Numerical analysis & scientific computing
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- Piecewise P2 finite element space on rectangular meshes in arbitrary dimensions for the biharmonic equation
- Optimal Convergence of Quadratic Not-a-Knot Spline Interpolation on Arbitrary Partitions
- Convex Equilibrium Potentials for Monge--Ampère: Curvature Bounds and A Posteriori Evaluation
- Stability and Error Estimates for Convolution Quadrature under Radial Symbol Bounds
- Adaptive Schauder Stochastic Mirror Descent in Banach Spaces
- Sharp Error Estimates for a Fully Discrete Approximation of Semilinear Stochastic Convection--Diffusion Equations with Additive Noise and Nonsmooth Initial Data
- Compensated Splitting For Generalized Lyapunov Equations
- Sensitivity-Guided Parameter Estimation of Bubbly Liquid via a Nonlinear Wave Equation and Physics-InformedNeuralNetworks
- CoPiT: A conditional Position-induced Transformer for aerodynamic field prediction on unstructured meshes
- Solving and Learning Navier-Stokes Dynamics with the Neural Basis Method
- Covariance-Informed Ensemble Score Filtering: Embedding Localized Covariance Geometry into Score-Based Transport
- Residual-Based Adaptive Refinement in Hybrid Variational-Collocation PINNs for Singular Elliptic PDEs with Mixed Dirichlet-Neumann Boundary Conditions
- A neural density functional for polymer electrolytes with exact structure and transferable Coulomb coupling
- Adding slow magnetoacoustic mode to the HLL-type multi-state approximate Riemann solution
- A Class of Higher-Order Iterative Methods for Simultaneous Solutions of Nonlinear Equations with Applications to Biological Problems
- A well-balanced shock-capturing variational physics-informed neural method for shallow-water flow with topography
- Finite Volumes for a dissipative free boundary problem
- An Arbitrary-Order Augmented Lagrangian Discrete De Rham Scheme for Contact Mechanics with Tresca Friction
- A Novel Matrix-Free Approximate Elemental Inverse for Efficient Preconditioning of Discontinuous Galerkin Spectral Elements
- Polarized Ensemble Kalman Inversion: A Derivative-Free Method for Multimodal Inverse Problems with Non-asymptotic Analysis
- Multilevel Monte Carlo for Polytopic DG Discretisations with Spatially Represented Random Coefficients
- Finite element approximation on piecewise smooth domains
- Adaptive Sparse-grid Discontinuous Galerkin Approximations to the Bhatnagar--Gross--Krook Model
- Classification of Double Saddle-Point Systems
- High-order Simulation of Nearly Hydrostatic Atmospheric Flows