Numerical analysis & scientific computing
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- Beyond PINNs: A Unified Gauss--Newton and Petrov--Galerkin Framework for Neural and Hybrid PDE Solvers
- Incremental Column Subset Selection via Conditional Determinantal Point Processes
- A Hybrid High-Order Method for the Elasticity Problem with Linear Slip Interface
- An optimal order fractional backward collocation method for adjoint Volterra integro-differential equations
- Monte Carlo Approximations of Time-Nonlocal Diffusions in Bounded Domains
- Accelerating structural optimization via EIFEM: a ROM-based preconditioner
- Validating Hexahedra through their Boundaries
- Entropy-Based Local Characteristic Decomposition
- A Fictitious Domain Formulation with Bubble Enrichment
- An interior penalty nonconforming finite element method for strain gradient elasticity
- A Regularized Newton-Type Method for Manifold--Affine Intersection Problems under Intrinsic Transversality
- Encounter Propagator for Multiple Targets: A Dirichlet-to-Neumann Spectral Formalism
- Mixed-precision GPU algorithms for efficient turbulent flow simulations with Raviart-Thomas finite elements
- CDFCI: High-Performance Parallel Software for Quantum Many-Body Eigenvalue Problems
- Dynamics of Stochastic Hamiltonian systems I - Wong-Zakai Variational integrators
- Wideband Directional ℋ2-Matrix Compression for the Electric Field Integral Equation with Geometry-Adaptive Cluster Trees
- Deep Learning for Singular PDEs: A Weighted Neural Network Approach
- Reference-free logged energy-oracle recovery for neural approximations of symmetric coercive variational problems: conforming Riesz reconstruction and archive-level selection
- Geometry-induced formation and merging of multiple dead zones in diffusion-reaction problems
- Boundary parity in the mirror model on the Manhattan lattice
- Site-scale, Multi-resolution WRF Wind Modeling with Observational Nudging for Methane Emission Monitoring in the Permian Basin
- Largest-dihedral-angle bisection algorithm does not preserve mesh regularity for tetrahedral partitions
- Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures
- A Reynolds-Semi-Robust, Globally Divergence-Free HDG Method for the Smagorinsky Model
- Numerical approximation for stochastic differential equations with state-dependent fast switching