Numerical analysis & scientific computing
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- ADER-ZIST - a mixed explicit ADER-DG and zonally implicit space-time DG approach for Cartesian cut cell meshes
- Numerical Stability of Extended-Domain Spectral Collocation: Floating-Point Regularization and an Equilibrium Law for the Frame Constants
- Linear and entropy-stable scheme for the dynamic van der Waals model of non-isothermal liquid-vapor flows
- Numerical Smoothness and Error Analysis for Evolution Equations
- A kernel-independent precorrected-FFT method
- asdex: Automatic Sparse Differentiation in JAX
- Analysis and Detection of Stagnation in Floating-Point Summation
- Differentiable Hybrid Modelling for Learning and Optimising Chemical Transport Processes from Experimental Data
- AlgMortar: a fully algebraic multiscale mortar preconditioner
- Global Optimization of Beam Profiles for Suppressing the Bump-On-Tail Instability
- Block encoding of semiseparable matrices via their generators
- Riemannian Hessian analysis of Sobolev gradient flows for the Gross--Pitaevskii ground state problem
- An asymptotic-preserving reduced-order method for parametrised rarefied gas flow by proper generalised decomposition
- Symplectic-inspired neural operators for discretization-invariant light propagation with exact power conservation
- Butcher series for Hamiltonian Poisson integrators through symplectic groupoids
- Local flux high-order well-balanced WENO finite-difference methods for hyperbolic systems with source terms
- Variational neural transport for aggregation-diffusion equations
- A Framework for Arbitrary-Order Electromagnetic Field Approximation Based on Analytical Solutions of Maxwell's Equations
- Symbolic-Permutation-Based Direct Sparse Jacobian Assembly for Accelerated Power-Flow Analysis
- Median randomized quasi-Monte Carlo for nested integration
- Mesh-Native Tokenisation: Retrofitting Foundation Models to Unstructured Data
- Second-Order Accuracy from Large Local Errors in Interface Problems: A Discrete Green's Function Analysis
- Polyconvex neural-network surrogates with learned paired directional features for anisotropic hyperelastic homogenization
- Fourier Transform-Based Computation of Two-Electron Four-Center Coulomb Repulsion Integrals
- Volume Sampling and Spectral Equalization in Randomized Alternating Projections