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- Why the Legendary Erdős Problems Are Falling to AI - Mon, 03 Aug 2026 15:05:20 +0000
- A Mean-Informed Low-Rank Monolithic Stochastic Galerkin Solver for the Unsteady Navier-Stokes Equations - Tue, 11 Aug 2026 00:00:00 -0400
- A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise - Tue, 11 Aug 2026 00:00:00 -0400
- A non-conforming finite difference discrete fracture model based on an energy principle - Tue, 11 Aug 2026 00:00:00 -0400
- The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $mathbb R^d$ and Hilbert Spaces - Tue, 11 Aug 2026 00:00:00 -0400
- High-Resolution Weighted Essentially Non-Oscillatory Compact Least-Squares Schemes with Implicit Time Integration for Compressible Navier-Stokes Equations on Curvilinear Grids - Tue, 11 Aug 2026 00:00:00 -0400
- Rational neural networks for tracking complex singularities of nonlinear PDEs - Tue, 11 Aug 2026 00:00:00 -0400
- Convergence of a CutFEM for fluid--structure interaction with a deforming interface - Tue, 11 Aug 2026 00:00:00 -0400
- A frequency-stable Nystr"om method for two-dimensional diffraction by periodic gratings at and near Wood anomalies - Tue, 11 Aug 2026 00:00:00 -0400
- Suppressing Low-Frequency Cancellation Errors in Far-Field Computation with the MFIE, M"uller, and Multitrace M"uller Integral Equations - Tue, 11 Aug 2026 00:00:00 -0400
- Kernel Localization and Whole-Trajectory Generalization for Linear Multistep Methods in Deep Learning-Based Discovery of Dynamical Systems - Tue, 11 Aug 2026 00:00:00 -0400
- Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case - Tue, 11 Aug 2026 00:00:00 -0400
- ADEx-FNO: A Unified Ambient-Domain Framework for Fourier Neural Operators on Varying Geometries - Tue, 11 Aug 2026 00:00:00 -0400
- Exact Finite-Horizon Memory, Conditioning, and Dissipative Decay in Coarse Upwind Finite-Volume Prediction - Tue, 11 Aug 2026 00:00:00 -0400
- Mass Lumping and Numerical Quadrature for Approximation of Fractional Elliptic Differential Equations Driven by Gaussian White Noise - Tue, 11 Aug 2026 00:00:00 -0400
- Discovering PDEs equivariant under rigid motions - Tue, 11 Aug 2026 00:00:00 -0400
- LU Factorization of Discrete Random Matrices - Tue, 11 Aug 2026 00:00:00 -0400
- Two-Step MV-DeepONet: Probabilistic Operator Learning for Uncertainty Propagation Driven by Random Input Fields - Tue, 11 Aug 2026 00:00:00 -0400
- Joint Lyapunov Certificates for K-Agent Generative AI Governance: Stochastic Stability, Emergent Ensemble Risk, and Zero-Knowledge Governance Attestation - Tue, 11 Aug 2026 00:00:00 -0400
- Efficient Multigrid Methods for Semi-implicit Landau-Lifshitz Schemes in Micromagnetic Simulations - Tue, 11 Aug 2026 00:00:00 -0400
- A simple second-order nonstandard numerical method for a general class of dynamical systems and its applications - Tue, 11 Aug 2026 00:00:00 -0400
- On Energy Laws and Stability of First-Subdiagonal Pade Approximants for Linear Seminegative Problems - Tue, 11 Aug 2026 00:00:00 -0400
- High-order fully discrete multi-entropy-stable and bound-preserving schemes for relativistic Euler equations - Tue, 11 Aug 2026 00:00:00 -0400
- A nonlocal nonlinear Schr{"o}dinger model:well-posedness, local limit, and structure-preservingasymptotically compatible Fourier approximations - Tue, 11 Aug 2026 00:00:00 -0400
- poly_rust: a domain-specific language for polytopal methods with a Rust interpreter - Tue, 11 Aug 2026 00:00:00 -0400
- Automatic differentiation in finite element stress updating - Tue, 11 Aug 2026 00:00:00 -0400
- Second order unfitted ghost-FEM for elliptic interface problems with applications to low-dimensional semiconductor devices - Tue, 11 Aug 2026 00:00:00 -0400
- Walk-on-Spheres Monte Carlo and deep neural network approximations of elliptic PDEs with drift and killing - Tue, 11 Aug 2026 00:00:00 -0400
- Conditional Uniqueness and Optimal Energy-Norm Convergence for the Dynamic Diffusion Finite Element Method - Tue, 11 Aug 2026 00:00:00 -0400
- A block preconditioner with two parameters for double saddle point systems in liquid crystal director modeling - Tue, 11 Aug 2026 00:00:00 -0400
- A novel compact scheme for second-order fluxes applied to the Spectral Difference method - Tue, 11 Aug 2026 00:00:00 -0400
- Diffusion Maps Kernel Ridge Regression - Tue, 11 Aug 2026 00:00:00 -0400
- Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory - Tue, 11 Aug 2026 00:00:00 -0400
- Theoretical Analysis of Thermodynamic Matrix Inversion: First-order Equivalence to Preconditioned Gradient Descent and Implications for Analog Computing - Tue, 11 Aug 2026 00:00:00 -0400
- Two-sided estimates of Lyapunov exponents for Milstein schemes of non-autonomous stochastic differential equations - Tue, 11 Aug 2026 00:00:00 -0400
- Information geometric regularization for computing sensitivities of flows with shocks - Tue, 11 Aug 2026 00:00:00 -0400
- Convergence of Galerkin approximations based on asymmetrically-weighted Hermite functions for the Vlasov-Poisson system - Tue, 11 Aug 2026 00:00:00 -0400
