Numerical analysis & scientific computing
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- Error Bounds for Boundary-Stopped Positive Cubature Schemes for Hamilton--Jacobi--Bellman Equations
- Latent Inversion of Material Coefficients from Boundary Data via Finite Tests and Neural Surrogates
- An arbitrary-order BGG-based discrete scheme for the Reissner--Mindlin plate problem on polygonal meshes
- High-Fidelity Digital Twin Data Models by Randomized Dynamic Mode Decomposition and Deep Learning with Applications in Fluid Dynamics
- A Reynolds-Semi-Robust, Globally Divergence-Free E-HDG/IMEX-SAV Method for Variational Initial-State Data Assimilation of the Navier-Stokes Equations
- Near-Optimal Nonconvex Matrix Completion
- From Consensus-Based Optimization to Particle Swarm Optimization: Convergence Guarantees under Drift-Diffusion Coupling
- Well-posedness, Regularity, and Strong Approximations of Superlinear Stochastic Reaction-Diffusion Equation
- Online adaptive non-intrusive model reduction via manifold interpolation and subspace updates: application to FSI convergence acceleration
- Mixed precision solvers for the all-at-once Runge--Kutta discretization of the heat equation
- Bilinearity Preserving Algebraic Flux Correction
- Penalty-Uniform Localization for State-Constrained Policy Iteration
- A Matrix-free Augmented High Order Compact Solver for Variable-Coefficient Biharmonic Problems
- Beyond Phase Reduction: Amplitude Collapse in Optimal Control of Coupled Oscillators
- Localized maximum-norm error estimates for the Hellan-Herrmann-Johnson method
- Picard-Based Acceleration of Newton Continuation for Mean Field Game PDE Systems
- Sharp Sobolev Sandwich and Approximation Rates of Radon-Domain Lp Ridge Integral Spaces for ReLUk Networks
- A derivative-free framework for capturing macroscopic behavior of incompressible turbulent flows
- The sharp CFL condition of the piecewise constant sparse grid discontinuous Galerkin method for high-dimensional transport equations
- Toward Pólya's Conjecture: Improving the Individual Li-Yau Bound via Energy Orthogonality
- Nonlinear filtering stabilizations for the quasi-geostrophic equations
- An energy stable and accuracy-preserving finite volume scheme based on the SAV method with application to wall-distance computation
- Structure-Informed Data-Driven Reduced-Order Modeling of Scalar Hyperbolic Conservation Laws via Kinetic Defect Measure
- Guaranteed wave-speed bounds for the compressible Euler equations with a composite equation of state
- Wavenumber-explicit stability of three-dimensional Cartesian UPMLs with piecewise-constant profiles for Helmholtz and Maxwell equations