Numerical analysis & scientific computing
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- DiffStent: Surrogate Adjoint Differentiation for Stent Deployment in Anisotropic Arteries
- A Direct Approach to Hermite Interpolation
- Well-balanced second-order approximation of the compressible atmospheric Euler equations
- Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond
- A dual-field structure-preserving mixed finite element discretization for incompressible Hall MHD equations
- Weighted H2 regularity for a Stokes--Lam\'{e} fluid-structure interaction problem with interface--boundary intersections
- Dirichlet form approach to stochastic thin-film equations
- Stochastic Rayleigh-Ritz Ascent: Global Linear Convergence under a Spectral Gap
- Stochastic processes on reductive homogeneous and symmetric spaces
- A Robust High-order Approximation of the Gray Thermal Radiative Transfer Equations
- W1,p error estimates of an IPDG and a class of HDG methods for the Poisson problem on convex polyhedral domains
- Numerical analysis of linear finite element methods for the Gross--Pitaevskii eigenvalue problem
- A Preconditioned Quantum Linear Solver for Periodic Two-Phase Heat Conduction with Mesh-Independent Condition Number
- A Gaussian Process Regression-Enhanced Two-Sweep Parameterized Power Method for Computing Extreme Eigenpairs
- An energy-constrained implicit step-and-truncate algorithm and its robust error estimates
- On reduced SPDE models for stochastic Cucker-Smale flocking dynamics
- Exact construction of quasi-uniform designs over polytopal domains
- An Efficient Randomized Hierarchical Tucker Decomposition
- Numerical methods for nonlinear stochastic differential equations driven by subdiffusion
- A well-balanced path-conservative discontinuous Galerkin method with generalized hydrostatic reconstruction for non-conservative balance laws
- A Good-Vorticity Low-Regularity Integrator for the Inviscid Oldroyd--B System with Stress Diffusion
- General Frequency Principle for Linear Approximation Classes
- Robust edge multiscale space based hybrid Schwarz preconditioner for high-frequency Helmholtz problems
- A Twin gradient method for unconstrained optimization
- Finite difference methods for a continuous-time heterogeneous agent model with recursive utility