobolev Rates and Confidence Bounds
- Computer-assisted local maximality of regular polygons for torsional rigidity
- Same Mean Lag, Different Stability: Periodic Implementation in Adaptive Competition
- FlashSinkhorn 2: Block-Sparse Entropic Optimal Transport
- A Polynomial-Scaling PDE Solver with Entanglement-Basis Tensor Networks
- A Generalized Source Integral Equation for Homogeneous Penetrable Scatterers
- Kolmogorov-Arnold Networks for Free-Boundary Partial Differential Equations
- Entropy dissipative high order schemes for a hyperbolic model of two-layer thin film flow
- Approximation and computation of the geodesic Sinkhorn distance
- Rigorous and effective numerics for Liverani-Saussol-Vaienti maps
- Deterministic and stochastic particle methods for the Fokker-Planck equation in S--formulation with application to point set registration
- Theoretical guarantees for stochastic gradient Langevin dynamics
- An Unfitted Hybrid High-Order Method for the Elastodynamics Problem with Imperfect Interface
- Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms