Numerical analysis & scientific computing
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- Sharp approximation rates for shallow ReLU neuralnetworks on critical Besov classes
- A counterexample to vertex interpolation by planar C1 cubic splines
- Rough variational principles and applications to adjoint systems
- A Unified CutFEM Formulation for Finite-Strain Elasticity: Energy Minimisation and Corner Singularities
- High-Order Structure-Preserving SBP Finite Difference Methods for the Vlasov-Maxwell System on Matrix-Free GPUs
- An Inverse Problem for Determining the Piston Speed from a Given Lipschitz Leading Shock
- A review of weakly enforced Dirichlet boundary conditions in computational flow analysis
- Convergence rates of randomly pivoted methods for low-rank approximation
- Terminating Zero-Balanced Hypergeometric Series Using Divided Differences
- A Second Order Positivity-Preserving Scheme for the Nonlocal Cahn-Hilliard System with Variable Mobility and Logarithmic Flory-Huggins Potential
- Polytopic symmetric interior-penalty approximation of elliptic SPDEs driven by spatial white noise
- Crouzeix--Raviart--Marini realisation of computable a priori L2-error bounds on anisotropic meshes
- Quasi-uniform designs from random candidates: optimal candidate complexity and farthest-point sampling
- Robust high-dimensional integration using medians of coarsely scrambled Sobol' sequences
- A structure-preserving implicit-explicit method for a hyperbolic approximation of fourth-order PDEs
- High-order smoothness and high-order collocation approximation for Volterra integral equation with multiscale and nonlinear exponent kernel
- Efficient C1 Bernstein Quasi-Trefftz Discretization for Heterogeneous High-Frequency Helmholtz Problems
- Nonlinear elliptic homogenization with the parametric Deep Ritz method
- InKAN: B-Spline KANs via Truncated Power Form
- Foundations of Global Ocean Climate Modelling at all Scales
- Anchored Regularized Direct Least Squares (ARDLS): Integrating Established Prioritization Operators for Priority Elicitation in the Analytic Hierarchy Process
- Robust High-Order Projector-Splitting Integrators
- A counterexample to Kusner's conjecture on equilateral sets
- Effects of Trotter Error, Digitization Error, and Initial State Overlap on Tapered Quantum Phase Estimation for Minimum Eigenvalue Computation
- Sloshing reduction in a swaying tank with porous baffles using scaled boundary finite element method