- Bijectivity analysis of rational T-spline surfaces via Bernstein representations - Tue, 11 Aug 2026 00:00:00 -0400
- Universal Birkhoff Method for Computing Extremals in the Elliptic Restricted Three-Body Problem - Tue, 11 Aug 2026 00:00:00 -0400
- Second Order Drifting Models - Tue, 11 Aug 2026 00:00:00 -0400
- Differentiate the Solver, Not the Equation: Reverse-Sweep Adjoints for Block Implicit Simulation - Tue, 11 Aug 2026 00:00:00 -0400
- Adaptive Volumetric Parameterization of Simply Connected 3-Manifolds with Applications - Tue, 11 Aug 2026 00:00:00 -0400
- Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay - Tue, 11 Aug 2026 00:00:00 -0400
- A computer-assisted counterexample to the planar Berenstein conjecture - Tue, 11 Aug 2026 00:00:00 -0400
- Telemetry and Concealment in Self-Adapting Generative AI: Logging Architecture, Adversarial Model Hiding, and the Limits of Detection - Tue, 11 Aug 2026 00:00:00 -0400
- Hierarchical rank-evolving representation for physics-informed neural networks - Tue, 11 Aug 2026 00:00:00 -0400
- Training-Free Universal Approximation by Prompting Random Transformers - Tue, 11 Aug 2026 00:00:00 -0400
- Linear Convergence of a Frank-Wolfe-type Method over the Spectrahedron without Strict Complementarity - Tue, 11 Aug 2026 00:00:00 -0400
- Quality of Approximate Balanced Truncation - Tue, 11 Aug 2026 00:00:00 -0400
- Sparsity-Preserving Structured Backward Error Analysis for Double Saddle Point Problems - Tue, 11 Aug 2026 00:00:00 -0400
- Efficient Techniques for Low-Rank Tensor Approximation and Applications in Robust Object Detection - Tue, 11 Aug 2026 00:00:00 -0400
- Relation between two Sinc-collocation methods for Volterra integral equations of the second kind and further improvement - Tue, 11 Aug 2026 00:00:00 -0400
- Sequential Monte Carlo with Gaussian Mixture Approximation for Infinite-Dimensional Statistical Inverse Problems - Tue, 11 Aug 2026 00:00:00 -0400
- Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method - Tue, 11 Aug 2026 00:00:00 -0400
- Decoupling solution and quadrature nodes in meshless Nystr"om methods for second-kind Fredholm integral equations - Tue, 11 Aug 2026 00:00:00 -0400
- High-order integral methods for the Neumann Green's function: applications to capture and signaling problems in two dimensions - Tue, 11 Aug 2026 00:00:00 -0400
- Weyl distributions, spectral properties, and circulant approximation results for quaternion block multilevel Toeplitz matrix sequences - Tue, 11 Aug 2026 00:00:00 -0400
- Projected Sobolev Natural Gradient Descent for Efficient Neural Network Solution of the Gross--Pitaevskii Equation - Tue, 11 Aug 2026 00:00:00 -0400
- A Certified Goal-Oriented A Posteriori Defeaturing Error Estimator for Elliptic PDEs - Tue, 11 Aug 2026 00:00:00 -0400
- Regularity Analysis and Tensor Neural Network Methods for Quasiperiodic Elliptic Equations - Tue, 11 Aug 2026 00:00:00 -0400
- Bulk-surface coupled PDE with an open boundary - Tue, 11 Aug 2026 00:00:00 -0400
- Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping - Tue, 11 Aug 2026 00:00:00 -0400
- The three-dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods - Tue, 11 Aug 2026 00:00:00 -0400
- Programming with Chebfun. Case study: Richards equation - Tue, 11 Aug 2026 00:00:00 -0400
- Performance evaluation of branch-free fused multiply-add algorithms for multi-component-type multiple-precision floating-point arithmetic - Tue, 11 Aug 2026 00:00:00 -0400
- Matrix-Free FFT-HSS Preconditioning for Periodic Landau-Lifshitz-Gilbert Saddle-Point Systems - Tue, 11 Aug 2026 00:00:00 -0400
- Pathwise skew-symmetric discretisation for SDEs with superlinear drift - Tue, 11 Aug 2026 00:00:00 -0400
- Spectral Analysis and Redistribution Thresholds for Cut-Cell Finite-Volume Methods - Tue, 11 Aug 2026 00:00:00 -0400
- An adaptive split-combine Gaussian mixture filter for nonlinear and multimodal state estimation - Tue, 11 Aug 2026 00:00:00 -0400
- On the expressivity of deep Heaviside networks - Tue, 11 Aug 2026 00:00:00 -0400
- Asymptotically short generalizations of $t$-design curves - Tue, 11 Aug 2026 00:00:00 -0400
- On removing orders from amplitude equations - Tue, 11 Aug 2026 00:00:00 -0400
- Physics-Informed Policy Iteration for High-Dimensional Hamilton--Jacobi--Bellman Equations: Interior Error Bounds without Boundary Data - Tue, 11 Aug 2026 00:00:00 -0400
- Machine Learning enhanced parametric Reynolds-averaged Navier-Stokes equations at the full- and reduced-order levels - Tue, 11 Aug 2026 00:00:00 -0400
- Comparison theorems for the extreme eigenvalues of a random symmetric matrix - Tue, 11 Aug 2026 00:00:00 -0400
- Estimating Condition Number with Graph Neural Networks - Tue, 11 Aug 2026 00:00:00 -0400
- Generalization of Zeroth-Order Method for Quotients of Quadratic Functions - Tue, 11 Aug 2026 00:00:00 -0400
- Kreiss stability analysis of Hagstrom-Warburton nonreflecting boundary conditions for the first-order time-dependent Maxwell equations - Tue, 11 Aug 2026 00:00:00 -0400