Numerical analysis & scientific computing
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- Phase Transition from Random Features to Fully Trainable Networks
- Convex Bernstein limits and sharp recovery on expanding intervals
- Structure-preserving reduced-order models of thin panels in supersonic and hypersonic flow
- Mixed-Precision Coalesced Matrix-Free Multigrid with Vertex-Patch Smoothing
- Conservative Finite Element Methods for Kirchhoff-Type Equations
- A Fast Algorithm for Quaternion Tensor Singular Value Decomposition under the T-product
- Adaptive Local Proper Orthogonal Decomposition via Graph Partitioning and Provable Error-Bounded Lossy Compression for Parametric Series in Finite-Dimensional Function Spaces
- Sketching Outside the Hilbert Space for the Infinite-Dimensional Randomised SVD
- Strong Duality Thresholds and Minimum Curvature for the Nearest Rectangular Symplectic Matrix Problem
- Numerical reconstruction of polygonal obstacles by diffracted waves
- Deep ReLU Networks Can Fail the Best Approximation Property for Continuous Target Functions
- Finite Element Approximation of Rotating MHD-Boussinesq Flows with Nonlinear Power-Law Viscosity
- Sequential Monte Carlo Sampling of Feasible Regions Represented by R-Functions
- Data-dependent Compact Multinode Shepard Method
- Numerical Solution of Large-Scale Low-Rank Coupled Generalized Sylvester Equations
- A Modified Direct Eigenvalue Swapping Algorithm with Guaranteed Stability
- Generalized MLS and LS-SVR for Allen-Cahn Equations on Spheres
- Learned smoothing in operator-adapted multigrid: controlled accuracy gains and computational limits
- Simultaneous Matrix Multiplication by Tensor Contraction Aggregation
- A data-based conservative reduced collision model for the Boltzmann equation
- Sum of Squares and Non Sum of Squares Regimes for the Toeplitz Bottcher Wenzel Form
- Deep Truncated FBSDE Method for High-Dimensional Nonlinear PDEs and Fully Coupled FBSDEs
- Spectral deferred corrections parallelized across the method for differential-algebraic equations
- A second-order linear decoupled scheme with a relaxed zero-energy variable for Rayleigh-Bénard convection
- Stiff source terms inside ADER-DG method