Numerical analysis & scientific computing
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- Finance-Informed Operator Learning for Option Pricing with Quantum-Compatible Realizations
- A Sharp Unitarily Invariant Norm Bound for the Off-Diagonal Block Perturbation of a Hermitian Matrix
- Direct reconstruction for acoustic inverse Born scattering
- Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics
- Entropy-Stable and Well-Balanced Discontinuous Galerkin Methods for the Compressible Euler Equations in Vector-Invariant Form
- An unstructured finite-volume Helmholtz method with perfectly matched layers for heterogeneous two-phase acoustics
- Comparison of a Parametric Physics-Informed Neural Network and a Tensorial Reduced-Order Model for the Shallow-Water Dam-Break Problem
- Robust Structure Learning of k-local Lindbladians
- A TVD Active Flux method for scalar conservation laws
- Approximation theory of tree tensor networks: tensorized multivariate functions
- A structure-aware construction of quantum BPX preconditioners for Q1 finite element discretizations of reaction-diffusion problems
- A Finite Element Method for the Grad--Mercier Equation
- Multiresolution Sobolev Trained Fourier Neural Operator for Cross-Resolution Surrogate Modelling of Parametric Two-Phase Darcy Flows in Porous Media
- Convergence and error analysis for numerical approximations of stochastic Leray-Lions equations
- Fourier Energy Strata for the Cubic Schrödinger Equation
- Dispersion-corrected compact finite difference discretizations for the elastic Helmholtz equation in two and three dimensions
- Oriented point-cloud varifolds for estimating the perimeter and computing its Wasserstein gradient flow
- A second-order energy-stable low-regularity integrator for the Navier--Stokes equations
- Chebyshev-Exact Acceleration under Hessian Variation, I: Sine-Jacobi Method
- Stabilization-free virtual element methods based on finite element interpolation
- Ground state energy estimation and preparation by the truncated power method
- Structure Preserving High-Order FDTD Methods for the Nonlinear Kerr-Debye Model with Lorentz Dispersion
- On finite elements for geometrically-exact planar beams with hyperelastic material models
- A general synthetic iterative scheme with high-order spatial discretization for rarefied gas mixture flows
- A Quantum Path to Partial Differential Equations