Random nodes with positive weights: Richter-Tchakaloff rules and opt... arXiv:2610.32699 Neural network enhancement of the Born approximation arXiv:2610.32764 Numerical analysis of a Lax-Wendroff type lattice Boltzmann scheme f... arXiv:2610.32810

A linear dual-field finite element method for incompressible MHD, pa... arXiv:2610.32476 Numerical approximation of probabilistically strong solutions to the... arXiv:2610.32588 Universal neural network approximation of symmetric polyconvex energ... arXiv:2610.32598

A domain-decomposition reduced-order model for two-phase CO_2 seques... arXiv:2610.32340 Long-time stability and convergence of a BDF3 method for a parabolic... arXiv:2610.32364 An Arbitrary-Order Augmented Lagrangian Discrete De Rham Scheme for ... arXiv:2610.32471

Covariance-Informed Ensemble Score Filtering: Embedding Localized Co... arXiv:2610.32148 Weak adversarial tensor neural network for high-dimensional Fokker-P... arXiv:2610.32169 An energy-stable parametric finite element framework for surface dif... arXiv:2610.32270

A Novel Matrix-Free Approximate Elemental Inverse for Efficient Prec... arXiv:2610.31982 Optimal Convergence of Quadratic Not-a-Knot Spline Interpolation on ... arXiv:2610.32044 Piecewise P_2 finite element space on rectangular meshes in arbitrar... arXiv:2610.32048

Finite element approximation on piecewise smooth domains arXiv:2610.31822 Multilevel Monte Carlo for Polytopic DG Discretisations with Spatial... arXiv:2610.31861 Polarized Ensemble Kalman Inversion: A Derivative-Free Method for Mu... arXiv:2610.31907

Convex Bernstein limits and sharp recovery on expanding intervals arXiv:2610.31546 Phase Transition from Random Features to Fully Trainable Networks arXiv:2610.31663

A Fast Algorithm for Quaternion Tensor Singular Value Decomposition ... arXiv:2610.31451 Conservative Finite Element Methods for Kirchhoff-Type Equations arXiv:2610.31487 Mixed-Precision Coalesced Matrix-Free Multigrid with Vertex-Patch Sm... arXiv:2610.31496

Sketching Outside the Hilbert Space for the Infinite-Dimensional Ran... arXiv:2610.31333 Adaptive Local Proper Orthogonal Decomposition via Graph Partitionin... arXiv:2610.31375 Convex Equilibrium Potentials for Monge--Amp\`ere: Curvature Bounds ... arXiv:2610.31386

Data-dependent Compact Multinode Shepard Method arXiv:2610.31026 Finite Element Approximation of Rotating MHD-Boussinesq Flows with N... arXiv:2610.31091 Numerical reconstruction of polygonal obstacles by diffracted waves arXiv:2610.31271

Generalized MLS and LS-SVR for Allen-Cahn Equations on Spheres arXiv:2610.30714 A Modified Direct Eigenvalue Swapping Algorithm with Guaranteed Stab... arXiv:2610.30795 Numerical Solution of Large-Scale Low-Rank Coupled Generalized Sylve... arXiv:2610.30804

The reverse Ritz inclusion: computable bounds on the pseudospectra o... arXiv:2610.30530 High-Order Fully Discrete Entropy-Stable DG Methods with Compact Exp... arXiv:2610.30535 Learned smoothing in operator-adapted multigrid: controlled accuracy... arXiv:2610.30692

Comb Tensor Network Finite-Difference Time-Domain Algorithms for 2D ... arXiv:2610.30486 Discovery of Singularities in Partial Differential Equations Using A... arXiv:2610.30492 Entropy bounded compact stencil Runge-Kutta discontinuous Galerkin m... arXiv:2610.30496

A unified variational framework for augmented Lagrangian preconditio... arXiv:2610.30357 Robust topology optimization of isogeometric Kirchhoff--Love shells ... arXiv:2610.30389 Energy-rate equidistribution for adaptive SSAV--BDF2 integration of ... arXiv:2610.30454

Summation-by-parts operators for general function spaces: Flux diffe... arXiv:2610.30272 Structure-Preserving Dimension Reduction and Surrogates for Partiall... arXiv:2610.30306 Matrix-Free Local Multigrid for C^1 Hermite Discretizations on GPUs arXiv:2610.30308

Triple Products of Correlated Multivariate Hermite Polynomials arXiv:2610.30204 Relaxation and \Gamma-Convergence of Stretch Energy on Surface Homeo... arXiv:2610.30214 DBDSVDMR3: An MRRR-Based Bidiagonal SVD Solver Built from DSTEGR arXiv:2610.30227

When Windowed Anderson Acceleration Converges Faster arXiv:2610.30073 A linear, second-order, unconditionally energy-stable scalar-auxilia... arXiv:2610.30077 Scaling H2 Factorization to Billion-Unknown Three-Dimensional Problems arXiv:2610.30131

In vitro starch digestion kinetic, formal analysis and new kinetic m... arXiv:2610.29806 Swarmlet: a GPU-resident reformulated vortex particle method for cou... arXiv:2610.29867 Rigorous integration of semilinear parabolic PDEs: forward evolution... arXiv:2610.29871

Dynamical low-rank approximations for the optimal control of matrix ... arXiv:2610.29554 Parameters Robust Parallelizable Iterative Decoupled Algorithms for ... arXiv:2610.29668 Stability analysis of boundary element methods for the wave equation... arXiv:2610.29795

Sparse-grid discretizations of BGG sequences arXiv:2610.29516 A recovery based linear finite element method for the Monge--Amp\`{e... arXiv:2610.29536 Sequential Entropic Optimal Transport for Bayesian Inverse Problems ... arXiv:2610.29546