Numerical analysis & scientific computing
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- A posteriori error estimation for coarse or distorted meshes
- Acceleration of Newton's method for nonlinear algebraic systems by preflattening and elimination techniques
- Finite volume discretization and normalized gradient flow for computing minimizers of the rotating Gross-Pitaevskii energy
- An Idealized Model of Matrix Storage and the Tidal Response of Coastal Aquifers
- A Neural-Network Approach for the Stability of Loosely-Coupled FSI Simulations in Hemodynamics
- Multilevel Picard approximations for McKean-Vlasov stochastic differential equations with jumps
- The 2M Multiplication Algorithm for Complex Matrices
- A finite element exterior-to-interior reconstruction in the fractional conductivity inverse problem
- Random permutations using GEPP
- BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: IMEX time-stepping and full effective field
- Neural Sampling with Reweighted Normalizing Flows via the Wasserstein--Fisher--Rao JKO Scheme
- CAFE+FNO: Fourier Kernel Generation via Multiplicative Feature Composition
- UnCut FEM with PHT-splines on unfitted T-meshes
- A method for generating multivariate multiple orthogonal polynomials
- An arbitrarily high-order accurate and locally energy/entropy-stable space-time method for a class of nonlinear wave systems
- Anisotropic Lagrange interpolation on exact spherical triangles
- A locking-free virtual element method for the three-dimensional quasi-static electroporoelasticity equations
- Leapfrog Crank--Nicolson decoupling of wave--heat-type problems
- Physics-Informed Neural Plasticity: PDE Solvers That Reshape Themselves
- Structure-preserving full- and low-rank exponential methods for the optimal control of Lindblad equations
- Fully Deterministic Shallow Neural Networks with Localized Activations. Part II: Condition Number Estimates
- Fully Deterministic Shallow Neural Networks with Localized Activations. Part I: Construction and Optimal Sobolev Approximation
- An energy--stable ALE--FEM with compensated tangential velocity for Navier--Stokes free--boundary flows
- Convergence of kernel and neural-network methods for Hamilton--Jacobi--Bellman equations on unbounded domains
- Shifted tapered-pole approximation on finite sectors: an exact asymptotic and dimension control