Numerical analysis & scientific computing
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- PH2T-splines, Part I: A Reasonable Mesh Assumption
- Control Strategies for Multi-Species Wasserstein Gradient Flows
- Deep operator learning for efficient sampling from invariant measures of stochastic differential equations
- The tubal Arnoldi method for tensor function approximation
- Scalable Approximate Selected Inversion Based on Single-Level Incomplete LDLT Factorization and Spectral Corrections for Large Sparse Systems
- Time-optimal elevator control with higher-order state constraints: analysis and computation of boundary contacts
- Cartesian PML truncation for the Helmholtz equation is exponentially accurate at high frequency
- Minimax-Optimal Early Stopping for Continuous-Time SGD via the Discrepancy Principle
- Sparse Approximation via Polynomial Equations
- Mixed Hybrid High-Order Methods for Sixth-Order Problems: Fully Non-conforming and C0-Conforming Discretizations
- Dirichlet-Neumann Waveform Relaxation Method for Hyperbolic PDE with Time Delay in Multiple Subdomains
- Neumann-Neumann Waveform Relaxation Method for Hyperbolic PDE with Time Delay
- Additive reduced basis preconditioners for large-scale parametrized PDEs
- Adaptive Diagonally Implicit Runge-Kutta Methods Devoid of Order Reduction for Semilinear ODEs
- Polynomial preserving recoveries of edge element method on Cartesian grids for the time-harmonic Maxwell equations with large wave number
- A Second-Order Method for Locating Critical Points of Prescribed Index on Energy Landscapes
- A variational physics-informed graph neural network for heterogeneous solid mechanics
- Stress-divergence, Laplacian, and rotational forms of the incompressible Navier--Stokes equations with variable viscosity
- Weakly Symmetric and Traceless Tangential-Normal Tensor Finite Elements: Application to the Brinkman Equations
- A discontinuous finite element method for the hydroelastic analysis of submerged structures
- On Prior-to-Posterior Stability in the Wasserstein Metric for Bayesian Inverse Problems
- Posterior Convergence without Force Convergence: Resolution-Stable Sampling for Rough Bayesian Inverse Problems
- High-order Energy-stable and Charge-conservative Lagrangian FEM for 3D Incompressible Inductionless MHD equations with Variable Density
- Monotone Neural Policy Iteration for High-Dimensional First-Order Hamilton--Jacobi--Bellman Equations
- Full-window branch discovery and loss-selected EnKF continuation for data assimilation